chore: added default instantiate for hierarchy object factory

Since in a typical use case of these classes they are already in the
hierarchy and it bloats the behaviour code with lots of null checks

.editorconfig

@@ -0,0 +1,225 @@
+# EditorConfig is awesome: https://EditorConfig.org
+
+# top-most EditorConfig file
+root = true
+
+# Don't use tabs for indentation.
+[*]
+indent_style = space
+# (Please don't specify an indent_size here; that has too many unintended consequences.)
+spelling_exclusion_path = SpellingExclusions.dic
+
+# Code files
+[*.{cs,csx,vb,vbx}]
+indent_size = 4
+insert_final_newline = true
+charset = utf-8-bom
+
+# XML project files
+[*.{csproj,vbproj,vcxproj,vcxproj.filters,proj,projitems,shproj}]
+indent_size = 2
+
+# XML config files
+[*.{props,targets,ruleset,config,nuspec,resx,vsixmanifest,vsct}]
+indent_size = 2
+
+# JSON files
+[*.json]
+indent_size = 2
+
+# Powershell files
+[*.ps1]
+indent_size = 2
+
+# Shell script files
+[*.sh]
+end_of_line = lf
+indent_size = 2
+
+# Dotnet code style settings:
+[*.{cs,vb}]
+
+# Sort using and Import directives with System.* appearing first
+dotnet_sort_system_directives_first = true
+dotnet_separate_import_directive_groups = false
+# Avoid "this." and "Me." if not necessary
+dotnet_style_qualification_for_field = false:refactoring
+dotnet_style_qualification_for_property = false:refactoring
+dotnet_style_qualification_for_method = false:refactoring
+dotnet_style_qualification_for_event = false:refactoring
+
+# Use language keywords instead of framework type names for type references
+dotnet_style_predefined_type_for_locals_parameters_members = true:suggestion
+dotnet_style_predefined_type_for_member_access = true:suggestion
+
+# Suggest more modern language features when available
+dotnet_style_object_initializer = true:suggestion
+dotnet_style_collection_initializer = true:suggestion
+dotnet_style_coalesce_expression = true:none
+dotnet_style_null_propagation = true:suggestion
+dotnet_style_explicit_tuple_names = true:suggestion
+
+# Whitespace options
+dotnet_style_allow_multiple_blank_lines_experimental = false:error
+
+# IDE0055: Fix formatting
+# Workaround for https://github.com/dotnet/roslyn/issues/70570
+dotnet_diagnostic.IDE0055.severity = suggestion
+
+# https://github.com/dotnet/roslyn-analyzers/issues/7436 - False positives from valid GetDeclaredSymbol calls
+dotnet_diagnostic.RS1039.severity = none
+
+# CSharp code style settings:
+
+# IDE0029: Use coalesce expression
+dotnet_diagnostic.IDE0029.severity = none
+
+# IDE0040: Add accessibility modifiers
+dotnet_diagnostic.IDE0040.severity = warning
+
+[*.cs]
+# Newline settings
+csharp_new_line_before_open_brace = all
+csharp_new_line_before_else = true
+csharp_new_line_before_catch = true
+csharp_new_line_before_finally = true
+csharp_new_line_before_members_in_object_initializers = true
+csharp_new_line_before_members_in_anonymous_types = true
+csharp_new_line_between_query_expression_clauses = true
+
+# Indentation preferences
+csharp_indent_block_contents = true
+csharp_indent_braces = false
+csharp_indent_case_contents = true
+csharp_indent_case_contents_when_block = true
+csharp_indent_switch_labels = true
+csharp_indent_labels = flush_left
+
+# Whitespace options
+csharp_style_allow_embedded_statements_on_same_line_experimental = true
+csharp_style_allow_blank_lines_between_consecutive_braces_experimental = false:error
+csharp_style_allow_blank_line_after_colon_in_constructor_initializer_experimental = true
+csharp_style_allow_blank_line_after_token_in_conditional_expression_experimental = true
+csharp_style_allow_blank_line_after_token_in_arrow_expression_clause_experimental = true
+
+# Prefer "var" everywhere
+csharp_style_var_for_built_in_types = false:warning
+csharp_style_var_when_type_is_apparent = false:warning
+csharp_style_var_elsewhere = false:warning
+
+# Prefer method-like constructs to have a block body
+csharp_style_expression_bodied_methods = false:none
+csharp_style_expression_bodied_constructors = false:none
+csharp_style_expression_bodied_operators = false:none
+
+# Prefer property-like constructs to have an expression-body
+csharp_style_expression_bodied_properties = true:none
+csharp_style_expression_bodied_indexers = true:none
+csharp_style_expression_bodied_accessors = true:none
+
+# Suggest more modern language features when available
+csharp_style_pattern_matching_over_is_with_cast_check = true:suggestion
+csharp_style_pattern_matching_over_as_with_null_check = true:suggestion
+csharp_style_inlined_variable_declaration = true:suggestion
+csharp_style_throw_expression = true:suggestion
+csharp_style_conditional_delegate_call = true:suggestion
+csharp_style_prefer_extended_property_pattern = true:suggestion
+
+# Space preferences
+csharp_space_after_cast = false
+csharp_space_after_colon_in_inheritance_clause = true
+csharp_space_after_comma = true
+csharp_space_after_dot = false
+csharp_space_after_keywords_in_control_flow_statements = true
+csharp_space_after_semicolon_in_for_statement = true
+csharp_space_around_binary_operators = before_and_after
+csharp_space_around_declaration_statements = do_not_ignore
+csharp_space_before_colon_in_inheritance_clause = true
+csharp_space_before_comma = false
+csharp_space_before_dot = false
+csharp_space_before_open_square_brackets = false
+csharp_space_before_semicolon_in_for_statement = false
+csharp_space_between_empty_square_brackets = false
+csharp_space_between_method_call_empty_parameter_list_parentheses = false
+csharp_space_between_method_call_name_and_opening_parenthesis = false
+csharp_space_between_method_call_parameter_list_parentheses = false
+csharp_space_between_method_declaration_empty_parameter_list_parentheses = false
+csharp_space_between_method_declaration_name_and_open_parenthesis = false
+csharp_space_between_method_declaration_parameter_list_parentheses = false
+csharp_space_between_parentheses = false
+csharp_space_between_square_brackets = false
+
+# Blocks are allowed
+csharp_prefer_braces = true:silent
+csharp_preserve_single_line_blocks = true
+csharp_preserve_single_line_statements = true
+
+# IDE0060: Remove unused parameter
+dotnet_diagnostic.IDE0060.severity = warning
+
+[src/{Compilers,ExpressionEvaluator,Scripting}/**Test**/*.{cs,vb}]
+
+# IDE0060: Remove unused parameter
+dotnet_diagnostic.IDE0060.severity = none
+
+[src/{Analyzers,CodeStyle,Features,Workspaces,EditorFeatures,VisualStudio}/**/*.{cs,vb}]
+
+# IDE0011: Add braces
+csharp_prefer_braces = false:warning
+# NOTE: We need the below severity entry for Add Braces due to https://github.com/dotnet/roslyn/issues/44201
+dotnet_diagnostic.IDE0011.severity = warning
+
+# IDE0040: Add accessibility modifiers
+dotnet_diagnostic.IDE0040.severity = warning
+
+# IDE0052: Remove unread private member
+dotnet_diagnostic.IDE0052.severity = warning
+
+# IDE0059: Unnecessary assignment to a value
+dotnet_diagnostic.IDE0059.severity = warning
+
+# CA1012: Abstract types should not have public constructors
+dotnet_diagnostic.CA1012.severity = warning
+
+# CA1822: Make member static
+dotnet_diagnostic.CA1822.severity = warning
+
+# Prefer "var" everywhere
+dotnet_diagnostic.IDE0007.severity = warning
+csharp_style_var_for_built_in_types = false:warning
+csharp_style_var_when_type_is_apparent = false:warning
+csharp_style_var_elsewhere = false:warning
+
+# csharp_style_allow_embedded_statements_on_same_line_experimental
+dotnet_diagnostic.IDE2001.severity = warning
+
+# csharp_style_allow_blank_line_after_colon_in_constructor_initializer_experimental
+dotnet_diagnostic.IDE2004.severity = warning
+
+# csharp_style_allow_blank_line_after_token_in_conditional_expression_experimental
+dotnet_diagnostic.IDE2005.severity = warning
+
+# csharp_style_allow_blank_line_after_token_in_arrow_expression_clause_experimental
+dotnet_diagnostic.IDE2006.severity = warning
+
+[src/{VisualStudio}/**/*.{cs,vb}]
+# CA1822: Make member static
+# There is a risk of accidentally breaking an internal API that partners rely on though IVT.
+dotnet_code_quality.CA1822.api_surface = private
+
+[**/{ExternalAccess}/**/*.{cs,vb}]
+
+# RS0016: Only enable if API files are present
+dotnet_public_api_analyzer.require_api_files = true
+
+dotnet_diagnostic.RS0051.severity = error
+dotnet_diagnostic.RS0052.severity = error
+dotnet_diagnostic.RS0053.severity = error
+dotnet_diagnostic.RS0054.severity = error
+dotnet_diagnostic.RS0055.severity = error
+dotnet_diagnostic.RS0056.severity = error
+dotnet_diagnostic.RS0057.severity = error
+dotnet_diagnostic.RS0058.severity = error
+dotnet_diagnostic.RS0059.severity = error
+dotnet_diagnostic.RS0060.severity = error
+dotnet_diagnostic.RS0061.severity = error

Engine.Core/Abstract/Assignable/IAssignable.cs

@@ -8,7 +8,7 @@ public interface IAssignable
     /// <summary>
     /// Event triggered when the <see cref="IAssignable"/>'s fields are unassigned and completely ready to recycle.
     /// </summary> 
-    event OnUnassignedDelegate? OnUnassigned;
+    event UnassignEventHandler? OnUnassigned;
 
     /// <summary>
     /// Unassign <see cref="IAssignable"/>'s all fields and make it ready to recycle.
@@ -18,5 +18,5 @@ public interface IAssignable
     /// </returns>
     bool Unassign();
 
-    delegate void OnUnassignedDelegate(IAssignable sender);
+    delegate void UnassignEventHandler(IAssignable sender);
 }

Engine.Core/Abstract/Assignable/IAssignableGameObject.cs

@@ -1,26 +0,0 @@
-namespace Syntriax.Engine.Core.Abstract;
-
-/// <summary>
-/// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="IGameObject"/> field.
-/// </summary>
-public interface IAssignableGameObject : IAssignable
-{
-    /// <summary>
-    /// Event triggered when the <see cref="IGameObject"/> value has has been assigned a new value.
-    /// </summary>
-    event OnGameObjectAssignedDelegate? OnGameObjectAssigned;
-
-    /// <inheritdoc cref="IGameObject" />
-    IGameObject GameObject { get; }
-
-    /// <summary>
-    /// Assign a value to the <see cref="IGameObject"/> field of this object.
-    /// </summary>
-    /// <param name="gameObject">New <see cref="IGameObject"/> to assign.</param>
-    /// <returns> 
-    /// <see cref="true"/>, if the value given assigned successfully assigned, <see cref="false"/> if not.
-    /// </returns>
-    bool Assign(IGameObject gameObject);
-
-    delegate void OnGameObjectAssignedDelegate(IAssignableGameObject sender);
-}

Engine.Core/Abstract/Assignable/IAssignableTransform.cs

@@ -1,26 +0,0 @@
-namespace Syntriax.Engine.Core.Abstract;
-
-/// <summary>
-/// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="ITransform"/> field.
-/// </summary>
-public interface IAssignableTransform : IAssignable
-{
-    /// <summary>
-    /// Event triggered when the <see cref="ITransform"/> value has has been assigned a new value.
-    /// </summary>
-    event OnTransformAssignedDelegate? OnTransformAssigned;
-
-    /// <inheritdoc cref="ITransform" />
-    ITransform Transform { get; }
-
-    /// <summary>
-    /// Assign a value to the <see cref="ITransform"/> field of this object.
-    /// </summary>
-    /// <param name="transform">New <see cref="ITransform"/> to assign.</param>
-    /// <returns> 
-    /// <see cref="true"/>, if the value given assigned successfully assigned, <see cref="false"/> if not.
-    /// </returns>
-    bool Assign(ITransform transform);
-
-    delegate void OnTransformAssignedDelegate(IAssignableTransform sender);
-}

Engine.Core/Abstract/Assignable/IHasBehaviourController.cs

@@ -3,12 +3,12 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="IBehaviourController"/> field.
 /// </summary>
-public interface IAssignableBehaviourController : IAssignable
+public interface IHasBehaviourController : IAssignable
 {
     /// <summary>
     /// Event triggered when the <see cref="IBehaviourController"/> value has has been assigned a new value.
     /// </summary>
-    event OnBehaviourControllerAssignedDelegate? OnBehaviourControllerAssigned;
+    event BehaviourControllerAssignedEventHandler? OnBehaviourControllerAssigned;
 
     /// <inheritdoc cref="IBehaviourController" />
     IBehaviourController BehaviourController { get; }
@@ -22,5 +22,5 @@ public interface IAssignableBehaviourController : IAssignable
     /// </returns>
     bool Assign(IBehaviourController behaviourController);
 
-    delegate void OnBehaviourControllerAssignedDelegate(IAssignableBehaviourController sender);
+    delegate void BehaviourControllerAssignedEventHandler(IHasBehaviourController sender);
 }

Engine.Core/Abstract/Assignable/IHasEntity.cs

@@ -3,12 +3,12 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="IEntity"/> field.
 /// </summary>
-public interface IAssignableEntity : IAssignable
+public interface IHasEntity : IAssignable
 {
     /// <summary>
     /// Event triggered when the <see cref="IEntity"/> value has has been assigned a new value.
     /// </summary>
-    event OnEntityAssignedDelegate? OnEntityAssigned;
+    event EntityAssignedEventHandler? OnEntityAssigned;
 
     /// <inheritdoc cref="IEntity" />
     IEntity Entity { get; }
@@ -22,5 +22,5 @@ public interface IAssignableEntity : IAssignable
     /// </returns>
     bool Assign(IEntity entity);
 
-    delegate void OnEntityAssignedDelegate(IAssignableEntity sender);
+    delegate void EntityAssignedEventHandler(IHasEntity sender);
 }

Engine.Core/Abstract/Assignable/IHasGameManager.cs

@@ -1,14 +1,14 @@
 namespace Syntriax.Engine.Core.Abstract;
 
 /// <summary>
-/// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="ITransform"/> field.
+/// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="ITransform2D"/> field.
 /// </summary>
-public interface IAssignableGameManager : IAssignable
+public interface IHasGameManager : IAssignable
 {
     /// <summary>
     /// Event triggered when the <see cref="IGameManager"/> value has has been assigned a new value.
     /// </summary>
-    event OnGameManagerAssignedDelegate? OnGameManagerAssigned;
+    event GameManagerAssignedEventHandler? OnGameManagerAssigned;
 
     /// <inheritdoc cref="IGameManager" />
     IGameManager GameManager { get; }
@@ -22,5 +22,5 @@ public interface IAssignableGameManager : IAssignable
     /// </returns>
     bool Assign(IGameManager gameManager);
 
-    delegate void OnGameManagerAssignedDelegate(IAssignableGameManager sender);
+    delegate void GameManagerAssignedEventHandler(IHasGameManager sender);
 }

Engine.Core/Abstract/Assignable/IHasHierarchyObject.cs

@@ -0,0 +1,26 @@
+namespace Syntriax.Engine.Core.Abstract;
+
+/// <summary>
+/// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="IHierarchyObject"/> field.
+/// </summary>
+public interface IHasHierarchyObject : IAssignable
+{
+    /// <summary>
+    /// Event triggered when the <see cref="IHierarchyObject"/> value has has been assigned a new value.
+    /// </summary>
+    event HierarchyObjectAssignedEventHandler? OnHierarchyObjectAssigned;
+
+    /// <inheritdoc cref="IHierarchyObject" />
+    IHierarchyObject HierarchyObject { get; }
+
+    /// <summary>
+    /// Assign a value to the <see cref="IHierarchyObject"/> field of this object.
+    /// </summary>
+    /// <param name="hierarchyObject">New <see cref="IHierarchyObject"/> to assign.</param>
+    /// <returns> 
+    /// <see cref="true"/>, if the value given assigned successfully assigned, <see cref="false"/> if not.
+    /// </returns>
+    bool Assign(IHierarchyObject hierarchyObject);
+
+    delegate void HierarchyObjectAssignedEventHandler(IHasHierarchyObject sender);
+}

Engine.Core/Abstract/Assignable/IHasStateEnable.cs

@@ -3,12 +3,12 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Indicates the object is an <see cref="IAssignable"/> with an assignable <see cref="IStateEnable"/> field.
 /// </summary>
-public interface IAssignableStateEnable : IAssignable
+public interface IHasStateEnable : IAssignable
 {
     /// <summary>
     /// Event triggered when the <see cref="IStateEnable"/> value has has been assigned a new value.
     /// </summary>
-    event OnStateEnableAssignedDelegate? OnStateEnableAssigned;
+    event StateEnableAssignedEventHandler? OnStateEnableAssigned;
 
     /// <inheritdoc cref="IStateEnable" />
     IStateEnable StateEnable { get; }
@@ -22,5 +22,5 @@ public interface IAssignableStateEnable : IAssignable
     /// </returns>
     bool Assign(IStateEnable stateEnable);
 
-    delegate void OnStateEnableAssignedDelegate(IAssignableStateEnable sender);
+    delegate void StateEnableAssignedEventHandler(IHasStateEnable sender);
 }

Engine.Core/Abstract/IActive.cs

@@ -0,0 +1,19 @@
+namespace Syntriax.Engine.Core.Abstract;
+
+/// <summary>
+/// Represents an entity which can be active or not.
+/// </summary>
+public interface IActive
+{
+    /// <summary>
+    /// Event triggered when the <see cref="IsActive"/> state of the <see cref="IActive"/> changes.
+    /// </summary>
+    event ActiveChangedEventHandler? OnActiveChanged;
+
+    /// <summary>
+    /// The value indicating whether the <see cref="IActive"/> is enabled.
+    /// </summary>
+    bool IsActive { get; }
+
+    delegate void ActiveChangedEventHandler(IActive sender, bool previousState);
+}

Engine.Core/Abstract/IBehaviour.cs

@@ -3,22 +3,17 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Represents a behaviour that any object in the game might use to interact with itself or other objects. 
 /// </summary>
-public interface IBehaviour : IEntity, IAssignableBehaviourController, IAssignableStateEnable, IInitialize
+public interface IBehaviour : IEntity, IActive, IHasBehaviourController, IHasStateEnable
 {
     /// <summary>
     /// Event triggered when the priority of the <see cref="IBehaviour"/> changes.
     /// </summary>
-    event OnPriorityChangedDelegate? OnPriorityChanged;
+    event PriorityChangedEventHandler? OnPriorityChanged;
 
     /// <summary>
     /// The priority of the <see cref="IBehaviour"/>.
     /// </summary>
     int Priority { get; set; }
 
-    /// <summary>
-    /// The value indicating whether the <see cref="IBehaviour"/> is active.
-    /// </summary>
-    bool IsActive { get; }
-
-    delegate void OnPriorityChangedDelegate(IBehaviour sender, int previousPriority);
+    delegate void PriorityChangedEventHandler(IBehaviour sender, int previousPriority);
 }

Engine.Core/Abstract/IBehaviour2D.cs

@@ -0,0 +1,6 @@
+namespace Syntriax.Engine.Core.Abstract;
+
+public interface IBehaviour2D : IBehaviour
+{
+    ITransform2D Transform { get; }
+}

Engine.Core/Abstract/IBehaviourCollector.cs

@@ -0,0 +1,35 @@
+using System.Collections.Generic;
+
+namespace Syntriax.Engine.Core.Abstract;
+
+/// <summary>
+/// Represents a collector for the class type of <typeparamref name="T"/>.
+/// Provides mechanisms for tracking additions and removals, and notifies subscribers when such events occur on the assigned <see cref="IGameManager"/>.
+/// </summary>
+/// <typeparam name="T">The type of objects tracked by the collector.</typeparam>
+public interface IBehaviourCollector<T> : IHasGameManager, IEnumerable<T> where T : class
+{
+    /// <summary>
+    /// Event triggered when an object of type <typeparamref name="T"/> is added to the collector.
+    /// </summary>
+    event CollectedEventHandler? OnCollected;
+
+    /// <summary>
+    /// Event triggered when an object of type <typeparamref name="T"/> is removed from the collector.
+    /// </summary>
+    event RemovedEventHandler? OnRemoved;
+
+    /// <summary>
+    /// Delegate for handling the <see cref="OnCollected"/> event.
+    /// </summary>
+    /// <param name="sender">The instance of the <see cref="IBehaviourCollector{T}"/> that triggered the event.</param>
+    /// <param name="behaviourCollected">The object of type <typeparamref name="T"/> that was added to the collector.</param>
+    delegate void CollectedEventHandler(IBehaviourCollector<T> sender, T behaviourCollected);
+
+    /// <summary>
+    /// Delegate for handling the <see cref="OnRemoved"/> event.
+    /// </summary>
+    /// <param name="sender">The instance of the <see cref="IBehaviourCollector{T}"/> that triggered the event.</param>
+    /// <param name="behaviourRemoved">The object of type <typeparamref name="T"/> that was removed from the collector.</param>
+    delegate void RemovedEventHandler(IBehaviourCollector<T> sender, T behaviourRemoved);
+}

Engine.Core/Abstract/IBehaviourController.cs

@@ -1,37 +1,36 @@
 using System.Collections.Generic;
-using System.Diagnostics.CodeAnalysis;
 
 namespace Syntriax.Engine.Core.Abstract;
 
 /// <summary>
-/// Represents a controller for managing <see cref="IBehaviour"/>s and notify them accordingly about the engine's updates. Connected to an <see cref="IGameObject"/>.
+/// Represents a controller for managing <see cref="IBehaviour"/>s and notify them accordingly about the engine's updates. Connected to an <see cref="IHierarchyObject"/>.
 /// </summary>
-public interface IBehaviourController : IAssignableGameObject, IEnumerable<IBehaviour>
+public interface IBehaviourController : IInitializable, IHasHierarchyObject, IEnumerable<IBehaviour>
 {
     /// <summary>
     /// Event triggered before the update of <see cref="IBehaviour"/>s.
     /// </summary>
-    event OnPreUpdateDelegate? OnPreUpdate;
+    event PreUpdateEventHandler? OnPreUpdate;
 
     /// <summary>
     /// Event triggered during the update of <see cref="IBehaviour"/>s.
     /// </summary>
-    event OnUpdateDelegate? OnUpdate;
+    event UpdateEventHandler? OnUpdate;
 
     /// <summary>
     /// Event triggered before the drawing phase.
     /// </summary>
-    event OnPreDrawDelegate? OnPreDraw;
+    event PreDrawEventHandler? OnPreDraw;
 
     /// <summary>
     /// Event triggered when a <see cref="IBehaviour"/> is added to the <see cref="IBehaviourController"/>.
     /// </summary>
-    event OnBehaviourAddedDelegate? OnBehaviourAdded;
+    event BehaviourAddedEventHandler? OnBehaviourAdded;
 
     /// <summary>
     /// Event triggered when a <see cref="IBehaviour"/> is removed from the <see cref="IBehaviourController"/>.
     /// </summary>
-    event OnBehaviourRemovedDelegate? OnBehaviourRemoved;
+    event BehaviourRemovedEventHandler? OnBehaviourRemoved;
 
     /// <summary>
     /// Adds a <see cref="IBehaviour"/> to the <see cref="IBehaviourController"/>.
@@ -56,14 +55,6 @@ public interface IBehaviourController : IAssignableGameObject, IEnumerable<IBeha
     /// <returns>The <see cref="IBehaviour"/> of the specified type if found; otherwise, <see cref="null"/>.</returns>
     T? GetBehaviour<T>();
 
-    /// <summary>
-    /// Tries to get a <see cref="IBehaviour"/> of the specified type.
-    /// </summary>
-    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get.</typeparam>
-    /// <param name="behaviour">When this method returns, contains the <see cref="IBehaviour"/> of the specified type, if found; otherwise, see.</param>
-    /// <returns><see cref="true"/> if a <see cref="IBehaviour"/> of the specified type was found; otherwise, <see cref="false"/>.</returns>
-    bool TryGetBehaviour<T>([NotNullWhen(returnValue: true)] out T? behaviour);
-
     /// <summary>
     /// Gets all <see cref="IBehaviour"/>s of the specified type.
     /// </summary>
@@ -75,8 +66,8 @@ public interface IBehaviourController : IAssignableGameObject, IEnumerable<IBeha
     /// Gets all <see cref="IBehaviour"/>s of the specified type and stores them in the provided list.
     /// </summary>
     /// <typeparam name="T">The type of <see cref="IBehaviour"/>s to get.</typeparam>
-    /// <param name="behaviours">The list to store the <see cref="IBehaviour"/>s.</param>
-    void GetBehaviours<T>(List<T> behaviours);
+    /// <param name="results">The list to store the <see cref="IBehaviour"/>s.</param>
+    void GetBehaviours<T>(IList<T> results);
 
     /// <summary>
     /// Removes <see cref="IBehaviour"/>s of the specified type from the <see cref="IBehaviourController"/>.
@@ -102,10 +93,10 @@ public interface IBehaviourController : IAssignableGameObject, IEnumerable<IBeha
     /// </summary>
     void UpdatePreDraw();
 
-    delegate void OnPreUpdateDelegate(IBehaviourController sender);
-    delegate void OnUpdateDelegate(IBehaviourController sender);
-    delegate void OnPreDrawDelegate(IBehaviourController sender);
-    delegate void OnBehaviourAddedDelegate(IBehaviourController sender, IBehaviour behaviourAdded);
-    delegate void OnBehaviourRemovedDelegate(IBehaviourController sender, IBehaviour behaviourRemoved);
+    delegate void PreUpdateEventHandler(IBehaviourController sender);
+    delegate void UpdateEventHandler(IBehaviourController sender);
+    delegate void PreDrawEventHandler(IBehaviourController sender);
+    delegate void BehaviourAddedEventHandler(IBehaviourController sender, IBehaviour behaviourAdded);
+    delegate void BehaviourRemovedEventHandler(IBehaviourController sender, IBehaviour behaviourRemoved);
 
 }

Engine.Core/Abstract/ICamera2D.cs

@@ -3,7 +3,7 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Represents a 2D camera in the engine.
 /// </summary>
-public interface ICamera2D : IBehaviour, IAssignableTransform
+public interface ICamera2D : IBehaviour2D
 {
     /// <summary>
     /// The zoom level of the camera.

Engine.Core/Abstract/ICoroutineYield.cs

@@ -0,0 +1,6 @@
+namespace Syntriax.Engine.Core.Abstract;
+
+public interface ICoroutineYield
+{
+    bool Yield();
+}

Engine.Core/Abstract/IEntity.cs

@@ -3,18 +3,18 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Represents a basic entity in the engine.
 /// </summary>
-public interface IEntity : IInitialize, IAssignableStateEnable
+public interface IEntity : IInitializable, IHasStateEnable
 {
     /// <summary>
     /// Event triggered when the <see cref="Id"/> of the <see cref="IEntity"/> changes.
     /// The string action parameter is the previous <see cref="Id"/> of the <see cref="IEntity"/>. 
     /// </summary>
-    event OnIdChangedDelegate? OnIdChanged;
+    event IdChangedEventHandler? OnIdChanged;
 
     /// <summary>
     /// The ID of the <see cref="IEntity"/>.
     /// </summary>
     string Id { get; set; }
 
-    delegate void OnIdChangedDelegate(IEntity sender, string previousId);
+    delegate void IdChangedEventHandler(IEntity sender, string previousId);
 }

Engine.Core/Abstract/IGameManager.cs

@@ -3,57 +3,79 @@ using System.Collections.Generic;
 namespace Syntriax.Engine.Core.Abstract;
 
 /// <summary>
-/// Represents a game world responsible for managing <see cref="IGameObject"/>s.
+/// Represents a game world responsible for managing <see cref="IHierarchyObject"/>s.
 /// </summary>
-public interface IGameManager : IEntity, IEnumerable<IGameObject>
+public interface IGameManager : IEntity, IEnumerable<IHierarchyObject>
 {
     /// <summary>
-    /// Event triggered when a <see cref="IGameObject"/> is registered to the <see cref="IGameManager"/>.
+    /// Event triggered when <see cref="Update(EngineTime)"/> is about to be called called on the <see cref="IGameManager"/>.
     /// </summary>
-    event OnGameObjectRegisteredDelegate? OnGameObjectRegistered;
+    event UpdateEventHandler? OnPreUpdate;
 
     /// <summary>
-    /// Event triggered when a <see cref="IGameObject"/> is unregistered from the <see cref="IGameManager"/>.
+    /// Event triggered when <see cref="Update(EngineTime)"/> is called on the <see cref="IGameManager"/>.
     /// </summary>
-    event OnGameObjectUnRegisteredDelegate? OnGameObjectUnRegistered;
+    event UpdateEventHandler? OnUpdate;
 
     /// <summary>
-    /// Gets a read-only list of <see cref="IGameObject"/>s managed by the <see cref="IGameManager"/>.
+    /// Event triggered when <see cref="PreDraw"/> is called on the <see cref="IGameManager"/>.
     /// </summary>
-    IReadOnlyList<IGameObject> GameObjects { get; }
+    event PreDrawEventHandler? OnPreDraw;
 
     /// <summary>
-    /// Registers a <see cref="IGameObject"/> to the <see cref="IGameManager"/>.
+    /// Event triggered when a <see cref="IHierarchyObject"/> is registered to the <see cref="IGameManager"/>.
     /// </summary>
-    /// <param name="gameObject">The <see cref="IGameObject"/> to register.</param>
-    void RegisterGameObject(IGameObject gameObject);
+    event HierarchyObjectRegisteredEventHandler? OnHierarchyObjectRegistered;
 
     /// <summary>
-    /// Instantiates a <see cref="IGameObject"/> of type T with the given arguments and registers it to the <see cref="IGameManager"/>.
+    /// Event triggered when a <see cref="IHierarchyObject"/> is unregistered from the <see cref="IGameManager"/>.
     /// </summary>
-    /// <typeparam name="T">The type of <see cref="IGameObject"/> to instantiate.</typeparam>
-    /// <param name="args">Constructor parameters for the given type of <see cref="IGameObject"/>.</param>
-    /// <returns>The instantiated <see cref="IGameObject"/>.</returns>
-    T InstantiateGameObject<T>(params object?[]? args) where T : class, IGameObject;
+    event HierarchyObjectUnRegisteredEventHandler? OnHierarchyObjectUnRegistered;
 
     /// <summary>
-    /// Removes a <see cref="IGameObject"/> from the <see cref="IGameManager"/>.
+    /// Contains time data related to this <see cref="IGameManager"/>.
     /// </summary>
-    /// <param name="gameObject">The <see cref="IGameObject"/> to remove.</param>
-    /// <returns>The removed <see cref="IGameObject"/>.</returns>
-    IGameObject RemoveGameObject(IGameObject gameObject);
+    EngineTime Time { get; }
 
     /// <summary>
-    /// Updates the <see cref="IGameManager"/> with the given engine time data.
+    /// Gets a read-only list of <see cref="IHierarchyObject"/>s managed by the <see cref="IGameManager"/>.
     /// </summary>
-    /// <param name="time">The engine time.</param>
-    void Update(EngineTime time);
+    IReadOnlyList<IHierarchyObject> HierarchyObjects { get; }
+
+    /// <summary>
+    /// Registers an <see cref="IHierarchyObject"/> to the <see cref="IGameManager"/>.
+    /// </summary>
+    /// <param name="hierarchyObject">The <see cref="IHierarchyObject"/> to register.</param>
+    void Register(IHierarchyObject hierarchyObject);
+
+    /// <summary>
+    /// Instantiates a <see cref="IHierarchyObject"/> of type T with the given arguments and registers it to the <see cref="IGameManager"/>.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IHierarchyObject"/> to instantiate.</typeparam>
+    /// <param name="args">Constructor parameters for the given type of <see cref="IHierarchyObject"/>.</param>
+    /// <returns>The instantiated <see cref="IHierarchyObject"/>.</returns>
+    T InstantiateHierarchyObject<T>(params object?[]? args) where T : class, IHierarchyObject;
+
+    /// <summary>
+    /// Removes an <see cref="IHierarchyObject"/> from the <see cref="IGameManager"/>.
+    /// </summary>
+    /// <param name="hierarchyObject">The <see cref="IHierarchyObject"/> to remove.</param>
+    void Remove(IHierarchyObject hierarchyObject);
+
+    /// <summary>
+    /// Updates the <see cref="IGameManager"/> with the given delta time.
+    /// </summary>
+    /// <param name="engineTime">Delta time.</param>
+    void Update(EngineTime engineTime);
 
     /// <summary>
     /// Performs operations that should be done before the draw calls.
     /// </summary>
     void PreDraw();
 
-    delegate void OnGameObjectRegisteredDelegate(IGameManager sender, IGameObject gameObjectRegistered);
-    delegate void OnGameObjectUnRegisteredDelegate(IGameManager sender, IGameObject gameObjectUnregistered);
+    delegate void UpdateEventHandler(IGameManager sender, EngineTime engineTime);
+    delegate void PreDrawEventHandler(IGameManager sender);
+
+    delegate void HierarchyObjectRegisteredEventHandler(IGameManager sender, IHierarchyObject hierarchyObjectRegistered);
+    delegate void HierarchyObjectUnRegisteredEventHandler(IGameManager sender, IHierarchyObject hierarchyObjectUnregistered);
 }

Engine.Core/Abstract/IGameObject.cs

@@ -1,19 +0,0 @@
-namespace Syntriax.Engine.Core.Abstract;
-
-/// <summary>
-/// Represents a game object with various properties and functionalities.
-/// </summary>
-public interface IGameObject : IEntity, IAssignableGameManager, IAssignableTransform, IAssignableBehaviourController, INameable, IInitialize
-{
-    /// <summary>
-    /// Event triggered when the <see cref="Update"/> method is called.
-    /// </summary>
-    event OnUpdatedDelegate? OnUpdated;
-
-    /// <summary>
-    /// Updates the game object.
-    /// </summary>
-    void Update();
-
-    delegate void OnUpdatedDelegate(IGameObject sender);
-}

Engine.Core/Abstract/IHierarchyObject.cs

@@ -0,0 +1,131 @@
+using System.Collections.Generic;
+
+namespace Syntriax.Engine.Core.Abstract;
+
+/// <summary>
+/// Represents an <see cref="IEntity"/> that can enter and exit a hierarchy within the <see cref="IGameManager"/> system.
+/// This interface allows for tracking the object's presence in the hierarchy and provides events 
+/// for notifying when the see enters or exits the hierarchy.
+/// </summary>
+public interface IHierarchyObject : IEntity, IActive, INameable, IHasBehaviourController, IEnumerable<IHierarchyObject>
+{
+    /// <summary>
+    /// Event triggered when the <see cref="IHierarchyObject"/> enters the hierarchy.
+    /// </summary>
+    event EnteredHierarchyEventHandler? OnEnteredHierarchy;
+
+    /// <summary>
+    /// Event triggered when the <see cref="IHierarchyObject"/> exits the hierarchy.
+    /// </summary>
+    event ExitedHierarchyEventHandler? OnExitedHierarchy;
+
+    /// <summary>
+    /// Event triggered when the <see cref="Parent"/> of the <see cref="IHierarchyObject"/> changes. The second parameter is the old <see cref="IHierarchyObject"/>.
+    /// </summary>
+    event ParentChangedEventHandler? OnParentChanged;
+
+    /// <summary>
+    /// Event triggered when a new <see cref="IHierarchyObject"/> is added to the <see cref="Children"/>.
+    /// </summary>
+    event ChildrenAddedEventHandler? OnChildrenAdded;
+
+    /// <summary>
+    /// Event triggered when an <see cref="IHierarchyObject"/> is removed from the <see cref="Children"/>.
+    /// </summary>
+    event ChildrenRemovedEventHandler? OnChildrenRemoved;
+
+    /// <summary>
+    /// Gets the <see cref="IGameManager"/> this <see cref="IHierarchyObject"/> is connected to, if any.
+    /// </summary>
+    IGameManager GameManager { get; }
+
+    /// <summary>
+    /// Indicates whether the <see cref="IHierarchyObject"/> is currently in the hierarchy.
+    /// </summary>
+    bool IsInHierarchy { get; }
+
+    /// <summary>
+    /// The parent <see cref="IHierarchyObject"/> of the <see cref="IHierarchyObject"/>.
+    /// </summary>
+    IHierarchyObject? Parent { get; }
+
+    /// <summary>
+    /// The <see cref="IHierarchyObject"/>s that have this <see cref="IHierarchyObject"/> as their <see cref="Parent"/>.
+    /// </summary>
+    IReadOnlyList<IHierarchyObject> Children { get; }
+
+    /// <summary>
+    /// Internal method to handle entering the hierarchy.
+    /// This should be called by the system to properly manage hierarchy states.
+    /// </summary>
+    /// <param name="gameManager">The <see cref="IGameManager"/> that is managing this hierarchy.</param>
+    /// <returns>
+    /// <see cref="true"/> if the <see cref="IHierarchyObject"/> successfully entered the hierarchy; 
+    /// <see cref="false"/> if it failed to do so.
+    /// </returns>
+    internal bool EnterHierarchy(IGameManager gameManager);
+
+    /// <summary>
+    /// Internal method to handle exiting the hierarchy.
+    /// This should be called by the system to properly manage hierarchy states.
+    /// </summary>
+    /// <returns>
+    /// <see cref="true"/> if the <see cref="IHierarchyObject"/> successfully exited the hierarchy; 
+    /// <see cref="false"/> if it failed to do so.
+    /// </returns>
+    internal bool ExitHierarchy();
+
+    /// <summary>
+    /// Sets the parent <see cref="IHierarchyObject"/> of this <see cref="IHierarchyObject"/>.
+    /// </summary>
+    /// <param name="hierarchyObject">The parent <see cref="IHierarchyObject"/> to set.</param>
+    void SetParent(IHierarchyObject? hierarchyObject);
+
+    /// <summary>
+    /// Adds a child <see cref="IHierarchyObject"/> to this <see cref="IHierarchyObject"/>.
+    /// </summary>
+    /// <param name="hierarchyObject">The child <see cref="IHierarchyObject"/> to add.</param>
+    void AddChild(IHierarchyObject hierarchyObject);
+
+    /// <summary>
+    /// Removes a child <see cref="IHierarchyObject"/> from this <see cref="IHierarchyObject"/>.
+    /// </summary>
+    /// <param name="hierarchyObject">The child <see cref="IHierarchyObject"/> to remove.</param>
+    void RemoveChild(IHierarchyObject hierarchyObject);
+
+    /// <summary>
+    /// EventHandler delegate for the event triggered when the <see cref="IHierarchyObject"/> enters the hierarchy of a <see cref="IGameManager">.
+    /// </summary>
+    /// <param name="sender">The <see cref="IHierarchyObject"/> that entered the hierarchy.</param>
+    /// <param name="gameManager">The <see cref="IGameManager"/> that the <see cref="IHierarchyObject"/> has entered it's hierarchy.</param>
+    delegate void EnteredHierarchyEventHandler(IHierarchyObject sender, IGameManager gameManager);
+
+    /// <summary>
+    /// EventHandler delegate for the event triggered when the <see cref="IHierarchyObject"/> exits the hierarchy of a <see cref="IGameManager">.
+    /// </summary>
+    /// <param name="sender">The <see cref="IHierarchyObject"/> that exited the hierarchy.</param>
+    /// <param name="gameManager">The <see cref="IGameManager"/> that the <see cref="IHierarchyObject"/> has exited it's hierarchy.</param>
+    delegate void ExitedHierarchyEventHandler(IHierarchyObject sender, IGameManager gameManager);
+
+    /// <summary>
+    /// Delegate for the event triggered when the <see cref="IHierarchyObject"/>'s parent changes.
+    /// </summary>
+    /// <param name="sender">The <see cref="IHierarchyObject"/> that the parent has changed.</param>
+    /// <param name="previousParent">The previous <see cref="IHierarchyObject"/> the sender was a child of.</param>
+    /// <param name="newParent">The new and current <see cref="IHierarchyObject"/> the sender is a child of.</param>
+    delegate void ParentChangedEventHandler(IHierarchyObject sender, IHierarchyObject? previousParent, IHierarchyObject? newParent);
+
+    /// <summary>
+    /// Delegate for the event triggered when a new <see cref="IHierarchyObject"/> added as a child.
+    /// </summary>
+    /// <param name="sender">The parent <see cref="IHierarchyObject"/> this event is being called from.</param>
+    /// <param name="childrenAdded">The <see cref="IHierarchyObject"/> that got removed as a children of the sender <see cref="IHierarchyObject"/>.</param>
+    delegate void ChildrenAddedEventHandler(IHierarchyObject sender, IHierarchyObject childrenAdded);
+
+    /// <summary>
+    /// Delegate for the event triggered when a new <see cref="IHierarchyObject"/> removed from being a child.
+    /// </summary>
+    /// <param name="sender">The parent <see cref="IHierarchyObject"/> this event is being called from.</param>
+    /// <param name="childrenAdded">The <see cref="IHierarchyObject"/> that got removed as a children of the sender <see cref="IHierarchyObject"/>.</param>
+    delegate void ChildrenRemovedEventHandler(IHierarchyObject sender, IHierarchyObject childrenRemoved);
+}

Engine.Core/Abstract/IInitializable.cs

@@ -3,22 +3,22 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Represents an entity that can be initialized and finalized. This information is useful for objects we know that are not in use and can be either recycled or dropped for garbage collection.
 /// </summary>
-public interface IInitialize
+public interface IInitializable
 {
     /// <summary>
     /// Event triggered when the <see cref="Initialize"/> method is called successfully.
     /// </summary>
-    event OnInitializedDelegate? OnInitialized;
+    event InitializedEventHandler? OnInitialized;
 
     /// <summary>
-    /// Event triggered when the <see cref="Finalize"/> method is called successfully.
+    /// Event triggered when the <see cref="IInitializable"/> method is called successfully.
     /// </summary>
-    event OnFinalizedDelegate? OnFinalized;
+    event FinalizedEventHandler? OnFinalized;
 
     /// <summary>
     /// The value indicating whether the entity has been initialized.
     /// </summary>
-    bool Initialized { get; }
+    bool IsInitialized { get; }
 
     /// <summary>
     /// Initializes the entity.
@@ -32,6 +32,6 @@ public interface IInitialize
     /// <returns><see cref="true"/> if finalization is successful, otherwise <see cref="false"/>.</returns>
     bool Finalize();
 
-    delegate void OnInitializedDelegate(IInitialize sender);
-    delegate void OnFinalizedDelegate(IInitialize sender);
+    delegate void InitializedEventHandler(IInitializable sender);
+    delegate void FinalizedEventHandler(IInitializable sender);
 }

Engine.Core/Abstract/INameable.cs

@@ -8,12 +8,12 @@ public interface INameable
     /// <summary>
     /// Event triggered when the name of the entity changes.
     /// </summary>
-    event OnNameChangedDelegate? OnNameChanged;
+    event NameChangedEventHandler? OnNameChanged;
 
     /// <summary>
     /// The name of the entity.
     /// </summary>
     string Name { get; set; }
 
-    delegate void OnNameChangedDelegate(INameable sender, string previousName);
+    delegate void NameChangedEventHandler(INameable sender, string previousName);
 }

Engine.Core/Abstract/IStateEnable.cs

@@ -3,17 +3,17 @@ namespace Syntriax.Engine.Core.Abstract;
 /// <summary>
 /// Represents an entity with an enable state that can be toggled.
 /// </summary>
-public interface IStateEnable : IAssignableEntity
+public interface IStateEnable : IHasEntity
 {
     /// <summary>
     /// Event triggered when the <see cref="Enabled"/> state of the <see cref="IStateEnable"/> changes.
     /// </summary>
-    event OnNameChangedDelegate? OnEnabledChanged;
+    event EnabledChangedEventHandler? OnEnabledChanged;
 
     /// <summary>
     /// The value indicating whether the <see cref="IStateEnable"/> is enabled.
     /// </summary>
     bool Enabled { get; set; }
 
-    delegate void OnNameChangedDelegate(IStateEnable sender, bool previousState);
+    delegate void EnabledChangedEventHandler(IStateEnable sender, bool previousState);
 }

Engine.Core/Abstract/ITransform.cs

@@ -1,105 +0,0 @@
-using System;
-using System.Collections.Generic;
-
-namespace Syntriax.Engine.Core.Abstract;
-
-/// <summary>
-/// Represents the transformation properties of an object such as position, scale, and rotation.
-/// </summary>
-public interface ITransform : IAssignableGameObject, IEnumerable<ITransform>
-{
-    /// <summary>
-    /// Event triggered when the <see cref="Position"/> of the <see cref="ITransform"/> changes.
-    /// </summary>
-    event OnPositionChangedDelegate? OnPositionChanged;
-
-    /// <summary>
-    /// Event triggered when the <see cref="Scale"/> of the <see cref="ITransform"/> changes.
-    /// </summary>
-    event OnScaleChangedDelegate? OnScaleChanged;
-
-    /// <summary>
-    /// Event triggered when the <see cref="Rotation"/> of the <see cref="ITransform"/> changes.
-    /// </summary>
-    event OnRotationChangedDelegate? OnRotationChanged;
-
-    /// <summary>
-    /// Event triggered when the <see cref="Parent"/> of the <see cref="ITransform"/> changes. The second parameter is the old <see cref="ITransform"/>.
-    /// </summary>
-    event OnParentChangedDelegate? OnParentChanged;
-
-    /// <summary>
-    /// Event triggered when a new <see cref="ITransform"/> is added to the <see cref="Children"/>.
-    /// </summary>
-    event OnChildrenAddedDelegate? OnChildrenAdded;
-
-    /// <summary>
-    /// Event triggered when an <see cref="ITransform"/> is removed from the <see cref="Children"/>.
-    /// </summary>
-    event OnChildrenRemovedDelegate? OnChildrenRemoved;
-
-    /// <summary>
-    /// The world position of the <see cref="ITransform"/> in 2D space.
-    /// </summary>
-    Vector2D Position { get; set; }
-
-    /// <summary>
-    /// The world scale of the <see cref="ITransform"/>.
-    /// </summary>
-    Vector2D Scale { get; set; }
-
-    /// <summary>
-    /// The world rotation of the <see cref="ITransform"/> in degrees.
-    /// </summary>
-    float Rotation { get; set; }
-
-    /// <summary>
-    /// The local position of the <see cref="ITransform"/> in 2D space.
-    /// </summary>
-    Vector2D LocalPosition { get; set; }
-
-    /// <summary>
-    /// The local scale of the <see cref="ITransform"/>.
-    /// </summary>
-    Vector2D LocalScale { get; set; }
-
-    /// <summary>
-    /// The local rotation of the <see cref="ITransform"/> in degrees.
-    /// </summary>
-    float LocalRotation { get; set; }
-
-    /// <summary>
-    /// The parent <see cref="ITransform"/> of the <see cref="ITransform"/>.
-    /// </summary>
-    ITransform? Parent { get; }
-
-    /// <summary>
-    /// The <see cref="ITransform"/>s that have this <see cref="ITransform"/> as their <see cref="Parent"/>.
-    /// </summary>
-    IReadOnlyList<ITransform> Children { get; }
-
-    /// <summary>
-    /// Sets the parent <see cref="ITransform"/> of this <see cref="ITransform"/>.
-    /// </summary>
-    /// <param name="transform">The parent <see cref="ITransform"/> to set.</param>
-    void SetParent(ITransform? transform);
-
-    /// <summary>
-    /// Adds a child <see cref="ITransform"/> to this <see cref="ITransform"/>.
-    /// </summary>
-    /// <param name="transform">The child <see cref="ITransform"/> to add.</param>
-    void AddChild(ITransform transform);
-
-    /// <summary>
-    /// Removes a child <see cref="ITransform"/> from this <see cref="ITransform"/>.
-    /// </summary>
-    /// <param name="transform">The child <see cref="ITransform"/> to remove.</param>
-    void RemoveChild(ITransform transform);
-
-    delegate void OnPositionChangedDelegate(ITransform sender);
-    delegate void OnScaleChangedDelegate(ITransform sender);
-    delegate void OnRotationChangedDelegate(ITransform sender);
-    delegate void OnParentChangedDelegate(ITransform sender, ITransform? newParent);
-    delegate void OnChildrenAddedDelegate(ITransform sender, ITransform childrenAdded);
-    delegate void OnChildrenRemovedDelegate(ITransform sender, ITransform childrenRemoved);
-}

Engine.Core/Abstract/ITransform2D.cs

@@ -0,0 +1,73 @@
+namespace Syntriax.Engine.Core.Abstract;
+
+/// <summary>
+/// Represents the transformation properties of an object such as position, scale, and rotation in 2D space.
+/// </summary>
+public interface ITransform2D : IBehaviour
+{
+    /// <summary>
+    /// Event triggered when the <see cref="Position"/> of the <see cref="ITransform2D"/> changes.
+    /// </summary>
+    event PositionChangedEventHandler? OnPositionChanged;
+
+    /// <summary>
+    /// Event triggered when the <see cref="Scale"/> of the <see cref="ITransform2D"/> changes.
+    /// </summary>
+    event ScaleChangedEventHandler? OnScaleChanged;
+
+    /// <summary>
+    /// Event triggered when the <see cref="Rotation"/> of the <see cref="ITransform"/> changes.
+    /// </summary>
+    event RotationChangedEventHandler? OnRotationChanged;
+
+    /// <summary>
+    /// The world position of the <see cref="ITransform2D"/> in 2D space.
+    /// </summary>
+    Vector2D Position { get; set; }
+
+    /// <summary>
+    /// The world scale of the <see cref="ITransform2D"/>.
+    /// </summary>
+    Vector2D Scale { get; set; }
+
+    /// <summary>
+    /// The world rotation of the <see cref="ITransform2D"/> in degrees.
+    /// </summary>
+    float Rotation { get; set; }
+
+    /// <summary>
+    /// The local position of the <see cref="ITransform2D"/> in 2D space.
+    /// </summary>
+    Vector2D LocalPosition { get; set; }
+
+    /// <summary>
+    /// The local scale of the <see cref="ITransform2D"/>.
+    /// </summary>
+    Vector2D LocalScale { get; set; }
+
+    /// <summary>
+    /// The local rotation of the <see cref="ITransform2D"/> in degrees.
+    /// </summary>
+    float LocalRotation { get; set; }
+
+    /// <summary>
+    /// Delegate for the event triggered when the <see cref="ITransform2D"/>'s rotation changes.
+    /// </summary>
+    /// <param name="sender">The <see cref="ITransform2D"/> that the parent has changed.</param>
+    /// <param name="previousPosition">The previous <see cref="Position"/> of the <see cref="ITransform2D"/>.</param>
+    delegate void PositionChangedEventHandler(ITransform2D sender, Vector2D previousPosition);
+
+    /// <summary>
+    /// Delegate for the event triggered when the <see cref="ITransform2D"/>'s rotation changes.
+    /// </summary>
+    /// <param name="sender">The <see cref="ITransform2D"/> that the parent has changed.</param>
+    /// <param name="previousScale">The previous <see cref="Scale"/> of the <see cref="ITransform2D"/>.</param>
+    delegate void ScaleChangedEventHandler(ITransform2D sender, Vector2D previousScale);
+
+    /// <summary>
+    /// Delegate for the event triggered when the <see cref="ITransform2D"/>'s rotation changes.
+    /// </summary>
+    /// <param name="sender">The <see cref="ITransform2D"/> that the parent has changed.</param>
+    /// <param name="previousRotation">The previous <see cref="Rotation"/> of the <see cref="ITransform2D"/>.</param>
+    delegate void RotationChangedEventHandler(ITransform2D sender, float previousRotation);
+}

Engine.Core/ActiveBehaviourCollector.cs

@@ -0,0 +1,127 @@
+using System;
+using System.Collections;
+using System.Collections.Generic;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public class ActiveBehaviourCollector<T> : IBehaviourCollector<T> where T : class, IBehaviour
+{
+    public event IAssignable.UnassignEventHandler? OnUnassigned = null;
+    public event IHasGameManager.GameManagerAssignedEventHandler? OnGameManagerAssigned = null;
+
+    public event IBehaviourCollector<T>.CollectedEventHandler? OnCollected = null;
+    public event IBehaviourCollector<T>.RemovedEventHandler? OnRemoved = null;
+
+    private readonly List<T> monitoringBehaviours = new(32);
+    protected readonly List<T> activeBehaviours = new(32);
+    protected readonly Dictionary<IActive, T> monitoringActiveToBehaviour = new(32);
+
+    public IReadOnlyList<T> Behaviours => activeBehaviours;
+    public IGameManager GameManager { get; private set; } = null!;
+
+    public T this[Index index] => activeBehaviours[index];
+
+    public ActiveBehaviourCollector() { }
+    public ActiveBehaviourCollector(IGameManager gameManager) => Assign(gameManager);
+
+    private void OnHierarchyObjectRegistered(IGameManager manager, IHierarchyObject hierarchyObject)
+    {
+        hierarchyObject.BehaviourController.OnBehaviourAdded += OnBehaviourAdded;
+        hierarchyObject.BehaviourController.OnBehaviourRemoved += OnBehaviourRemoved;
+
+        foreach (IBehaviour item in hierarchyObject.BehaviourController)
+            OnBehaviourAdded(hierarchyObject.BehaviourController, item);
+    }
+
+    private void OnHierarchyObjectUnregistered(IGameManager manager, IHierarchyObject hierarchyObject)
+    {
+        hierarchyObject.BehaviourController.OnBehaviourAdded -= OnBehaviourAdded;
+        hierarchyObject.BehaviourController.OnBehaviourRemoved -= OnBehaviourRemoved;
+
+        foreach (IBehaviour item in hierarchyObject.BehaviourController)
+            OnBehaviourRemoved(hierarchyObject.BehaviourController, item);
+    }
+
+    protected virtual void OnBehaviourAdd(IBehaviour behaviour) { }
+    private void OnBehaviourAdded(IBehaviourController controller, IBehaviour behaviour)
+    {
+        if (behaviour is not T tBehaviour)
+            return;
+
+        monitoringBehaviours.Add(tBehaviour);
+        monitoringActiveToBehaviour.Add(tBehaviour, tBehaviour);
+        tBehaviour.OnActiveChanged += OnBehaviourStateChanged;
+        OnBehaviourStateChanged(tBehaviour, !tBehaviour.IsActive);
+    }
+
+    private void OnBehaviourStateChanged(IActive sender, bool previousState)
+    {
+        T behaviour = monitoringActiveToBehaviour[sender];
+        if (sender.IsActive)
+        {
+            activeBehaviours.Add(behaviour);
+            OnBehaviourAdd(behaviour);
+            OnCollected?.Invoke(this, behaviour);
+        }
+        else if (activeBehaviours.Remove(behaviour))
+        {
+            OnBehaviourRemove(behaviour);
+            OnRemoved?.Invoke(this, behaviour);
+        }
+    }
+
+    protected virtual void OnBehaviourRemove(IBehaviour behaviour) { }
+    private void OnBehaviourRemoved(IBehaviourController controller, IBehaviour behaviour)
+    {
+        if (behaviour is not T tBehaviour)
+            return;
+
+        if (!monitoringBehaviours.Remove(tBehaviour) || !monitoringActiveToBehaviour.Remove(tBehaviour))
+            return;
+
+        tBehaviour.OnActiveChanged -= OnBehaviourStateChanged;
+        if (activeBehaviours.Remove(tBehaviour))
+        {
+            OnBehaviourRemove(tBehaviour);
+            OnRemoved?.Invoke(this, tBehaviour);
+        }
+    }
+
+    public bool Assign(IGameManager gameManager)
+    {
+        if (GameManager is not null)
+            return false;
+
+        foreach (IHierarchyObject hierarchyObject in gameManager.HierarchyObjects)
+            OnHierarchyObjectRegistered(gameManager, hierarchyObject);
+
+        gameManager.OnHierarchyObjectRegistered += OnHierarchyObjectRegistered;
+        gameManager.OnHierarchyObjectUnRegistered += OnHierarchyObjectUnregistered;
+
+        GameManager = gameManager;
+        OnGameManagerAssigned?.Invoke(this);
+
+        return true;
+    }
+
+    public bool Unassign()
+    {
+        if (GameManager is null)
+            return false;
+
+        foreach (IHierarchyObject hierarchyObject in GameManager.HierarchyObjects)
+            OnHierarchyObjectUnregistered(GameManager, hierarchyObject);
+
+        GameManager.OnHierarchyObjectRegistered -= OnHierarchyObjectRegistered;
+        GameManager.OnHierarchyObjectUnRegistered -= OnHierarchyObjectUnregistered;
+
+        GameManager = null!;
+        OnUnassigned?.Invoke(this);
+        return true;
+    }
+
+    public IEnumerator<T> GetEnumerator() => activeBehaviours.GetEnumerator();
+    IEnumerator IEnumerable.GetEnumerator() => activeBehaviours.GetEnumerator();
+}

Engine.Core/ActiveBehaviourCollectorSorted.cs

@@ -0,0 +1,30 @@
+using System;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public class ActiveBehaviourCollectorSorted<T> : ActiveBehaviourCollector<T> where T : class, IBehaviour
+{
+    private Comparison<T>? _sortBy = null;
+    public Comparison<T>? SortBy
+    {
+        get => _sortBy;
+        set
+        {
+            _sortBy = value;
+
+            if (value is not null)
+                activeBehaviours.Sort(value);
+        }
+    }
+
+    protected override void OnBehaviourAdd(IBehaviour behaviour)
+    {
+        if (SortBy is not null)
+            activeBehaviours.Sort(SortBy);
+    }
+
+    public ActiveBehaviourCollectorSorted() { }
+    public ActiveBehaviourCollectorSorted(IGameManager gameManager, Comparison<T> sortBy) : base(gameManager) => SortBy = sortBy;
+}

Engine.Core/BaseEntity.cs

@@ -4,14 +4,13 @@ namespace Syntriax.Engine.Core.Abstract;
 
 public abstract class BaseEntity : IEntity
 {
-    public event IEntity.OnIdChangedDelegate? OnIdChanged = null;
+    public event IEntity.IdChangedEventHandler? OnIdChanged = null;
 
-    public event IInitialize.OnInitializedDelegate? OnInitialized = null;
-    public event IInitialize.OnFinalizedDelegate? OnFinalized = null;
-
-    public event IAssignableStateEnable.OnStateEnableAssignedDelegate? OnStateEnableAssigned = null;
-    public event IAssignable.OnUnassignedDelegate? OnUnassigned = null;
+    public event IInitializable.InitializedEventHandler? OnInitialized = null;
+    public event IInitializable.FinalizedEventHandler? OnFinalized = null;
 
+    public event IHasStateEnable.StateEnableAssignedEventHandler? OnStateEnableAssigned = null;
+    public event IAssignable.UnassignEventHandler? OnUnassigned = null;
 
     private IStateEnable _stateEnable = null!;
 
@@ -20,13 +19,14 @@ public abstract class BaseEntity : IEntity
 
     public virtual IStateEnable StateEnable => _stateEnable;
 
-    public virtual bool IsActive => StateEnable.Enabled;
-
     public string Id
     {
         get => _id;
         set
         {
+            if (IsInitialized)
+                throw new($"Can't change {nameof(Id)} of {_id} because it's initialized");
+
             if (value == _id)
                 return;
 
@@ -37,7 +37,7 @@ public abstract class BaseEntity : IEntity
         }
     }
 
-    public bool Initialized
+    public bool IsInitialized
     {
         get => _initialized;
         private set
@@ -53,13 +53,15 @@ public abstract class BaseEntity : IEntity
         }
     }
 
+    protected virtual void OnAssign(IStateEnable stateEnable) { }
     public bool Assign(IStateEnable stateEnable)
     {
-        if (Initialized)
+        if (IsInitialized)
             return false;
 
         _stateEnable = stateEnable;
         _stateEnable.Assign(this);
+        OnAssign(stateEnable);
         OnStateEnableAssigned?.Invoke(this);
         return true;
     }
@@ -67,11 +69,13 @@ public abstract class BaseEntity : IEntity
     protected virtual void UnassignInternal() { }
     public bool Unassign()
     {
-        if (Initialized)
+        if (IsInitialized)
             return false;
 
         UnassignInternal();
 
+        _stateEnable = null!;
+        _stateEnable.Unassign();
         OnUnassigned?.Invoke(this);
         return true;
     }
@@ -79,24 +83,26 @@ public abstract class BaseEntity : IEntity
     protected virtual void InitializeInternal() { }
     public bool Initialize()
     {
-        if (Initialized)
+        if (IsInitialized)
             return false;
 
+        _stateEnable ??= Factory.StateEnableFactory.Instantiate(this);
+
         InitializeInternal();
 
-        Initialized = true;
+        IsInitialized = true;
         return true;
     }
 
     protected virtual void FinalizeInternal() { }
     public bool Finalize()
     {
-        if (!Initialized)
+        if (!IsInitialized)
             return false;
 
         FinalizeInternal();
 
-        Initialized = false;
+        IsInitialized = false;
         return true;
     }
 

Engine.Core/Behaviour.cs

@@ -1,59 +1,105 @@
 using Syntriax.Engine.Core.Abstract;
-using Syntriax.Engine.Core.Exceptions;
 
 namespace Syntriax.Engine.Core;
 
-[System.Diagnostics.DebuggerDisplay("{GetType().Name, nq}, Priority: {Priority}, Initialized: {Initialized}")]
-public abstract class Behaviour : BaseEntity, IBehaviour
+public abstract class Behaviour : BehaviourBase
 {
-    public event IAssignableBehaviourController.OnBehaviourControllerAssignedDelegate? OnBehaviourControllerAssigned = null;
+    private bool isInitializedThisFrame = false;
 
-    public event IBehaviour.OnPriorityChangedDelegate? OnPriorityChanged = null;
+    protected IGameManager GameManager => BehaviourController.HierarchyObject.GameManager;
+    protected IHierarchyObject HierarchyObject => BehaviourController.HierarchyObject;
 
-
-    private IBehaviourController _behaviourController = null!;
-
-    private int _priority = 0;
-
-
-    public IBehaviourController BehaviourController => _behaviourController;
-
-    public override bool IsActive => base.IsActive && BehaviourController.GameObject.StateEnable.Enabled;
-
-    public int Priority
+    public Behaviour()
     {
-        get => _priority;
-        set
-        {
-            if (value == _priority)
-                return;
-
-            int previousPriority = _priority;
-            _priority = value;
-            OnPriorityChanged?.Invoke(this, previousPriority);
-        }
+        OnInitialized += OnInitialize;
+        OnFinalized += OnFinalize;
+        OnUnassigned += OnUnassign;
     }
 
-    public bool Assign(IBehaviourController behaviourController)
-    {
-        if (Initialized)
-            return false;
+    protected virtual void OnUnassign() { }
+    protected virtual void OnUnassign(IAssignable assignable) => OnUnassign();
 
-        _behaviourController = behaviourController;
-        OnBehaviourControllerAssigned?.Invoke(this);
-        return true;
+    protected virtual void OnInitialize() { }
+    protected virtual void OnInitialize(IInitializable _)
+    {
+        isInitializedThisFrame = true;
+
+        BehaviourController.OnPreUpdate += PreUpdate;
+        BehaviourController.OnPreDraw += PreDraw;
+        BehaviourController.OnUpdate += Update;
+        BehaviourController.HierarchyObject.OnEnteredHierarchy += EnteredHierarchy;
+        BehaviourController.HierarchyObject.OnExitedHierarchy += ExitedHierarchy;
+
+        OnInitialize();
+
+        if (HierarchyObject.IsInHierarchy)
+            EnteredHierarchy(HierarchyObject, GameManager);
     }
 
-    protected override void UnassignInternal()
+    protected virtual void OnFinalize() { }
+    protected virtual void OnFinalize(IInitializable _)
     {
-        base.UnassignInternal();
-        _behaviourController = null!;
+        BehaviourController.OnPreUpdate -= PreUpdate;
+        BehaviourController.OnPreDraw -= PreDraw;
+        BehaviourController.OnUpdate -= Update;
+        BehaviourController.HierarchyObject.OnEnteredHierarchy -= EnteredHierarchy;
+        BehaviourController.HierarchyObject.OnExitedHierarchy -= ExitedHierarchy;
+
+        OnFinalize();
+
+        if (HierarchyObject.IsInHierarchy)
+            ExitedHierarchy(HierarchyObject, GameManager);
     }
 
-    protected override void InitializeInternal()
+    protected virtual void OnPreUpdatePreActiveCheck() { }
+    protected virtual void OnPreUpdate() { }
+    protected virtual void PreUpdate(IBehaviourController _)
     {
-        base.InitializeInternal();
-        NotAssignedException.Check(this, _behaviourController);
-        NotAssignedException.Check(this, StateEnable);
+        OnPreUpdatePreActiveCheck();
+
+        if (!IsActive)
+            return;
+
+        if (isInitializedThisFrame)
+            FirstActiveFrame();
+
+        OnPreUpdate();
     }
+
+    protected virtual void OnFirstActiveFrame() { }
+    protected virtual void FirstActiveFrame()
+    {
+        OnFirstActiveFrame();
+        isInitializedThisFrame = false;
+    }
+
+    protected virtual void OnUpdatePreActiveCheck() { }
+    protected virtual void OnUpdate() { }
+    protected virtual void Update(IBehaviourController _)
+    {
+        OnUpdatePreActiveCheck();
+
+        if (!IsActive)
+            return;
+
+        OnUpdate();
+    }
+
+    protected virtual void OnPreDrawPreActiveCheck() { }
+    protected virtual void OnPreDraw() { }
+    protected virtual void PreDraw(IBehaviourController _)
+    {
+        OnPreDrawPreActiveCheck();
+
+        if (!StateEnable.Enabled)
+            return;
+
+        OnPreDraw();
+    }
+
+    protected virtual void OnEnteredHierarchy(IGameManager gameManager) { }
+    protected virtual void EnteredHierarchy(IHierarchyObject sender, IGameManager gameManager) => OnEnteredHierarchy(gameManager);
+
+    protected virtual void OnExitedHierarchy(IGameManager gameManager) { }
+    protected virtual void ExitedHierarchy(IHierarchyObject sender, IGameManager gameManager) => OnExitedHierarchy(gameManager);
 }

Engine.Core/Behaviour2D.cs

@@ -0,0 +1,28 @@
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public abstract class Behaviour2D : Behaviour, IBehaviour2D
+{
+    public ITransform2D Transform { get; private set; } = null!;
+
+    protected sealed override void OnInitialize(IInitializable _)
+    {
+        Transform = BehaviourController.GetBehaviourInChildren<ITransform2D>() ?? throw new($"{HierarchyObject.Name} does not contain any {nameof(ITransform2D)}");
+        base.OnInitialize(_);
+    }
+
+    protected sealed override void OnFinalize(IInitializable _)
+    {
+        Transform = null!;
+        base.OnFinalize(_);
+    }
+
+    protected sealed override void OnUnassign(IAssignable assignable) => base.OnUnassign(assignable);
+    protected sealed override void PreUpdate(IBehaviourController behaviourController) => base.PreUpdate(behaviourController);
+    protected sealed override void FirstActiveFrame() => base.FirstActiveFrame();
+    protected sealed override void Update(IBehaviourController behaviourController) => base.Update(behaviourController);
+    protected sealed override void PreDraw(IBehaviourController behaviourController) => base.PreDraw(behaviourController);
+    protected sealed override void EnteredHierarchy(IHierarchyObject sender, IGameManager gameManager) => base.EnteredHierarchy(sender, gameManager);
+    protected sealed override void ExitedHierarchy(IHierarchyObject sender, IGameManager gameManager) => base.ExitedHierarchy(sender, gameManager);
+}

Engine.Core/BehaviourBase.cs

@@ -0,0 +1,88 @@
+using Syntriax.Engine.Core.Abstract;
+using Syntriax.Engine.Core.Exceptions;
+
+namespace Syntriax.Engine.Core;
+
+[System.Diagnostics.DebuggerDisplay("{GetType().Name, nq}, Priority: {Priority}, Initialized: {Initialized}")]
+public abstract class BehaviourBase : BaseEntity, IBehaviour
+{
+    public event IHasBehaviourController.BehaviourControllerAssignedEventHandler? OnBehaviourControllerAssigned = null;
+    public event IBehaviour.PriorityChangedEventHandler? OnPriorityChanged = null;
+    public event IActive.ActiveChangedEventHandler? OnActiveChanged = null;
+
+    private IBehaviourController _behaviourController = null!;
+    public IBehaviourController BehaviourController => _behaviourController;
+
+    private int _priority = 0;
+    public int Priority
+    {
+        get => _priority;
+        set
+        {
+            if (value == _priority)
+                return;
+
+            int previousPriority = _priority;
+            _priority = value;
+            OnPriorityChanged?.Invoke(this, previousPriority);
+        }
+    }
+
+    private bool _isActive = false;
+    public bool IsActive => _isActive;
+
+    protected virtual void OnAssign(IBehaviourController behaviourController) { }
+    public bool Assign(IBehaviourController behaviourController)
+    {
+        if (IsInitialized)
+            return false;
+
+        _behaviourController = behaviourController;
+        OnAssign(behaviourController);
+        behaviourController.OnHierarchyObjectAssigned += OnHierarchyObjectAssigned;
+        if (behaviourController.HierarchyObject is not null)
+            OnHierarchyObjectAssigned(behaviourController);
+        OnBehaviourControllerAssigned?.Invoke(this);
+        return true;
+    }
+
+    private void OnHierarchyObjectAssigned(IHasHierarchyObject sender)
+    {
+        sender.HierarchyObject.OnActiveChanged += OnHierarchyObjectActiveChanged;
+        UpdateActive();
+    }
+
+    protected override void OnAssign(IStateEnable stateEnable)
+    {
+        base.OnAssign(stateEnable);
+
+        stateEnable.OnEnabledChanged += OnStateEnabledChanged;
+    }
+
+    protected override void UnassignInternal()
+    {
+        StateEnable.OnEnabledChanged -= OnStateEnabledChanged;
+        BehaviourController.OnHierarchyObjectAssigned -= OnHierarchyObjectAssigned;
+        base.UnassignInternal();
+        _behaviourController = null!;
+    }
+
+    protected override void InitializeInternal()
+    {
+        base.InitializeInternal();
+        NotAssignedException.Check(this, _behaviourController);
+        NotAssignedException.Check(this, StateEnable);
+    }
+
+    private void OnStateEnabledChanged(IStateEnable sender, bool previousState) => UpdateActive();
+    private void OnHierarchyObjectActiveChanged(IActive sender, bool previousState) => UpdateActive();
+
+    private void UpdateActive()
+    {
+        bool previousActive = IsActive;
+        _isActive = StateEnable.Enabled && _behaviourController.HierarchyObject.IsActive;
+
+        if (previousActive != IsActive)
+            OnActiveChanged?.Invoke(this, previousActive);
+    }
+}

Engine.Core/BehaviourCollector.cs

@@ -6,72 +6,80 @@ using Syntriax.Engine.Core.Abstract;
 
 namespace Syntriax.Engine.Core;
 
-public class BehaviourCollector<T> : IAssignableGameManager, IEnumerable<T>
+public class BehaviourCollector<T> : IBehaviourCollector<T> where T : class
 {
-    public event IAssignable.OnUnassignedDelegate? OnUnassigned = null;
-    public event IAssignableGameManager.OnGameManagerAssignedDelegate? OnGameManagerAssigned = null;
+    public event IAssignable.UnassignEventHandler? OnUnassigned = null;
+    public event IHasGameManager.GameManagerAssignedEventHandler? OnGameManagerAssigned = null;
 
-    public event OnCollectedDelegate? OnCollected = null;
-    public event OnRemovedDelegate? OnRemoved = null;
+    public event IBehaviourCollector<T>.CollectedEventHandler? OnCollected = null;
+    public event IBehaviourCollector<T>.RemovedEventHandler? OnRemoved = null;
 
-    private readonly List<T> _behaviours = new(32);
+    protected readonly List<T> behaviours = new(32);
 
-    public IReadOnlyList<T> Behaviours => _behaviours;
+    public IReadOnlyList<T> Behaviours => behaviours;
     public IGameManager GameManager { get; private set; } = null!;
 
-    public T this[Index index] => _behaviours[index];
+    public T this[Index index] => behaviours[index];
 
     public BehaviourCollector() { }
     public BehaviourCollector(IGameManager gameManager) => Assign(gameManager);
 
-    private void OnGameObjectRegistered(IGameManager manager, IGameObject gameObject)
+    private void OnHierarchyObjectRegistered(IGameManager manager, IHierarchyObject hierarchyObject)
     {
-        gameObject.BehaviourController.OnBehaviourAdded += OnBehaviourAdded;
-        gameObject.BehaviourController.OnBehaviourRemoved += OnBehaviourRemoved;
+        hierarchyObject.BehaviourController.OnBehaviourAdded += OnBehaviourAdded;
+        hierarchyObject.BehaviourController.OnBehaviourRemoved += OnBehaviourRemoved;
+
+        foreach (IBehaviour item in hierarchyObject.BehaviourController)
+            OnBehaviourAdded(hierarchyObject.BehaviourController, item);
     }
 
-    private void OnGameObjectUnregistered(IGameManager manager, IGameObject gameObject)
+    private void OnHierarchyObjectUnregistered(IGameManager manager, IHierarchyObject hierarchyObject)
     {
-        gameObject.BehaviourController.OnBehaviourAdded -= OnBehaviourAdded;
-        gameObject.BehaviourController.OnBehaviourRemoved -= OnBehaviourRemoved;
+        hierarchyObject.BehaviourController.OnBehaviourAdded -= OnBehaviourAdded;
+        hierarchyObject.BehaviourController.OnBehaviourRemoved -= OnBehaviourRemoved;
+
+        foreach (IBehaviour item in hierarchyObject.BehaviourController)
+            OnBehaviourRemoved(hierarchyObject.BehaviourController, item);
     }
 
+    protected virtual void OnBehaviourAdd(IBehaviour behaviour) { }
     private void OnBehaviourAdded(IBehaviourController controller, IBehaviour behaviour)
     {
         if (behaviour is not T tBehaviour)
             return;
 
-        _behaviours.Add(tBehaviour);
+        behaviours.Add(tBehaviour);
+        OnBehaviourAdd(behaviour);
         OnCollected?.Invoke(this, tBehaviour);
     }
 
+    protected virtual void OnBehaviourRemove(IBehaviour behaviour) { }
     private void OnBehaviourRemoved(IBehaviourController controller, IBehaviour behaviour)
     {
         if (behaviour is not T tBehaviour)
             return;
 
-        if (!_behaviours.Remove(tBehaviour))
+        if (!behaviours.Remove(tBehaviour))
             return;
 
+        OnBehaviourRemove(behaviour);
         OnRemoved?.Invoke(this, tBehaviour);
     }
 
+    protected virtual void OnAssign(IGameManager gameManager) { }
     public bool Assign(IGameManager gameManager)
     {
         if (GameManager is not null)
             return false;
 
-        foreach (IGameObject gameObject in gameManager)
-        {
-            OnGameObjectRegistered(gameManager, gameObject);
-            foreach (IBehaviour behaviour in gameObject.BehaviourController)
-                OnBehaviourAdded(gameObject.BehaviourController, behaviour);
-        }
+        foreach (IHierarchyObject hierarchyObject in gameManager.HierarchyObjects)
+            OnHierarchyObjectRegistered(gameManager, hierarchyObject);
 
-        gameManager.OnGameObjectRegistered += OnGameObjectRegistered;
-        gameManager.OnGameObjectUnRegistered += OnGameObjectUnregistered;
+        gameManager.OnHierarchyObjectRegistered += OnHierarchyObjectRegistered;
+        gameManager.OnHierarchyObjectUnRegistered += OnHierarchyObjectUnregistered;
 
         GameManager = gameManager;
+        OnAssign(gameManager);
         OnGameManagerAssigned?.Invoke(this);
 
         return true;
@@ -82,25 +90,17 @@ public class BehaviourCollector<T> : IAssignableGameManager, IEnumerable<T>
         if (GameManager is null)
             return false;
 
-        foreach (IGameObject gameObject in GameManager)
-        {
-            OnGameObjectUnregistered(GameManager, gameObject);
-            foreach (IBehaviour behaviour in gameObject.BehaviourController)
-                OnBehaviourRemoved(gameObject.BehaviourController, behaviour);
-        }
+        foreach (IHierarchyObject hierarchyObject in GameManager.HierarchyObjects)
+            OnHierarchyObjectUnregistered(GameManager, hierarchyObject);
 
-        GameManager.OnGameObjectRegistered -= OnGameObjectRegistered;
-        GameManager.OnGameObjectUnRegistered -= OnGameObjectUnregistered;
+        GameManager.OnHierarchyObjectRegistered -= OnHierarchyObjectRegistered;
+        GameManager.OnHierarchyObjectUnRegistered -= OnHierarchyObjectUnregistered;
 
         GameManager = null!;
         OnUnassigned?.Invoke(this);
         return true;
     }
 
-    public IEnumerator<T> GetEnumerator() => _behaviours.GetEnumerator();
-    IEnumerator IEnumerable.GetEnumerator() => _behaviours.GetEnumerator();
-
-
-    public delegate void OnCollectedDelegate(BehaviourCollector<T> sender, T behaviourCollected);
-    public delegate void OnRemovedDelegate(BehaviourCollector<T> sender, T behaviourRemoved);
+    public IEnumerator<T> GetEnumerator() => behaviours.GetEnumerator();
+    IEnumerator IEnumerable.GetEnumerator() => behaviours.GetEnumerator();
 }

Engine.Core/BehaviourCollectorSorted.cs

@@ -0,0 +1,30 @@
+using System;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public class BehaviourCollectorSorted<T> : BehaviourCollector<T> where T : class
+{
+    private Comparison<T>? _sortBy = null;
+    public Comparison<T>? SortBy
+    {
+        get => _sortBy;
+        set
+        {
+            _sortBy = value;
+
+            if (value is not null)
+                behaviours.Sort(value);
+        }
+    }
+
+    protected override void OnBehaviourAdd(IBehaviour behaviour)
+    {
+        if (SortBy is not null)
+            behaviours.Sort(SortBy);
+    }
+
+    public BehaviourCollectorSorted() { }
+    public BehaviourCollectorSorted(IGameManager gameManager, Comparison<T> sortBy) : base(gameManager) => SortBy = sortBy;
+}

Engine.Core/BehaviourController.cs

@@ -1,37 +1,59 @@
 using System;
 using System.Collections;
 using System.Collections.Generic;
-using System.Diagnostics.CodeAnalysis;
 using System.Linq;
 
 using Syntriax.Engine.Core.Abstract;
+using Syntriax.Engine.Core.Exceptions;
 
 namespace Syntriax.Engine.Core;
 
 [System.Diagnostics.DebuggerDisplay("Behaviour Count: {behaviours.Count}")]
 public class BehaviourController : IBehaviourController
 {
-    public event IBehaviourController.OnPreUpdateDelegate? OnPreUpdate = null;
-    public event IBehaviourController.OnUpdateDelegate? OnUpdate = null;
-    public event IBehaviourController.OnPreDrawDelegate? OnPreDraw = null;
+    public event IBehaviourController.PreUpdateEventHandler? OnPreUpdate = null;
+    public event IBehaviourController.UpdateEventHandler? OnUpdate = null;
+    public event IBehaviourController.PreDrawEventHandler? OnPreDraw = null;
 
-    public event IBehaviourController.OnBehaviourAddedDelegate? OnBehaviourAdded = null;
-    public event IBehaviourController.OnBehaviourRemovedDelegate? OnBehaviourRemoved = null;
-    public event IAssignable.OnUnassignedDelegate? OnUnassigned;
-    public event IAssignableGameObject.OnGameObjectAssignedDelegate? OnGameObjectAssigned = null;
+    public event IBehaviourController.BehaviourAddedEventHandler? OnBehaviourAdded = null;
+    public event IBehaviourController.BehaviourRemovedEventHandler? OnBehaviourRemoved = null;
+    public event IHasHierarchyObject.HierarchyObjectAssignedEventHandler? OnHierarchyObjectAssigned = null;
 
+    public event IInitializable.InitializedEventHandler? OnInitialized = null;
+    public event IInitializable.FinalizedEventHandler? OnFinalized = null;
+
+    public event IAssignable.UnassignEventHandler? OnUnassigned = null;
 
     private readonly IList<IBehaviour> behaviours = new List<IBehaviour>(Constants.BEHAVIOURS_SIZE_INITIAL);
 
-    private IGameObject _gameObject = null!;
+    private IHierarchyObject _hierarchyObject = null!;
+    private bool _initialized = false;
 
+    public IHierarchyObject HierarchyObject => _hierarchyObject;
 
-    public IGameObject GameObject => _gameObject;
+    public bool IsInitialized
+    {
+        get => _initialized;
+        private set
+        {
+            if (value == _initialized)
+                return;
+
+            _initialized = value;
+            if (value)
+                OnInitialized?.Invoke(this);
+            else
+                OnFinalized?.Invoke(this);
+        }
+    }
 
     public T AddBehaviour<T>(T behaviour) where T : class, IBehaviour
     {
         InsertBehaviourByPriority(behaviour);
 
+        behaviour.Assign(this);
+        behaviour.Assign(Factory.StateEnableFactory.Instantiate(behaviour));
+
         behaviour.Initialize();
         behaviour.OnPriorityChanged += OnPriorityChange;
         OnBehaviourAdded?.Invoke(this, behaviour);
@@ -39,27 +61,21 @@ public class BehaviourController : IBehaviourController
     }
 
     public T AddBehaviour<T>(params object?[]? args) where T : class, IBehaviour
-        => AddBehaviour(new Factory.BehaviourFactory().Instantiate<T>(_gameObject, args));
+        => AddBehaviour(Factory.BehaviourFactory.Instantiate<T>(_hierarchyObject, args));
 
     public T? GetBehaviour<T>()
     {
-        foreach (var behaviourItem in behaviours)
+        foreach (IBehaviour behaviourItem in behaviours)
             if (behaviourItem is T result)
                 return result;
 
         return default;
     }
 
-    public bool TryGetBehaviour<T>([NotNullWhen(returnValue: true)] out T? behaviour)
-    {
-        behaviour = GetBehaviour<T>();
-        return behaviour is not null;
-    }
-
     public IList<T> GetBehaviours<T>()
     {
         List<T>? behaviours = null;
-        foreach (var behaviourItem in this.behaviours)
+        foreach (IBehaviour behaviourItem in this.behaviours)
         {
             if (behaviourItem is not T behaviour)
                 continue;
@@ -71,15 +87,15 @@ public class BehaviourController : IBehaviourController
         return behaviours ?? Enumerable.Empty<T>().ToList();
     }
 
-    public void GetBehaviours<T>(List<T> behaviors)
+    public void GetBehaviours<T>(IList<T> results)
     {
-        behaviors.Clear();
-        foreach (var behaviourItem in behaviours)
+        results.Clear();
+        foreach (IBehaviour behaviourItem in behaviours)
         {
-            if (behaviourItem is not T _)
+            if (behaviourItem is not T behaviour)
                 continue;
 
-            behaviours.Add(behaviourItem);
+            results.Add(behaviour);
         }
     }
 
@@ -100,7 +116,7 @@ public class BehaviourController : IBehaviourController
     public void RemoveBehaviour<T>(T behaviour) where T : class, IBehaviour
     {
         if (!behaviours.Contains(behaviour))
-            throw new Exception($"{behaviour.GetType().Name} does not exist in {GameObject.Name}'s {nameof(IBehaviourController)}.");
+            throw new Exception($"{behaviour.GetType().Name} does not exist in {HierarchyObject.Name}'s {nameof(IBehaviourController)}.");
 
         behaviour.OnPriorityChanged -= OnPriorityChange;
         behaviour.Finalize();
@@ -108,29 +124,57 @@ public class BehaviourController : IBehaviourController
         OnBehaviourRemoved?.Invoke(this, behaviour);
     }
 
-    public bool Assign(IGameObject gameObject)
+    protected virtual void OnAssign(IHierarchyObject hierarchyObject) { }
+    public bool Assign(IHierarchyObject hierarchyObject)
     {
-        if (GameObject is not null && GameObject.Initialized)
+        if (HierarchyObject is not null && HierarchyObject.IsInitialized)
             return false;
 
-        _gameObject = gameObject;
-        OnGameObjectAssigned?.Invoke(this);
+        _hierarchyObject = hierarchyObject;
+        OnAssign(hierarchyObject);
+        OnHierarchyObjectAssigned?.Invoke(this);
+        return true;
+    }
+
+    public bool Initialize()
+    {
+        if (IsInitialized)
+            return false;
+
+        NotAssignedException.Check(this, _hierarchyObject);
+
+        foreach (IBehaviour behaviour in behaviours)
+            behaviour.Initialize();
+
+        IsInitialized = true;
+        return true;
+    }
+
+    public bool Finalize()
+    {
+        if (!IsInitialized)
+            return false;
+
+        foreach (IBehaviour behaviour in behaviours)
+            behaviour.Finalize();
+
+        IsInitialized = false;
         return true;
     }
 
     public bool Unassign()
     {
-        if (GameObject is not null && GameObject.Initialized)
+        if (IsInitialized)
             return false;
 
-        _gameObject = null!;
+        _hierarchyObject = null!;
         OnUnassigned?.Invoke(this);
         return true;
     }
 
     public void Update()
     {
-        if (!GameObject.StateEnable.Enabled)
+        if (!HierarchyObject.StateEnable.Enabled)
             return;
 
         OnPreUpdate?.Invoke(this);
@@ -139,14 +183,14 @@ public class BehaviourController : IBehaviourController
 
     public void UpdatePreDraw()
     {
-        if (!GameObject.StateEnable.Enabled)
+        if (!HierarchyObject.StateEnable.Enabled)
             return;
 
         OnPreDraw?.Invoke(this);
     }
 
     public BehaviourController() { }
-    public BehaviourController(IGameObject gameObject) => Assign(gameObject);
+    public BehaviourController(IHierarchyObject hierarchyObject) => Assign(hierarchyObject);
 
     private void InsertBehaviourByPriority<T>(T behaviour) where T : class, IBehaviour
     {
@@ -165,7 +209,6 @@ public class BehaviourController : IBehaviourController
             behaviours.Add(behaviour);
     }
 
-
     private void OnPriorityChange(IBehaviour sender, int previousPriority)
     {
         behaviours.Remove(sender);

Engine.Core/BehaviourOverride.cs

@@ -1,87 +0,0 @@
-using Syntriax.Engine.Core.Abstract;
-
-namespace Syntriax.Engine.Core;
-
-public abstract class BehaviourOverride : Behaviour
-{
-    private bool isInitializedThisFrame = false;
-
-    protected IGameObject GameObject => BehaviourController.GameObject;
-    protected ITransform Transform => BehaviourController.GameObject.Transform;
-
-    public BehaviourOverride()
-    {
-        OnInitialized += OnInitialize;
-        OnFinalized += OnFinalize;
-        OnUnassigned += OnUnassign;
-    }
-
-    protected virtual void OnUnassign() { }
-    private void OnUnassign(IAssignable assignable) => OnUnassign();
-
-    protected virtual void OnInitialize() { }
-    private void OnInitialize(IInitialize _)
-    {
-        isInitializedThisFrame = true;
-
-        BehaviourController.OnPreUpdate += PreUpdate;
-        BehaviourController.OnPreDraw += PreDraw;
-        BehaviourController.OnUpdate += Update;
-        OnInitialize();
-    }
-
-    protected virtual void OnFinalize() { }
-    private void OnFinalize(IInitialize _)
-    {
-        BehaviourController.OnPreUpdate -= PreUpdate;
-        BehaviourController.OnPreDraw -= PreDraw;
-        BehaviourController.OnUpdate -= Update;
-        OnFinalize();
-    }
-
-    protected virtual void OnPreUpdatePreActiveCheck() { }
-    protected virtual void OnPreUpdate() { }
-    private void PreUpdate(IBehaviourController _)
-    {
-        OnPreUpdatePreActiveCheck();
-
-        if (!IsActive)
-            return;
-
-        if (isInitializedThisFrame)
-            FirstActiveFrame();
-
-        OnPreUpdate();
-    }
-
-    protected virtual void OnFirstActiveFrame() { }
-    private void FirstActiveFrame()
-    {
-        OnFirstActiveFrame();
-        isInitializedThisFrame = false;
-    }
-
-    protected virtual void OnUpdatePreActiveCheck() { }
-    protected virtual void OnUpdate() { }
-    private void Update(IBehaviourController _)
-    {
-        OnUpdatePreActiveCheck();
-
-        if (!IsActive)
-            return;
-
-        OnUpdate();
-    }
-
-    protected virtual void OnPreDrawPreActiveCheck() { }
-    protected virtual void OnPreDraw() { }
-    private void PreDraw(IBehaviourController _)
-    {
-        OnPreDrawPreActiveCheck();
-
-        if (!StateEnable.Enabled)
-            return;
-
-        OnPreDraw();
-    }
-}

Engine.Core/CoroutineManager.cs

@@ -0,0 +1,44 @@
+using System.Collections;
+using System.Collections.Generic;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public class CoroutineManager : HierarchyObject
+{
+    private readonly List<IEnumerator> enumerators = [];
+
+    public IEnumerator StartCoroutine(IEnumerator enumerator)
+    {
+        enumerators.Add(enumerator);
+        return enumerator;
+    }
+
+    public void StopCoroutine(IEnumerator enumerator)
+    {
+        enumerators.Remove(enumerator);
+    }
+
+    protected override void OnEnteringHierarchy(IGameManager gameManager)
+    {
+        gameManager.OnUpdate += OnUpdate;
+    }
+
+    protected override void OnExitingHierarchy(IGameManager gameManager)
+    {
+        gameManager.OnUpdate -= OnUpdate;
+    }
+
+    private void OnUpdate(IGameManager sender, EngineTime time)
+    {
+        for (int i = enumerators.Count - 1; i >= 0; i--)
+        {
+            if (enumerators[i].Current is ICoroutineYield coroutineYield && coroutineYield.Yield())
+                continue;
+
+            if (!enumerators[i].MoveNext())
+                enumerators.RemoveAt(i);
+        }
+    }
+}

Engine.Core/CoroutineYield.cs

@@ -0,0 +1,12 @@
+using System;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public class CoroutineYield(Func<bool> condition) : ICoroutineYield
+{
+    private readonly Func<bool> condition = condition;
+
+    public bool Yield() => condition.Invoke();
+}

Engine.Core/Engine.Core.csproj

@@ -4,5 +4,7 @@
     <TargetFramework>net8.0</TargetFramework>
     <ImplicitUsings>false</ImplicitUsings>
     <Nullable>enable</Nullable>
+    <RootNamespace>Syntriax.Engine.Core</RootNamespace>
   </PropertyGroup>
+
 </Project>

Engine.Core/Engine.Core.puml

@@ -0,0 +1,46 @@
+@startuml "Core Engine Relations"
+
+top to bottom direction
+skinparam linetype ortho
+skinparam nodesep 100
+
+title Core Engine Relations
+
+interface Engine.Core.Abstract.IEntity extends Engine.Core.Abstract.IInitializable {}
+interface Engine.Core.Abstract.IHierarchyObject extends Engine.Core.Abstract.IEntity, Engine.Core.Abstract.INameable {}
+
+interface Engine.Core.Abstract.INameable {}
+
+Engine.Core.Abstract.IHierarchyObject --> Engine.Core.Abstract.IBehaviourController: has
+Engine.Core.Abstract.IBehaviourController "1" --> "0..*" Engine.Core.Abstract.IBehaviour: has
+
+interface Engine.Core.Abstract.IBehaviourController {}
+interface Engine.Core.Abstract.IBehaviour {}
+interface Engine.Core.Abstract.IBehaviour2D extends Engine.Core.Abstract.IBehaviour {}
+interface Engine.Core.Abstract.IBehaviour3D extends Engine.Core.Abstract.IBehaviour {}
+
+interface Engine.Core.Abstract.IGameManager {}
+Engine.Core.Abstract.IGameManager "1" -r-> "0..*" Engine.Core.Abstract.IHierarchyObject: has
+
+' together {
+'     interface Engine.Core.Abstract.IAssignable {}
+'     interface Engine.Core.Abstract.IHasStateEnable extends Engine.Core.Abstract.IAssignable {}
+'     interface Engine.Core.Abstract.IHasGameManager extends Engine.Core.Abstract.IAssignable {}
+'     interface Engine.Core.Abstract.IHasHierarchyObject extends Engine.Core.Abstract.IAssignable {}
+'     interface Engine.Core.Abstract.IHasBehaviourController extends Engine.Core.Abstract.IAssignable {}
+'     ' Engine.Core.Abstract.IHasStateEnable --> Engine.Core.Abstract.IStateEnable: has
+'     ' Engine.Core.Abstract.IHasGameManager --> Engine.Core.Abstract.IGameManager: has
+'     ' Engine.Core.Abstract.IHasHierarchyObject --> Engine.Core.Abstract.IHierarchyObject: has
+'     ' Engine.Core.Abstract.IHasBehaviourController --> Engine.Core.Abstract.IBehaviourController: has
+' }
+
+together {
+    interface Engine.Core.Abstract.ITransform2D {}
+    interface Engine.Core.Abstract.ICamera2D {}
+    interface Engine.Core.Abstract.ICoroutineYield {}
+    interface Engine.Core.Abstract.IStateEnable {}
+    interface Engine.Core.Abstract.IInitializable {}
+    interface Engine.Core.Abstract.IBehaviourCollector {}
+}
+
+@enduml

Engine.Core/EngineTime.cs

@@ -2,10 +2,10 @@ using System;
 
 namespace Syntriax.Engine.Core;
 
-public readonly struct EngineTime(TimeSpan Total, TimeSpan Elapsed)
+public readonly struct EngineTime(TimeSpan TimeSinceStart, TimeSpan TimeDelta)
 {
-    public readonly TimeSpan Total = Total;
-    public readonly TimeSpan Elapsed = Elapsed;
+    public readonly TimeSpan TimeSinceStart = TimeSinceStart;
+    public readonly TimeSpan DeltaSpan = TimeDelta;
 
-    public readonly float DeltaTimeFrame = (float)Elapsed.TotalMilliseconds;
+    public readonly float DeltaTime = (float)TimeDelta.TotalSeconds;
 }

Engine.Core/Exceptions/AssignException.cs

@@ -1,5 +1,4 @@
 using System;
-using Syntriax.Engine.Core.Abstract;
 
 namespace Syntriax.Engine.Core.Exceptions;
 
@@ -8,13 +7,6 @@ public class AssignException : Exception
     public AssignException() : base("Assign operation has failed.") { }
     public AssignException(string? message) : base(message) { }
 
-    // public static AssignException FromStateEnable(IStateEnable? stateEnable)
-    //     => new AssignException($"{nameof(IGameObject.AssignStateEnable)} failed on type {stateEnable?.GetType().ToString() ?? "\"null\""}");
     public static AssignException From<T, T2>(T to, T2? value)
-        => new AssignException($"Assign operation has failed on T: {typeof(T).FullName}, value: {value?.GetType().ToString() ?? "\"null\""}");
-    // public static AssignException FromBehaviourController(IBehaviourController? behaviourController)
-    //     => new AssignException($"{nameof(IGameObject.AssignBehaviourController)} failed on type {behaviourController?.GetType().ToString() ?? "\"null\""}");
+        => new($"Assign operation has failed on T: {to?.GetType().FullName ?? "\"null\""}, value: {value?.GetType().ToString() ?? "\"null\""}");
 }
-// throw new Exception($"{nameof(IGameObject.AssignTransform)} failed on type {transform?.GetType().ToString() ?? "null"} for type {typeof(T).FullName}");
-// throw new Exception($"{nameof(IGameObject.AssignBehaviourController)} failed on type {behaviourController?.GetType().ToString() ?? "null"} for type {typeof(T).FullName}");
-// throw new Exception($"{nameof(IGameObject.AssignStateEnable)} failed on type {stateEnable?.GetType().ToString() ?? "null"} for type {typeof(T).FullName}");

Engine.Core/Exceptions/NotAssignedException.cs

@@ -8,10 +8,10 @@ public class NotAssignedException : Exception
     public NotAssignedException() : base("The object has not been assigned.") { }
     public NotAssignedException(string? message) : base(message) { }
 
-    public static NotAssignedException From<T1, T2>(T1 to, T2? value) where T1 : IAssignable
-        => new NotAssignedException($"{typeof(T2).Name} has not been assigned to {typeof(T1).Name}");
+    public static NotAssignedException From<T1, T2>(T1 to, T2? value)
+        => new($"{value?.GetType().FullName ?? "\"null\""} has not been assigned to {to?.GetType().FullName ?? "\"null\""}");
 
-    public static void Check<T1, T2>(T1 to, T2? value) where T1 : IAssignable
+    public static void Check<T1, T2>(T1 to, T2? value)
     {
         if (value is not null)
             return;

Engine.Core/Extensions/Abstract/TransformExtensions.cs

@@ -1,9 +0,0 @@
-namespace Syntriax.Engine.Core.Abstract;
-
-public static class TransformExtensions
-{
-    public static Vector2D TransformVector2D(this ITransform transform, Vector2D vector)
-        => vector.Scale(transform.Scale)
-                 .Rotate(transform.Rotation * Math.DegreeToRadian)
-                 .Add(transform.Position);
-}

Engine.Core/Extensions/BehaviourControllerExtensions.cs

@@ -6,40 +6,89 @@ namespace Syntriax.Engine.Core;
 
 public static class BehaviourControllerExtensions
 {
+    /// <summary>
+    /// Tries to get a <see cref="IBehaviour"/> of the specified type.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get.</typeparam>
+    /// <param name="behaviourController">The <see cref="IBehaviourController"/> to search in.</param>
+    /// <param name="behaviour">When this method returns, contains the <see cref="IBehaviour"/> of the specified type, if found; otherwise, null.</param>
+    /// <returns><see cref="true"/> if a <see cref="IBehaviour"/> of the specified type was found; otherwise, <see cref="false"/>.</returns>
+    public static bool TryGetBehaviour<T>(this IBehaviourController behaviourController, [NotNullWhen(returnValue: true)] out T? behaviour)
+    {
+        behaviour = behaviourController.GetBehaviour<T>();
+        return behaviour is not null;
+    }
+
+    /// <summary>
+    /// Gets an existing <see cref="IBehaviour"/> of the specified type, or adds and returns a new one if it doesn't exist.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get or add.</typeparam>
+    /// <param name="behaviourController">The <see cref="IBehaviourController"/> to search in.</param>
+    /// <param name="args">Optional arguments to pass to the constructor of the <see cref="IBehaviour"/> if a new one is added.</param>
+    /// <returns>The existing or newly added <see cref="IBehaviour"/> of the specified type.</returns>
+    public static T GetOrAddBehaviour<T>(this IBehaviourController behaviourController, params object?[]? args) where T : class, IBehaviour
+        => behaviourController.GetBehaviour<T>() ?? behaviourController.AddBehaviour<T>(args);
+
+    /// <summary>
+    /// Tries to get a <see cref="IBehaviour"/> of the specified type in the parent hierarchy.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get.</typeparam>
+    /// <param name="behaviourController">The <see cref="IBehaviourController"/> to start searching from.</param>
+    /// <param name="behaviour">When this method returns, contains the <see cref="IBehaviour"/> of the specified type, if found; otherwise, null.</param>
+    /// <returns><see cref="true"/> if a <see cref="IBehaviour"/> of the specified type was found in the parent hierarchy; otherwise, <see cref="false"/>.</returns>
     public static bool TryGetBehaviourInParent<T>(this IBehaviourController behaviourController, [NotNullWhen(returnValue: true)] out T? behaviour) where T : class
     {
         behaviour = GetBehaviourInParent<T>(behaviourController);
         return behaviour is not null;
     }
 
+    /// <summary>
+    /// Gets a <see cref="IBehaviour"/> of the specified type in the parent hierarchy.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get.</typeparam>
+    /// <param name="behaviourController">The <see cref="IBehaviourController"/> to start searching from.</param>
+    /// <returns>The <see cref="IBehaviour"/> of the specified type if found; otherwise, null.</returns>
     public static T? GetBehaviourInParent<T>(this IBehaviourController behaviourController) where T : class
     {
         IBehaviourController? controller = behaviourController;
 
         while (controller is not null)
         {
-            if (behaviourController.GetBehaviour<T>() is T behaviour)
+            if (controller.GetBehaviour<T>() is T behaviour)
                 return behaviour;
 
-            controller = controller.GameObject.Transform.Parent?.GameObject.BehaviourController;
+            controller = controller.HierarchyObject.Parent?.BehaviourController;
         }
 
         return default;
     }
 
+    /// <summary>
+    /// Tries to get a <see cref="IBehaviour"/> of the specified type in the child hierarchy.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get.</typeparam>
+    /// <param name="behaviourController">The <see cref="IBehaviourController"/> to start searching from.</param>
+    /// <param name="behaviour">When this method returns, contains the <see cref="IBehaviour"/> of the specified type, if found; otherwise, null.</param>
+    /// <returns><see cref="true"/> if a <see cref="IBehaviour"/> of the specified type was found in the child hierarchy; otherwise, <see cref="false"/>.</returns>
     public static bool TryGetBehaviourInChildren<T>(this IBehaviourController behaviourController, [NotNullWhen(returnValue: true)] out T? behaviour) where T : class
     {
         behaviour = GetBehaviourInChildren<T>(behaviourController);
         return behaviour is not null;
     }
 
+    /// <summary>
+    /// Gets a <see cref="IBehaviour"/> of the specified type in the child hierarchy.
+    /// </summary>
+    /// <typeparam name="T">The type of <see cref="IBehaviour"/> to get.</typeparam>
+    /// <param name="behaviourController">The <see cref="IBehaviourController"/> to start searching from.</param>
+    /// <returns>The <see cref="IBehaviour"/> of the specified type if found; otherwise, null.</returns>
     public static T? GetBehaviourInChildren<T>(this IBehaviourController behaviourController) where T : class
     {
         if (behaviourController.GetBehaviour<T>() is T localBehaviour)
             return localBehaviour;
 
-        foreach (ITransform transform in behaviourController.GameObject.Transform)
-            if (GetBehaviourInChildren<T>(transform.GameObject.BehaviourController) is T behaviour)
+        foreach (IHierarchyObject child in behaviourController.HierarchyObject)
+            if (GetBehaviourInChildren<T>(child.BehaviourController) is T behaviour)
                 return behaviour;
 
         return default;

Engine.Core/Extensions/BehaviourExtensions.cs

@@ -7,29 +7,29 @@ namespace Syntriax.Engine.Core;
 
 public static class BehaviourExtensions
 {
-    public static T? FindBehaviour<T>(this IEnumerable<IGameObject> gameObjects) where T : class
+    public static T? FindBehaviour<T>(this IEnumerable<IHierarchyObject> hierarchyObjects) where T : class
     {
-        foreach (IGameObject gameObject in gameObjects)
-            if (gameObject.BehaviourController.TryGetBehaviour(out T? behaviour))
+        foreach (IHierarchyObject hierarchyObject in hierarchyObjects)
+            if (hierarchyObject.BehaviourController.GetBehaviour<T>() is T behaviour)
                 return behaviour;
 
         return default;
     }
 
-    public static bool TryFindBehaviour<T>(this IEnumerable<IGameObject> gameObjects, [NotNullWhen(returnValue: true)] out T? behaviour) where T : class
+    public static bool TryFindBehaviour<T>(this IEnumerable<IHierarchyObject> hierarchyObjects, [NotNullWhen(returnValue: true)] out T? behaviour) where T : class
     {
-        behaviour = FindBehaviour<T>(gameObjects);
+        behaviour = FindBehaviour<T>(hierarchyObjects);
         return behaviour is not null;
     }
 
-    public static void FindBehaviours<T>(this IEnumerable<IGameObject> gameObjects, List<T> behaviours) where T : class
+    public static void FindBehaviours<T>(this IEnumerable<IHierarchyObject> hierarchyObjects, List<T> behaviours) where T : class
     {
         behaviours.Clear();
         List<T> cache = [];
 
-        foreach (IGameObject gameObject in gameObjects)
+        foreach (IHierarchyObject hierarchyObject in hierarchyObjects)
         {
-            gameObject.BehaviourController.GetBehaviours(cache);
+            hierarchyObject.BehaviourController.GetBehaviours(cache);
             behaviours.AddRange(cache);
         }
     }

Engine.Core/Extensions/EnumExtensions.cs

@@ -0,0 +1,9 @@
+using System;
+
+namespace Syntriax.Engine.Core;
+
+public static class EnumExtensions
+{
+    public static bool CheckFlag(this Enum left, Enum right)
+        => ((int)(object)left & (int)(object)right) != 0;
+}

Engine.Core/Extensions/GameManagerExtensions.cs

@@ -4,6 +4,6 @@ namespace Syntriax.Engine.Core;
 
 public static class GameManagerExtensions
 {
-    public static IGameObject InstantiateGameObject(this IGameManager gameManager, params object?[]? args)
-        => gameManager.InstantiateGameObject<GameObject>(args);
+    public static IHierarchyObject InstantiateHierarchyObject(this IGameManager gameManager, params object?[]? args)
+        => gameManager.InstantiateHierarchyObject<HierarchyObject>(args);
 }

Engine.Core/Extensions/GameObjectExtensions.cs

@@ -1,12 +0,0 @@
-using Syntriax.Engine.Core.Abstract;
-
-namespace Syntriax.Engine.Core;
-
-public static class GameObjectExtensions
-{
-    public static IGameObject SetGameObject(this IGameObject gameObject, string name)
-    {
-        gameObject.Name = name;
-        return gameObject;
-    }
-}

Engine.Core/Extensions/HierarchyObjectExtensions.cs

@@ -0,0 +1,41 @@
+using System.Collections.Generic;
+using System.Diagnostics.CodeAnalysis;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+public static class HierarchyObjectExtensions
+{
+    public static T SetHierarchyObject<T>(this T hierarchyObject, string? name = "", IHierarchyObject? parent = null) where T : IHierarchyObject
+    {
+        if (!string.IsNullOrWhiteSpace(name))
+            hierarchyObject.Name = name;
+        if (parent is not null)
+            hierarchyObject.SetParent(parent);
+        return hierarchyObject;
+    }
+
+    public static T? FindHierarchyObject<T>(this IEnumerable<IHierarchyObject> hierarchyObjects) where T : class
+    {
+        foreach (IHierarchyObject hierarchyObject in hierarchyObjects)
+            if (hierarchyObject is T @object)
+                return @object;
+
+        return default;
+    }
+
+    public static bool TryFindHierarchyObject<T>(this IEnumerable<IHierarchyObject> hierarchyObjects, [NotNullWhen(returnValue: true)] out T? behaviour) where T : class
+    {
+        behaviour = FindHierarchyObject<T>(hierarchyObjects);
+        return behaviour is not null;
+    }
+
+    public static void FindHierarchyObjects<T>(this IEnumerable<IHierarchyObject> hierarchyObjects, List<T> behaviours) where T : class
+    {
+        behaviours.Clear();
+        foreach (IHierarchyObject hierarchyObject in hierarchyObjects)
+            if (hierarchyObject is T @object)
+                behaviours.Add(@object);
+    }
+}

Engine.Core/Extensions/TransformExtensions.cs

@@ -4,7 +4,7 @@ namespace Syntriax.Engine.Core;
 
 public static class TransformExtensions
 {
-    public static ITransform SetTransform(this ITransform transform,
+    public static ITransform2D SetTransform(this ITransform2D transform,
         Vector2D? position = null, float? rotation = null, Vector2D? scale = null,
         Vector2D? localPosition = null, float? localRotation = null, Vector2D? localScale = null)
     {

Engine.Core/Extensions/Vector2DExtensions.cs

@@ -1,188 +0,0 @@
-namespace Syntriax.Engine.Core;
-
-/// <summary>
-/// Provides extension methods for <see cref="Vector2D"/> type.
-/// </summary>
-public static class Vector2DExtensions
-{
-    /// <summary>
-    /// Calculates the length of the <see cref="Vector2D"/>.
-    /// </summary>
-    /// <param name="vector">The input <see cref="Vector2D"/>.</param>
-    /// <returns>The length of the <see cref="Vector2D"/>.</returns>
-    public static float Length(this Vector2D vector) => Vector2D.Length(vector);
-
-    /// <summary>
-    /// Calculates the squared length of the <see cref="Vector2D"/>.
-    /// </summary>
-    /// <param name="vector">The input <see cref="Vector2D"/>.</param>
-    /// <returns>The squared length of the <see cref="Vector2D"/>.</returns>
-    public static float LengthSquared(this Vector2D vector) => Vector2D.LengthSquared(vector);
-
-    /// <summary>
-    /// Calculates the distance between two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="from">The starting <see cref="Vector2D"/>.</param>
-    /// <param name="to">The ending <see cref="Vector2D"/>.</param>
-    /// <returns>The distance between the two <see cref="Vector2D"/>s.</returns>
-    public static float Distance(this Vector2D from, Vector2D to) => Vector2D.Distance(from, to);
-
-    /// <summary>
-    /// Returns the <see cref="Vector2D"/> with its components inverted.
-    /// </summary>
-    /// <param name="vector">The input <see cref="Vector2D"/>.</param>
-    /// <returns>The inverted <see cref="Vector2D"/>.</returns>
-    public static Vector2D Invert(this Vector2D vector) => Vector2D.Invert(vector);
-
-    /// <summary>
-    /// Adds two <see cref="Vector2D"/>s component-wise.
-    /// </summary>
-    /// <param name="vector">The first <see cref="Vector2D"/>.</param>
-    /// <param name="vectorToAdd">The vector <see cref="Vector2D"/> to be added.</param>
-    /// <returns>The result of the addition.</returns>
-    public static Vector2D Add(this Vector2D vector, Vector2D vectorToAdd) => Vector2D.Add(vector, vectorToAdd);
-
-    /// <summary>
-    /// Subtracts one <see cref="Vector2D"/> from another component-wise.
-    /// </summary>
-    /// <param name="vector">The first <see cref="Vector2D"/>.</param>
-    /// <param name="vectorToSubtract">The <see cref="Vector2D"/> to be subtracted.</param>
-    /// <returns>The result of the subtraction.</returns>
-    public static Vector2D Subtract(this Vector2D vector, Vector2D vectorToSubtract) => Vector2D.Subtract(vector, vectorToSubtract);
-
-    /// <summary>
-    /// Multiplies a <see cref="Vector2D"/> by a scalar value.
-    /// </summary>
-    /// <param name="vector">The <see cref="Vector2D"/> to multiply.</param>
-    /// <param name="value">The scalar value to multiply with.</param>
-    /// <returns>The result of the multiplication.</returns>
-    public static Vector2D Multiply(this Vector2D vector, float value) => Vector2D.Multiply(vector, value);
-
-    /// <summary>
-    /// Divides a <see cref="Vector2D"/> by a scalar value.
-    /// </summary>
-    /// <param name="vector">The <see cref="Vector2D"/> to divide.</param>
-    /// <param name="value">The scalar value to divide with.</param>
-    /// <returns>The result of the division.</returns>
-    public static Vector2D Divide(this Vector2D vector, float value) => Vector2D.Divide(vector, value);
-
-    /// <summary>
-    /// Returns a <see cref="Vector2D"/> with the absolute values of each component.
-    /// </summary>
-    /// <param name="vector">The input <see cref="Vector2D"/>.</param>
-    /// <returns>The <see cref="Vector2D"/> with absolute values.</returns>
-    public static Vector2D Abs(this Vector2D vector) => Vector2D.Abs(vector);
-
-    /// <summary>
-    /// Reflects a <see cref="Vector2D"/> off a surface with the specified normal.
-    /// </summary>
-    /// <param name="vector">The <see cref="Vector2D"/> to reflect.</param>
-    /// <param name="normal">The normal <see cref="Vector2D"/> of the reflecting surface.</param>
-    /// <returns>The reflected <see cref="Vector2D"/>.</returns>
-    public static Vector2D Reflect(this Vector2D vector, Vector2D normal) => Vector2D.Reflect(vector, normal);
-
-    /// <summary>
-    /// Normalizes the <see cref="Vector2D"/> (creates a <see cref="Vector2D"/> with the same direction but with a length of 1).
-    /// </summary>
-    /// <param name="vector">The input <see cref="Vector2D"/>.</param>
-    /// <returns>The normalized <see cref="Vector2D"/>.</returns>
-    public static Vector2D Normalize(this Vector2D vector) => Vector2D.Normalize(vector);
-
-    /// <summary>
-    /// Creates a <see cref="Vector2D"/> pointing from one point to another.
-    /// </summary>
-    /// <param name="from">The starting point.</param>
-    /// <param name="to">The ending point.</param>
-    /// <returns>The <see cref="Vector2D"/> pointing from <paramref name="from"/> to <paramref name="to"/>.</returns>
-    public static Vector2D FromTo(this Vector2D from, Vector2D to) => Vector2D.FromTo(from, to);
-
-    /// <summary>
-    /// Scales a <see cref="Vector2D"/> by another <see cref="Vector2D"/> component-wise.
-    /// </summary>
-    /// <param name="vector">The <see cref="Vector2D"/> to scale.</param>
-    /// <param name="scale">The <see cref="Vector2D"/> containing the scaling factors for each component.</param>
-    /// <returns>The scaled <see cref="Vector2D"/>.</returns>
-    public static Vector2D Scale(this Vector2D vector, Vector2D scale) => Vector2D.Scale(vector, scale);
-
-    /// <summary>
-    /// Calculates the perpendicular <see cref="Vector2D"/> to the given <see cref="Vector2D"/>.
-    /// </summary>
-    /// <param name="vector">The input <see cref="Vector2D"/>.</param>
-    /// <returns>A <see cref="Vector2D"/> perpendicular to the input <see cref="Vector2D"/>.</returns>
-    public static Vector2D Perpendicular(this Vector2D vector) => Vector2D.Perpendicular(vector);
-
-    /// <summary>
-    /// Rotates a <see cref="Vector2D"/> by the specified angle (in radians).
-    /// </summary>
-    /// <param name="vector">The <see cref="Vector2D"/> to rotate.</param>
-    /// <param name="angleInRadian">The angle to rotate by, in radians.</param>
-    /// <returns>The rotated <see cref="Vector2D"/>.</returns>
-    public static Vector2D Rotate(this Vector2D vector, float angleInRadian) => Vector2D.Rotate(vector, angleInRadian);
-
-    /// <summary>
-    /// Returns the component-wise minimum of two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="left">The first <see cref="Vector2D"/>.</param>
-    /// <param name="right">The second <see cref="Vector2D"/>.</param>
-    /// <returns>The <see cref="Vector2D"/> containing the minimum components from both input <see cref="Vector2D"/>s.</returns>
-    public static Vector2D Min(this Vector2D left, Vector2D right) => Vector2D.Min(left, right);
-
-    /// <summary>
-    /// Returns the component-wise maximum of two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="left">The first <see cref="Vector2D"/>.</param>
-    /// <param name="right">The second <see cref="Vector2D"/>.</param>
-    /// <returns>The <see cref="Vector2D"/> containing the maximum components from both input <see cref="Vector2D"/>s.</returns>
-    public static Vector2D Max(this Vector2D left, Vector2D right) => Vector2D.Max(left, right);
-
-    /// <summary>
-    /// Clamps each component of a <see cref="Vector2D"/> between the corresponding component of two other <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="vector">The <see cref="Vector2D"/> to clamp.</param>
-    /// <param name="min">The <see cref="Vector2D"/> representing the minimum values for each component.</param>
-    /// <param name="max">The <see cref="Vector2D"/> representing the maximum values for each component.</param>
-    /// <returns>The clamped <see cref="Vector2D"/>.</returns>
-    public static Vector2D Clamp(this Vector2D vector, Vector2D min, Vector2D max) => Vector2D.Clamp(vector, min, max);
-
-    /// <summary>
-    /// Linearly interpolates between two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="from">The start <see cref="Vector2D"/>.</param>
-    /// <param name="to">The end <see cref="Vector2D"/>.</param>
-    /// <param name="t">The interpolation parameter (between 0 and 1).</param>
-    /// <returns>The interpolated <see cref="Vector2D"/>.</returns>
-    public static Vector2D Lerp(this Vector2D from, Vector2D to, float t) => Vector2D.Lerp(from, to, t);
-
-    /// <summary>
-    /// Calculates the cross product of two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="left">The first <see cref="Vector2D"/>.</param>
-    /// <param name="right">The second <see cref="Vector2D"/>.</param>
-    /// <returns>The cross product of the two <see cref="Vector2D"/>s.</returns>
-    public static float Cross(this Vector2D left, Vector2D right) => Vector2D.Cross(left, right);
-
-    /// <summary>
-    /// Calculates the angle in radians between two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="left">The first <see cref="Vector2D"/>.</param>
-    /// <param name="right">The second <see cref="Vector2D"/>.</param>
-    /// <returns>The angle between the two <see cref="Vector2D"/>s in radians.</returns>
-    public static float AngleBetween(this Vector2D left, Vector2D right) => Vector2D.Angle(left, right);
-
-    /// <summary>
-    /// Calculates the dot product of two <see cref="Vector2D"/>s.
-    /// </summary>
-    /// <param name="left">The first <see cref="Vector2D"/>.</param>
-    /// <param name="right">The second <see cref="Vector2D"/>.</param>
-    /// <returns>The dot product of the two <see cref="Vector2D"/>s.</returns>
-    public static float Dot(this Vector2D left, Vector2D right) => Vector2D.Dot(left, right);
-
-    /// <summary>
-    /// Checks whether two <see cref="Vector2D"/>s are approximately equal within a certain epsilon range.
-    /// </summary>
-    /// <param name="left">The first <see cref="Vector2D"/>.</param>
-    /// <param name="right">The second <see cref="Vector2D"/>.</param>
-    /// <param name="epsilon">The maximum difference allowed between components.</param>
-    /// <returns>True if the <see cref="Vector2D"/>s are approximately equal, false otherwise.</returns>
-    public static bool ApproximatelyEquals(this Vector2D left, Vector2D right, float epsilon = float.Epsilon) => Vector2D.ApproximatelyEquals(left, right, epsilon);
-}

Engine.Core/Factory/BehaviourControllerFactory.cs

@@ -5,16 +5,19 @@ namespace Syntriax.Engine.Core.Factory;
 
 public class BehaviourControllerFactory
 {
-    public IBehaviourController Instantiate(IGameObject gameObject)
-        => Instantiate<BehaviourController>(gameObject);
+    public static IBehaviourController Instantiate(IHierarchyObject hierarchyObject)
+        => Instantiate<BehaviourController>(hierarchyObject);
 
-    public T Instantiate<T>(IGameObject gameObject, params object?[]? args)
+    public static T Instantiate<T>(IHierarchyObject hierarchyObject, params object?[]? args)
         where T : class, IBehaviourController
     {
         T behaviourController = TypeFactory.Get<T>(args);
 
-        if (!behaviourController.Assign(gameObject))
-            throw AssignException.From(behaviourController, gameObject);
+        if (!hierarchyObject.Assign(behaviourController))
+            throw AssignException.From(hierarchyObject, behaviourController);
+
+        if (!behaviourController.Assign(hierarchyObject))
+            throw AssignException.From(behaviourController, hierarchyObject);
 
         return behaviourController;
     }

Engine.Core/Factory/BehaviourFactory.cs

@@ -5,10 +5,10 @@ namespace Syntriax.Engine.Core.Factory;
 
 public class BehaviourFactory
 {
-    public T Instantiate<T>(IGameObject gameObject, params object?[]? args) where T : class, IBehaviour
-        => Instantiate<T>(gameObject, stateEnable: null, args);
+    public static T Instantiate<T>(IHierarchyObject hierarchyObject, params object?[]? args) where T : class, IBehaviour
+        => Instantiate<T>(hierarchyObject, stateEnable: null, args);
 
-    public T Instantiate<T>(IGameObject gameObject, IStateEnable? stateEnable, params object?[]? args)
+    public static T Instantiate<T>(IHierarchyObject hierarchyObject, IStateEnable? stateEnable, params object?[]? args)
         where T : class, IBehaviour
     {
         T behaviour = TypeFactory.Get<T>(args);
@@ -17,10 +17,10 @@ public class BehaviourFactory
         if (!stateEnable.Assign(behaviour))
             throw AssignException.From(stateEnable, behaviour);
 
-        if (!behaviour.Assign(gameObject.BehaviourController))
-            throw AssignException.From(behaviour, gameObject.BehaviourController);
         if (!behaviour.Assign(stateEnable))
             throw AssignException.From(behaviour, stateEnable);
+        if (!behaviour.Assign(hierarchyObject.BehaviourController))
+            throw AssignException.From(behaviour, hierarchyObject.BehaviourController);
 
         return behaviour;
     }

Engine.Core/Factory/GameObjectFactory.cs

@@ -1,42 +0,0 @@
-using Syntriax.Engine.Core.Abstract;
-using Syntriax.Engine.Core.Exceptions;
-
-namespace Syntriax.Engine.Core.Factory;
-
-public class GameObjectFactory
-{
-    public T Instantiate<T>(params object?[]? args) where T : class, IGameObject
-        => Instantiate<T>(transform: null, behaviourController: null, stateEnable: null, args);
-
-    public T Instantiate<T>(
-        ITransform? transform = null,
-        IBehaviourController? behaviourController = null,
-        IStateEnable? stateEnable = null,
-        params object?[]? args
-    )
-        where T : class, IGameObject
-    {
-        T gameObject = TypeFactory.Get<T>(args);
-
-        transform ??= TypeFactory.Get<Transform>();
-        behaviourController ??= TypeFactory.Get<BehaviourController>();
-        stateEnable ??= TypeFactory.Get<StateEnable>();
-
-        if (!transform.Assign(gameObject))
-            throw AssignException.From(transform, gameObject);
-
-        if (!behaviourController.Assign(gameObject))
-            throw AssignException.From(behaviourController, gameObject);
-        if (!stateEnable.Assign(gameObject))
-            throw AssignException.From(stateEnable, gameObject);
-
-        if (!gameObject.Assign(transform))
-            throw AssignException.From(gameObject, transform);
-        if (!gameObject.Assign(behaviourController))
-            throw AssignException.From(gameObject, behaviourController);
-        if (!gameObject.Assign(stateEnable))
-            throw AssignException.From(gameObject, stateEnable);
-
-        return gameObject;
-    }
-}

Engine.Core/Factory/HierarchyObjectFactory.cs

@@ -0,0 +1,37 @@
+using Syntriax.Engine.Core.Abstract;
+using Syntriax.Engine.Core.Exceptions;
+
+namespace Syntriax.Engine.Core.Factory;
+
+public class HierarchyObjectFactory
+{
+    public static IHierarchyObject Instantiate() => Instantiate<HierarchyObject>();
+    public static T Instantiate<T>(params object?[]? args) where T : class, IHierarchyObject
+        => Instantiate<T>(behaviourController: null, stateEnable: null, args);
+
+    public static IHierarchyObject Instantiate(IBehaviourController? behaviourController = null, IStateEnable? stateEnable = null) => Instantiate<HierarchyObject>(behaviourController, stateEnable);
+    public static T Instantiate<T>(
+        IBehaviourController? behaviourController = null,
+        IStateEnable? stateEnable = null,
+        params object?[]? args
+    )
+        where T : class, IHierarchyObject
+    {
+        T hierarchyObject = TypeFactory.Get<T>(args);
+
+        behaviourController ??= TypeFactory.Get<BehaviourController>();
+        stateEnable ??= TypeFactory.Get<StateEnable>();
+
+        if (!behaviourController.Assign(hierarchyObject))
+            throw AssignException.From(behaviourController, hierarchyObject);
+        if (!stateEnable.Assign(hierarchyObject))
+            throw AssignException.From(stateEnable, hierarchyObject);
+
+        if (!hierarchyObject.Assign(behaviourController))
+            throw AssignException.From(hierarchyObject, behaviourController);
+        if (!hierarchyObject.Assign(stateEnable))
+            throw AssignException.From(hierarchyObject, stateEnable);
+
+        return hierarchyObject;
+    }
+}

Engine.Core/Factory/StateEnableFactory.cs

@@ -5,12 +5,15 @@ namespace Syntriax.Engine.Core.Factory;
 
 public class StateEnableFactory
 {
-    public IStateEnable Instantiate(IEntity entity) => Instantiate<StateEnable>(entity);
+    public static IStateEnable Instantiate(IEntity entity) => Instantiate<StateEnable>(entity);
 
-    public T Instantiate<T>(IEntity entity, params object?[]? args) where T : class, IStateEnable
+    public static T Instantiate<T>(IEntity entity, params object?[]? args) where T : class, IStateEnable
     {
         T stateEnable = TypeFactory.Get<T>(args);
 
+        if (!entity.Assign(stateEnable))
+            throw AssignException.From(entity, stateEnable);
+
         if (!stateEnable.Assign(entity))
             throw AssignException.From(stateEnable, entity);
 

Engine.Core/Factory/TransformFactory.cs

@@ -4,7 +4,7 @@ namespace Syntriax.Engine.Core.Factory;
 
 public class TransformFactory
 {
-    public ITransform Instantiate() => TypeFactory.Get<Transform>();
-    public T Instantiate<T>(params object?[]? args) where T : class, ITransform
+    public static ITransform2D Instantiate() => TypeFactory.Get<Transform2D>();
+    public static T Instantiate<T>(params object?[]? args) where T : class, ITransform2D
         => TypeFactory.Get<T>(args);
 }

Engine.Core/GameManager.cs

@@ -4,32 +4,22 @@ using System.Collections.Generic;
 
 using Syntriax.Engine.Core.Abstract;
 using Syntriax.Engine.Core.Exceptions;
-using Syntriax.Engine.Core.Factory;
 
 namespace Syntriax.Engine.Core;
 
-[System.Diagnostics.DebuggerDisplay("GameObject Count: {_gameObjects.Count}")]
+[System.Diagnostics.DebuggerDisplay("HierarchyObject Count: {_hierarchyObjects.Count}")]
 public class GameManager : BaseEntity, IGameManager
 {
-    public event IGameManager.OnGameObjectRegisteredDelegate? OnGameObjectRegistered = null;
-    public event IGameManager.OnGameObjectUnRegisteredDelegate? OnGameObjectUnRegistered = null;
+    public event IGameManager.UpdateEventHandler? OnPreUpdate = null;
+    public event IGameManager.UpdateEventHandler? OnUpdate = null;
+    public event IGameManager.PreDrawEventHandler? OnPreDraw = null;
 
+    public event IGameManager.HierarchyObjectRegisteredEventHandler? OnHierarchyObjectRegistered = null;
+    public event IGameManager.HierarchyObjectUnRegisteredEventHandler? OnHierarchyObjectUnRegistered = null;
 
-    private readonly List<IGameObject> _gameObjects = new(Constants.GAME_OBJECTS_SIZE_INITIAL);
+    private readonly List<IHierarchyObject> _hierarchyObjects = new(Constants.GAME_OBJECTS_SIZE_INITIAL);
 
-    private GameObjectFactory _gameObjectFactory = null!;
-
-    private GameObjectFactory GameObjectFactory
-    {
-        get
-        {
-            if (_gameObjectFactory is null)
-                _gameObjectFactory = new GameObjectFactory();
-            return _gameObjectFactory;
-        }
-    }
-
-    public IReadOnlyList<IGameObject> GameObjects => _gameObjects;
+    public IReadOnlyList<IHierarchyObject> HierarchyObjects => _hierarchyObjects;
 
     public override IStateEnable StateEnable
     {
@@ -37,7 +27,7 @@ public class GameManager : BaseEntity, IGameManager
         {
             if (base.StateEnable is null)
             {
-                Assign(new StateEnableFactory().Instantiate(this));
+                Assign(Factory.StateEnableFactory.Instantiate(this));
                 if (base.StateEnable is null)
                     throw NotAssignedException.From(this, base.StateEnable);
             }
@@ -46,28 +36,58 @@ public class GameManager : BaseEntity, IGameManager
         }
     }
 
-    public void RegisterGameObject(IGameObject gameObject)
-    {
-        if (_gameObjects.Contains(gameObject))
-            throw new Exception($"{nameof(IGameObject)} named {gameObject.Name} is already registered to the {nameof(GameManager)}.");
+    public EngineTime Time { get; private set; } = new();
 
-        Register(gameObject);
+    public void Register(IHierarchyObject hierarchyObject)
+    {
+        if (_hierarchyObjects.Contains(hierarchyObject))
+            throw new Exception($"{nameof(IHierarchyObject)} named {hierarchyObject.Name} is already registered to the {nameof(GameManager)}.");
+
+        hierarchyObject.OnFinalized += OnHierarchyObjectFinalize;
+        hierarchyObject.OnExitedHierarchy += OnHierarchyObjectExitedHierarchy;
+
+        if (!hierarchyObject.Initialize())
+            throw new Exception($"{hierarchyObject.Name} can't be initialized");
+
+        for (int i = 0; i < hierarchyObject.Children.Count; i++)
+            Register(hierarchyObject.Children[i]);
+
+        _hierarchyObjects.Add(hierarchyObject);
+
+        if (!hierarchyObject.EnterHierarchy(this))
+            throw new Exception($"{hierarchyObject.Name} can't enter the hierarchy");
+
+        OnHierarchyObjectRegistered?.Invoke(this, hierarchyObject);
     }
 
-    public T InstantiateGameObject<T>(params object?[]? args) where T : class, IGameObject
+    public T InstantiateHierarchyObject<T>(params object?[]? args) where T : class, IHierarchyObject
     {
-        T gameObject = GameObjectFactory.Instantiate<T>(args);
-        Register(gameObject);
-        return gameObject;
+        T hierarchyObject = Factory.HierarchyObjectFactory.Instantiate<T>(args);
+        Register(hierarchyObject);
+        return hierarchyObject;
     }
 
-    public IGameObject RemoveGameObject(IGameObject gameObject)
+    public void Remove(IHierarchyObject hierarchyObject)
     {
-        if (!_gameObjects.Contains(gameObject))
-            throw new Exception($"{nameof(IGameObject)} named {gameObject.Name} is not registered to the {nameof(GameManager)}.");
+        if (!_hierarchyObjects.Contains(hierarchyObject))
+            throw new Exception($"{nameof(IHierarchyObject)} named {hierarchyObject.Name} is not registered to the {nameof(GameManager)}.");
 
-        Unregister(gameObject);
-        return gameObject;
+        hierarchyObject.OnFinalized -= OnHierarchyObjectFinalize;
+        hierarchyObject.OnExitedHierarchy -= OnHierarchyObjectExitedHierarchy;
+
+        for (int i = hierarchyObject.Children.Count - 1; i >= 0; i--)
+            Remove(hierarchyObject.Children[i]);
+
+        _hierarchyObjects.Remove(hierarchyObject);
+        hierarchyObject.SetParent(null);
+
+        if (!hierarchyObject.ExitHierarchy())
+            throw new Exception($"{hierarchyObject.Name} can't exit the hierarchy");
+
+        if (!hierarchyObject.Finalize())
+            throw new Exception($"{hierarchyObject.Name} can't be finalized");
+
+        OnHierarchyObjectUnRegistered?.Invoke(this, hierarchyObject);
     }
 
     protected override void InitializeInternal()
@@ -75,58 +95,49 @@ public class GameManager : BaseEntity, IGameManager
         base.InitializeInternal();
         NotAssignedException.Check(this, StateEnable);
 
-        foreach (var gameObject in GameObjects)
-            gameObject.Initialize();
+        foreach (IHierarchyObject hierarchyObject in HierarchyObjects)
+            hierarchyObject.Initialize();
     }
 
     protected override void FinalizeInternal()
     {
         base.FinalizeInternal();
-        for (int i = GameObjects.Count; i >= 0; i--)
-            GameObjects[i].Finalize();
+        for (int i = HierarchyObjects.Count; i >= 0; i--)
+            HierarchyObjects[i].Finalize();
     }
 
-    public void Update(EngineTime time)
+    public void Update(EngineTime engineTime)
     {
-        Time.SetTime(time);
-        foreach (var gameObject in GameObjects)
-            gameObject.BehaviourController.Update();
+        Time = engineTime;
+
+        OnPreUpdate?.Invoke(this, engineTime);
+
+        for (int i = 0; i < HierarchyObjects.Count; i++)
+            HierarchyObjects[i].BehaviourController.Update();
+
+        OnUpdate?.Invoke(this, engineTime);
     }
 
     public void PreDraw()
     {
-        foreach (var gameObject in GameObjects)
-            gameObject.BehaviourController.UpdatePreDraw();
+        for (int i = 0; i < HierarchyObjects.Count; i++)
+            HierarchyObjects[i].BehaviourController.UpdatePreDraw();
+
+        OnPreDraw?.Invoke(this);
     }
 
-    /////////////////////////////////////////////////////////////////
-
-    private void Register(IGameObject gameObject)
+    private void OnHierarchyObjectFinalize(IInitializable initializable)
     {
-        gameObject.Assign(this);
-
-        gameObject.OnFinalized += OnGameObjectFinalize;
-
-        _gameObjects.Add(gameObject);
-        OnGameObjectRegistered?.Invoke(this, gameObject);
+        if (initializable is IHierarchyObject hierarchyObject)
+            Remove(hierarchyObject);
     }
 
-    private void Unregister(IGameObject gameObject)
+    private void OnHierarchyObjectExitedHierarchy(IHierarchyObject sender, IGameManager gameManager)
     {
-        gameObject.OnFinalized -= OnGameObjectFinalize;
-
-        _gameObjects.Remove(gameObject);
-        OnGameObjectUnRegistered?.Invoke(this, gameObject);
+        if (sender is IHierarchyObject hierarchyObject)
+            Remove(hierarchyObject);
     }
 
-    private void OnGameObjectFinalize(IInitialize initialize)
-    {
-        if (initialize is IGameObject gameObject)
-            Unregister(gameObject);
-    }
-
-    /////////////////////////////////////////////////////////////////
-
-    public IEnumerator<IGameObject> GetEnumerator() => _gameObjects.GetEnumerator();
-    IEnumerator IEnumerable.GetEnumerator() => _gameObjects.GetEnumerator();
+    public IEnumerator<IHierarchyObject> GetEnumerator() => _hierarchyObjects.GetEnumerator();
+    IEnumerator IEnumerable.GetEnumerator() => _hierarchyObjects.GetEnumerator();
 }

Engine.Core/GameObject.cs

@@ -1,117 +0,0 @@
-using Syntriax.Engine.Core.Abstract;
-using Syntriax.Engine.Core.Exceptions;
-
-namespace Syntriax.Engine.Core;
-
-[System.Diagnostics.DebuggerDisplay("Name: {Name}, Initialized: {Initialized}")]
-public class GameObject : BaseEntity, IGameObject
-{
-    public event IAssignableTransform.OnTransformAssignedDelegate? OnTransformAssigned = null;
-    public event IAssignableGameManager.OnGameManagerAssignedDelegate? OnGameManagerAssigned = null;
-    public event IAssignableBehaviourController.OnBehaviourControllerAssignedDelegate? OnBehaviourControllerAssigned = null;
-
-    public event INameable.OnNameChangedDelegate? OnNameChanged = null;
-
-    public event IGameObject.OnUpdatedDelegate? OnUpdated = null;
-
-
-    private ITransform _transform = null!;
-    private IBehaviourController _behaviourController = null!;
-    private IStateEnable _stateEnable = null!;
-    private IGameManager _gameManager = null!;
-
-    private string _name = nameof(GameObject);
-
-    public ITransform Transform => _transform;
-    public IBehaviourController BehaviourController => _behaviourController;
-    public IGameManager GameManager => _gameManager;
-
-    public string Name
-    {
-        get => _name;
-        set
-        {
-            if (value == _name) return;
-
-            string previousName = _name;
-            _name = value;
-            OnNameChanged?.Invoke(this, previousName);
-        }
-    }
-
-    protected override void InitializeInternal()
-    {
-        base.InitializeInternal();
-
-        NotAssignedException.Check(this, _transform);
-        NotAssignedException.Check(this, _behaviourController);
-        NotAssignedException.Check(this, _stateEnable);
-        NotAssignedException.Check(this, _gameManager);
-    }
-
-    public void Update()
-    {
-        if (!_stateEnable.Enabled)
-            return;
-
-        OnUpdated?.Invoke(this);
-    }
-
-    protected override void FinalizeInternal()
-    {
-        base.FinalizeInternal();
-
-        foreach (IBehaviour behaviour in _behaviourController.GetBehaviours<IBehaviour>())
-            behaviour.Finalize();
-    }
-
-    public bool Assign(ITransform transform)
-    {
-        if (Initialized)
-            return false;
-
-        _transform = transform;
-        OnTransformAssigned?.Invoke(this);
-        return true;
-    }
-
-    public bool Assign(IBehaviourController behaviourController)
-    {
-        if (Initialized)
-            return false;
-
-        _behaviourController = behaviourController;
-        OnBehaviourControllerAssigned?.Invoke(this);
-        return true;
-    }
-
-    public bool Assign(IGameManager gameManager)
-    {
-        if (Initialized)
-            return false;
-
-        _gameManager = gameManager;
-        OnGameManagerAssigned?.Invoke(this);
-        return true;
-    }
-
-    protected override void UnassignInternal()
-    {
-        base.UnassignInternal();
-
-        _stateEnable = null!;
-        _transform = null!;
-        _behaviourController = null!;
-        _gameManager = null!;
-    }
-
-    public GameObject() { OnBehaviourControllerAssigned += ConnectBehaviourController; }
-
-    private void ConnectBehaviourController(IAssignableBehaviourController controller)
-    {
-        controller.BehaviourController.OnBehaviourAdded += OnBehaviourAdded;
-        controller.BehaviourController.OnBehaviourRemoved += OnBehaviourRemoved;
-    }
-    private void OnBehaviourRemoved(IBehaviourController _, IBehaviour behaviour) { if (Initialized) behaviour.Initialize(); }
-    private void OnBehaviourAdded(IBehaviourController _, IBehaviour behaviour) { if (Initialized) behaviour.Finalize(); }
-}

Engine.Core/HierarchyObject.cs

@@ -0,0 +1,166 @@
+using System.Collections;
+using System.Collections.Generic;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+[System.Diagnostics.DebuggerDisplay("Name: {Name}, Initialized: {Initialized}")]
+public class HierarchyObject : BaseEntity, IHierarchyObject
+{
+    public event IHierarchyObject.EnteredHierarchyEventHandler? OnEnteredHierarchy = null;
+    public event IHierarchyObject.ExitedHierarchyEventHandler? OnExitedHierarchy = null;
+    public event IHierarchyObject.ParentChangedEventHandler? OnParentChanged = null;
+    public event IHierarchyObject.ChildrenAddedEventHandler? OnChildrenAdded = null;
+    public event IHierarchyObject.ChildrenRemovedEventHandler? OnChildrenRemoved = null;
+    public event IHasBehaviourController.BehaviourControllerAssignedEventHandler? OnBehaviourControllerAssigned = null;
+    public event INameable.NameChangedEventHandler? OnNameChanged = null;
+    public event IActive.ActiveChangedEventHandler? OnActiveChanged = null;
+
+    private string _name = nameof(HierarchyObject);
+    private IGameManager _gameManager = null!;
+    private IBehaviourController _behaviourController = null!;
+    private bool _isActive = false;
+    private readonly List<IHierarchyObject> _children = [];
+
+    public IHierarchyObject? Parent { get; private set; } = null;
+    public IReadOnlyList<IHierarchyObject> Children => _children;
+    public IBehaviourController BehaviourController => _behaviourController;
+    public IGameManager GameManager => _gameManager;
+    public bool IsInHierarchy => _gameManager is not null;
+    public bool IsActive => _isActive;
+
+    public string Name
+    {
+        get => _name;
+        set
+        {
+            if (value == _name) return;
+
+            string previousName = _name;
+            _name = value;
+            OnNameChanged?.Invoke(this, previousName);
+        }
+    }
+
+    protected virtual void OnEnteringHierarchy(IGameManager gameManager) { }
+    bool IHierarchyObject.EnterHierarchy(IGameManager gameManager)
+    {
+        if (IsInHierarchy)
+            return false;
+
+        _gameManager = gameManager;
+        UpdateActive();
+        OnEnteringHierarchy(gameManager);
+        OnEnteredHierarchy?.Invoke(this, gameManager);
+        return true;
+    }
+
+    protected virtual void OnExitingHierarchy(IGameManager gameManager) { }
+    bool IHierarchyObject.ExitHierarchy()
+    {
+        if (!IsInHierarchy || _gameManager is not IGameManager gameManager)
+            return false;
+
+        OnExitingHierarchy(gameManager);
+        _gameManager = null!;
+        SetParent(null);
+        OnExitedHierarchy?.Invoke(this, gameManager);
+        return true;
+    }
+
+    public void SetParent(IHierarchyObject? parent)
+    {
+        if (parent == this)
+            throw new Exceptions.AssignException($"{Name} can not parent itself");
+
+        if (Parent == parent)
+            return;
+
+        IHierarchyObject? previousParent = Parent;
+        if (previousParent is not null)
+        {
+            previousParent.RemoveChild(this);
+            previousParent.OnActiveChanged -= OnParentActiveChanged;
+        }
+
+        Parent = parent;
+
+        if (parent is not null)
+        {
+            if (parent.IsInHierarchy && !IsInHierarchy)
+                parent.GameManager.Register(this);
+
+            parent.AddChild(this);
+            parent.OnActiveChanged += OnParentActiveChanged;
+        }
+
+        UpdateActive();
+        OnParentChanged?.Invoke(this, previousParent, parent);
+    }
+
+    public void AddChild(IHierarchyObject parent)
+    {
+        if (_children.Contains(parent))
+            return;
+
+        _children.Add(parent);
+        parent.SetParent(this);
+        OnChildrenAdded?.Invoke(this, parent);
+    }
+
+    public void RemoveChild(IHierarchyObject parent)
+    {
+        if (!_children.Remove(parent))
+            return;
+
+        parent.SetParent(null);
+        OnChildrenRemoved?.Invoke(this, parent);
+    }
+
+    protected virtual void OnAssign(IBehaviourController behaviourController) { }
+    public bool Assign(IBehaviourController behaviourController)
+    {
+        if (IsInitialized)
+            return false;
+
+        _behaviourController = behaviourController;
+        OnAssign(behaviourController);
+        OnBehaviourControllerAssigned?.Invoke(this);
+        return true;
+    }
+
+    protected override void OnAssign(IStateEnable stateEnable)
+    {
+        base.OnAssign(stateEnable);
+
+        stateEnable.OnEnabledChanged += OnStateEnabledChanged;
+    }
+
+    private void OnParentActiveChanged(IActive sender, bool previousState) => UpdateActive();
+    private void OnStateEnabledChanged(IStateEnable sender, bool previousState) => UpdateActive();
+
+    private void UpdateActive()
+    {
+        bool previousActive = IsActive;
+        _isActive = StateEnable.Enabled && (Parent?.IsActive ?? true);
+
+        if (previousActive != IsActive)
+            OnActiveChanged?.Invoke(this, previousActive);
+    }
+
+    protected override void UnassignInternal()
+    {
+        base.UnassignInternal();
+        StateEnable.OnEnabledChanged -= OnStateEnabledChanged;
+    }
+
+    protected override void InitializeInternal()
+    {
+        base.InitializeInternal();
+        _behaviourController ??= Factory.BehaviourControllerFactory.Instantiate(this);
+    }
+
+    public IEnumerator<IHierarchyObject> GetEnumerator() => _children.GetEnumerator();
+    IEnumerator IEnumerable.GetEnumerator() => _children.GetEnumerator();
+}

Engine.Core/Math.cs

@@ -4,9 +4,10 @@ using System.Numerics;
 namespace Syntriax.Engine.Core;
 
 public static class Math
-{/// <summary>
- /// The value of Pi (π), a mathematical constant approximately equal to 3.14159.
- /// </summary>
+{
+    /// <summary>
+    /// The value of Pi (π), a mathematical constant approximately equal to 3.14159.
+    /// </summary>
     public const float PI = 3.1415926535897932f;
 
     /// <summary>
@@ -37,6 +38,20 @@ public static class Math
     /// <returns>The absolute value of <paramref name="x"/>.</returns>
     public static T Abs<T>(T x) where T : INumber<T> => x > T.Zero ? x : -x;
 
+    /// <summary>
+    /// Returns the cosine of a number.
+    /// </summary>
+    /// <param name="x">The number.</param>
+    /// <returns>The cosine of <paramref name="x"/>.</returns>
+    public static float Cos(float x) => MathF.Cos(x);
+
+    /// <summary>
+    /// Returns the sine of a number.
+    /// </summary>
+    /// <param name="x">The number.</param>
+    /// <returns>The sine of <paramref name="x"/>.</returns>
+    public static float Sin(float x) => MathF.Sin(x);
+
     /// <summary>
     /// Returns the arccosine of a number.
     /// </summary>
@@ -74,7 +89,7 @@ public static class Math
     /// <param name="min">The minimum value.</param>
     /// <param name="max">The maximum value.</param>
     /// <returns>The clamped value.</returns>
-    public static T Clamp<T>(this T x, T min, T max) where T : INumber<T> => (x < min) ? min : (x > max) ? max : x;
+    public static T Clamp<T>(T x, T min, T max) where T : INumber<T> => (x < min) ? min : (x > max) ? max : x;
 
     /// <summary>
     /// Returns the smallest integral value that is greater than or equal to the specified number.
@@ -156,6 +171,16 @@ public static class Math
     /// <returns>The number <paramref name="x"/> raised to the power <paramref name="y"/>.</returns>
     public static float Pow(float x, float y) => MathF.Pow(x, y);
 
+    /// <summary>
+    /// Performs linear interpolation between two specified values.
+    /// </summary>
+    /// <typeparam name="T">The type of the values, which must implement <see cref="IFloatingPoint{T}"/>.</typeparam>
+    /// <param name="x">The starting value of the interpolation.</param>
+    /// <param name="y">The ending value of the interpolation.</param>
+    /// <param name="t">The interpolation factor, typically in the range [0, 1].</param>
+    /// <returns>A value that represents the linear interpolation between <paramref name="x"/> and <paramref name="y"/>.</returns>
+    public static T Lerp<T>(T x, T y, T t) where T : IFloatingPoint<T> => x + (y - x) * t;
+
     /// <summary>
     /// Rounds a number to a specified number of fractional digits.
     /// </summary>
@@ -186,5 +211,4 @@ public static class Math
     /// <param name="x">The number.</param>
     /// <returns>The integral part of <paramref name="x"/>.</returns>
     public static float Truncate(float x) => MathF.Truncate(x);
-
 }

Engine.Core/MathExtensions.cs

@@ -0,0 +1,76 @@
+using System;
+using System.Numerics;
+
+namespace Syntriax.Engine.Core;
+
+public static class MathExtensions
+{
+    /// <inheritdoc cref="Math.Abs{T}(T)" />
+    public static T Abs<T>(this T x) where T : INumber<T> => Math.Abs(x);
+
+    /// <inheritdoc cref="Math.Cos(float)" />
+    public static float Cos(this float x) => Math.Cos(x);
+
+    /// <inheritdoc cref="Math.Sin(float)" />
+    public static float Sin(this float x) => Math.Sin(x);
+
+    /// <inheritdoc cref="Math.Acos(float)" />
+    public static float Acos(this float x) => Math.Acos(x);
+
+    /// <inheritdoc cref="Math.Asin(float)" />
+    public static float Asin(this float x) => Math.Asin(x);
+
+    /// <inheritdoc cref="Math.Atan2(float, float)" />
+    public static float Atan2(this float y, float x) => Math.Atan2(y, x);
+
+    /// <inheritdoc cref="Math.Atanh(float)" />
+    public static float Atanh(this float x) => Math.Atanh(x);
+
+    /// <inheritdoc cref="Math.Clamp{T}(T, T, T)" />
+    public static T Clamp<T>(this T x, T min, T max) where T : INumber<T> => Math.Clamp(x, min, max);
+
+    /// <inheritdoc cref="Math.Ceiling(float)" />
+    public static float Ceiling(this float x) => Math.Ceiling(x);
+
+    /// <inheritdoc cref="Math.CopySign(float, float)" />
+    public static float CopySign(this float x, float y) => Math.CopySign(x, y);
+
+    /// <inheritdoc cref="Math.Floor(float)" />
+    public static float Floor(this float x) => Math.Floor(x);
+
+    /// <inheritdoc cref="Math.IEEERemainder(float, float)" />
+    public static float IEEERemainder(this float x, float y) => Math.IEEERemainder(x, y);
+
+    /// <inheritdoc cref="Math.Log(float, float)" />
+    public static float Log(this float x, float y) => Math.Log(x, y);
+
+    /// <inheritdoc cref="Math.Max{T}(T, T)" />
+    public static T Max<T>(this T x, T y) where T : INumber<T> => Math.Max(x, y);
+
+    /// <inheritdoc cref="Math.AbsMax{T}(T, T)" />
+    public static T AbsMax<T>(this T x, T y) where T : INumber<T> => Math.AbsMax(x, y);
+
+    /// <inheritdoc cref="Math.Min{T}(T, T)" />
+    public static T Min<T>(this T x, T y) where T : INumber<T> => Math.Min(x, y);
+
+    /// <inheritdoc cref="Math.AbsMin{T}(T, T)" />
+    public static T AbsMin<T>(this T x, T y) where T : INumber<T> => Math.AbsMin(x, y);
+
+    /// <inheritdoc cref="Math.Pow(float, float)" />
+    public static float Pow(this float x, float y) => Math.Pow(x, y);
+
+    /// <inheritdoc cref="Math.Lerp{T}(T, T, T)" />
+    public static T Lerp<T>(this T x, T y, T t) where T : IFloatingPoint<T> => Math.Lerp(x, y, t);
+
+    /// <inheritdoc cref="Math.Round(float, int, MidpointRounding)" />
+    public static float Round(this float x, int digits, MidpointRounding mode) => Math.Round(x, digits, mode);
+
+    /// <inheritdoc cref="Math.Sqr{T}(T)" />
+    public static T Sqr<T>(this T x) where T : INumber<T> => Math.Sqr(x);
+
+    /// <inheritdoc cref="Math.Sqrt(float)" />
+    public static float Sqrt(this float x) => Math.Sqrt(x);
+
+    /// <inheritdoc cref="Math.Truncate(float)" />
+    public static float Truncate(this float x) => Math.Truncate(x);
+}

Engine.Core/Primitives/AABB.cs

@@ -1,8 +1,6 @@
 using System.Collections.Generic;
 
-using Syntriax.Engine.Core;
-
-namespace Syntriax.Engine.Physics2D.Primitives;
+namespace Syntriax.Engine.Core;
 
 /// <summary>
 /// Represents an Axis-Aligned Bounding Box (AABB) in 2D space.
@@ -65,14 +63,21 @@ public readonly struct AABB(Vector2D lowerBoundary, Vector2D upperBoundary)
         return new(lowerBoundary, upperBoundary);
     }
 
+    /// <summary>
+    /// Converts the <see cref="AABB"/> to its string representation.
+    /// </summary>
+    /// <returns>A string representation of the <see cref="AABB"/>.</returns>
+    public override string ToString() => $"{nameof(AABB)}({LowerBoundary}, {UpperBoundary})";
+
     /// <summary>
     /// Checks if two <see cref="AABB"/>s are approximately equal.
     /// </summary>
     /// <param name="left">The first <see cref="AABB"/>.</param>
     /// <param name="right">The second <see cref="AABB"/>.</param>
+    /// <param name="epsilon">The epsilon range.</param>
     /// <returns><see cref="true"/> if the <see cref="AABB"/>s are approximately equal; otherwise, <see cref="false"/>.</returns>
-    public static bool ApproximatelyEquals(AABB left, AABB right)
-        => left.LowerBoundary.ApproximatelyEquals(right.LowerBoundary) && left.UpperBoundary.ApproximatelyEquals(right.UpperBoundary);
+    public static bool ApproximatelyEquals(AABB left, AABB right, float epsilon = float.Epsilon)
+        => left.LowerBoundary.ApproximatelyEquals(right.LowerBoundary, epsilon) && left.UpperBoundary.ApproximatelyEquals(right.UpperBoundary, epsilon);
 }
 
 /// <summary>
@@ -80,18 +85,9 @@ public readonly struct AABB(Vector2D lowerBoundary, Vector2D upperBoundary)
 /// </summary>
 public static class AABBExtensions
 {
-    /// <summary>
-    /// Converts a collection of <see cref="Vector2D"/>s to an <see cref="AABB"/>.
-    /// </summary>
-    /// <param name="vectors">The collection of <see cref="Vector2D"/>s.</param>
-    /// <returns>An <see cref="AABB"/> that bounds all the <see cref="Vector2D"/>s.</returns>
+    /// <inheritdoc cref="AABB.ToAABB" />
     public static AABB ToAABB(this IEnumerable<Vector2D> vectors) => AABB.FromVectors(vectors);
 
-    /// <summary>
-    /// Checks if two <see cref="AABB"/>s are approximately equal.
-    /// </summary>
-    /// <param name="left">The first <see cref="AABB"/>.</param>
-    /// <param name="right">The second <see cref="AABB"/>.</param>
-    /// <returns><see cref="true"/> if the <see cref="AABB"/>s are approximately equal; otherwise, <see cref="false"/>.</returns>
-    public static bool ApproximatelyEquals(this AABB left, AABB right) => AABB.ApproximatelyEquals(left, right);
+    /// <inheritdoc cref="AABB.ApproximatelyEquals" />
+    public static bool ApproximatelyEquals(this AABB left, AABB right, float epsilon = float.Epsilon) => AABB.ApproximatelyEquals(left, right, epsilon);
 }

Engine.Core/Primitives/Circle.cs

@@ -1,9 +1,8 @@
 using System.Diagnostics;
 
-using Syntriax.Engine.Core;
 using Syntriax.Engine.Core.Abstract;
 
-namespace Syntriax.Engine.Physics2D.Primitives;
+namespace Syntriax.Engine.Core;
 
 /// <summary>
 /// Represents a 2D circle.
@@ -11,7 +10,7 @@ namespace Syntriax.Engine.Physics2D.Primitives;
 /// <param name="center">The center of the circle.</param>
 /// <param name="radius">The radius of the circle.</param>
 /// <remarks>
-/// Initializes a new instance of the Circle struct with the specified center and radius.
+/// Initializes a new instance of the <see cref="Circle"/> struct with the specified center and radius.
 /// </remarks>
 [DebuggerDisplay("Center: {Center.ToString(),nq}, Radius: {Radius}")]
 public readonly struct Circle(Vector2D center, float radius)
@@ -59,23 +58,27 @@ public readonly struct Circle(Vector2D center, float radius)
     /// <summary>
     /// Projects the <see cref="Circle"/> onto the specified <see cref="Vector2D"/>.
     /// </summary>
-    public static Projection Project(Circle circle, Vector2D projectionVector)
+    public static Projection1D Project(Circle circle, Vector2D projectionVector)
     {
         float projectedCenter = circle.Center.Dot(projectionVector);
         return new(projectedCenter - circle.Radius, projectedCenter + circle.Radius);
     }
 
     /// <summary>
-    /// Transforms the <see cref="Circle"/> by the specified <see cref="ITransform"/>.
+    /// Transforms the <see cref="Circle"/> by the specified <see cref="ITransform2D"/>.
     /// </summary>
-    public static Circle TransformCircle(ITransform transform, Circle circle)
-        => new(transform.TransformVector2D(circle.Center), circle.Radius * transform.Scale.Magnitude);
+    public static Circle Transform(ITransform2D transform, Circle circle)
+        => new(transform.Transform(circle.Center), circle.Radius * (transform.Scale.Magnitude / Vector2D.One.Magnitude));
 
     /// <summary>
     /// Checks if two <see cref="Circle"/>s are approximately equal.
     /// </summary>
-    public static bool ApproximatelyEquals(Circle left, Circle right)
-        => left.Center.ApproximatelyEquals(right.Center) && left.Radius.ApproximatelyEquals(right.Radius);
+    /// <param name="left">The first <see cref="Circle"/>.</param>
+    /// <param name="right">The second <see cref="Circle"/>.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns><see cref="true"/> if the <see cref="Circle"/>s are approximately equal; otherwise, <see cref="false"/>.</returns>
+    public static bool ApproximatelyEquals(Circle left, Circle right, float epsilon = float.Epsilon)
+        => left.Center.ApproximatelyEquals(right.Center, epsilon) && left.Radius.ApproximatelyEquals(right.Radius, epsilon);
 }
 
 /// <summary>
@@ -83,33 +86,24 @@ public readonly struct Circle(Vector2D center, float radius)
 /// </summary>
 public static class CircleExtensions
 {
-    /// <summary>
-    /// Sets the center of the <see cref="Circle"/>.
-    /// </summary>
+    /// <inheritdoc cref="Circle.SetCenter(Circle, Vector2D)" />
     public static Circle SetCenter(this Circle circle, Vector2D center) => Circle.SetCenter(circle, center);
 
-    /// <summary>
-    /// Sets the radius of the <see cref="Circle"/>.
-    /// </summary>
+    /// <inheritdoc cref="Circle.SetRadius(Circle, float)" />
     public static Circle SetRadius(this Circle circle, float radius) => Circle.SetRadius(circle, radius);
 
-    /// <summary>
-    /// Moves the <see cref="Circle"/> by the specified <see cref="Vector2D"/>.
-    /// </summary>
+    /// <inheritdoc cref="Circle.Displace(Circle, Vector2D)" />
     public static Circle Displace(this Circle circle, Vector2D displaceVector) => Circle.Displace(circle, displaceVector);
 
-    /// <summary>
-    /// Projects the <see cref="Circle"/> onto the specified <see cref="Vector2D"/>.
-    /// </summary>
-    public static Projection ToProjection(this Circle circle, Vector2D projectionVector) => Circle.Project(circle, projectionVector);
+    /// <inheritdoc cref="Circle.Project(Circle, Vector2D)" />
+    public static Projection1D ToProjection(this Circle circle, Vector2D projectionVector) => Circle.Project(circle, projectionVector);
 
-    /// <summary>
-    /// Transforms the <see cref="Circle"/> by the specified <see cref="ITransform"/>.
-    /// </summary>
-    public static Circle TransformCircle(this ITransform transform, Circle circle) => Circle.TransformCircle(transform, circle);
+    /// <inheritdoc cref="Circle.Transform(ITransform2D, Circle)" />
+    public static Circle Transform(this ITransform2D transform, Circle circle) => Circle.Transform(transform, circle);
 
-    /// <summary>
-    /// Checks if two <see cref="Circle"/>s are approximately equal.
-    /// </summary>
-    public static bool ApproximatelyEquals(this Circle left, Circle right) => Circle.ApproximatelyEquals(left, right);
+    /// <inheritdoc cref="Circle.Transform(ITransform2D, Circle)" />
+    public static Circle Transform(this Circle circle, ITransform2D transform) => Circle.Transform(transform, circle);
+
+    /// <inheritdoc cref="Circle.ApproximatelyEquals(Circle, Circle, float)" />
+    public static bool ApproximatelyEquals(this Circle left, Circle right, float epsilon = float.Epsilon) => Circle.ApproximatelyEquals(left, right, epsilon);
 }

Engine.Core/Primitives/Line2D.cs

@@ -1,74 +1,72 @@
 using System;
 using System.Diagnostics.CodeAnalysis;
 
-using Syntriax.Engine.Core;
-
-namespace Syntriax.Engine.Physics2D.Primitives;
+namespace Syntriax.Engine.Core;
 
 /// <summary>
 /// Represents a 2D line segment defined by two endpoints.
 /// </summary>
+/// <param name="from">The starting point of the <see cref="Line2D"/> segment.</param>
+/// <param name="to">The ending point of the <see cref="Line2D"/> segment.</param>
 /// <remarks>
-/// Initializes a new instance of the Line struct with the specified endpoints.
+/// Initializes a new instance of the <see cref="Line2D"/> struct with the specified endpoints.
 /// </remarks>
-/// <param name="from">The starting point of the <see cref="Line"/> segment.</param>
-/// <param name="to">The ending point of the <see cref="Line"/> segment.</param>
 [System.Diagnostics.DebuggerDisplay("From: {From.ToString(),nq}, To: {To.ToString(),nq}, Direction: {Direction.ToString(),nq}, Length: {Length}")]
-public readonly struct Line(Vector2D from, Vector2D to)
+public readonly struct Line2D(Vector2D from, Vector2D to)
 {
     /// <summary>
-    /// The starting point of the <see cref="Line"/> segment.
+    /// The starting point of the <see cref="Line2D"/> segment.
     /// </summary>
     public readonly Vector2D From = from;
 
     /// <summary>
-    /// The ending point of the <see cref="Line"/> segment.
+    /// The ending point of the <see cref="Line2D"/> segment.
     /// </summary>
     public readonly Vector2D To = to;
 
     /// <summary>
-    /// The reversed <see cref="Line"/> segment.
+    /// The reversed <see cref="Line2D"/> segment.
     /// </summary>
-    public readonly Line Reversed => new(To, From);
+    public readonly Line2D Reversed => new(To, From);
 
     /// <summary>
-    /// The normalized direction <see cref="Vector2D"/> of the <see cref="Line"/> segment.
+    /// The normalized direction <see cref="Vector2D"/> of the <see cref="Line2D"/> segment.
     /// </summary>
     public readonly Vector2D Direction => From.FromTo(To).Normalize();
 
     /// <summary>
-    /// The length of the <see cref="Line"/> segment.
+    /// The length of the <see cref="Line2D"/> segment.
     /// </summary>
     public readonly float Length => From.FromTo(To).Length();
 
     /// <summary>
-    /// The squared length of the <see cref="Line"/> segment.
+    /// The squared length of the <see cref="Line2D"/> segment.
     /// </summary>
     public readonly float LengthSquared => From.FromTo(To).LengthSquared();
 
     /// <summary>
-    /// The equation of the <see cref="Line"/> defined by this <see cref="Line"/> segment.
+    /// The equation of the <see cref="Line2D"/> defined by this <see cref="Line2D"/> segment.
     /// </summary>
-    public static LineEquation GetLineEquation(Line line)
+    public static Line2DEquation GetLineEquation(Line2D line)
     {
         Vector2D slopeVector = line.From.FromTo(line.To);
         float slope = slopeVector.Y / slopeVector.X;
 
         float yOffset = line.From.Y - (slope * line.From.X);
 
-        return new LineEquation(slope, yOffset);
+        return new Line2DEquation(slope, yOffset);
     }
 
     /// <summary>
-    /// Determines whether the specified <see cref="Vector2D"/> lies on the <see cref="Line"/>.
+    /// Determines whether the specified <see cref="Vector2D"/> lies on the <see cref="Line2D"/>.
     /// </summary>
-    public static bool Intersects(Line line, Vector2D point)
-        => LineEquation.Resolve(GetLineEquation(line), point.X).ApproximatelyEquals(point.Y);
+    public static bool Intersects(Line2D line, Vector2D point)
+        => Line2DEquation.Resolve(GetLineEquation(line), point.X).ApproximatelyEquals(point.Y);
 
     /// <summary>
-    /// Calculates the parameter 't' representing the point's position on the <see cref="Line"/> segment.
+    /// Calculates the parameter 't' representing the point's position on the <see cref="Line2D"/> segment.
     /// </summary>
-    public static float GetT(Line line, Vector2D point)
+    public static float GetT(Line2D line, Vector2D point)
     {
         float fromX = MathF.Abs(line.From.X);
         float toX = MathF.Abs(line.To.X);
@@ -91,9 +89,9 @@ public readonly struct Line(Vector2D from, Vector2D to)
     }
 
     /// <summary>
-    /// Checks if the <see cref="Line"/> segment intersects with another <see cref="Line"/> segment.
+    /// Checks if the <see cref="Line2D"/> segment intersects with another <see cref="Line2D"/> segment.
     /// </summary>
-    public static bool Intersects(Line left, Line right)
+    public static bool Intersects(Line2D left, Line2D right)
     {
         int o1 = Vector2D.Orientation(left.From, left.To, right.From);
         int o2 = Vector2D.Orientation(left.From, left.To, right.To);
@@ -112,9 +110,9 @@ public readonly struct Line(Vector2D from, Vector2D to)
     }
 
     /// <summary>
-    /// Checks if the point lies within the <see cref="Line"/> segment.
+    /// Checks if the point lies within the <see cref="Line2D"/> segment.
     /// </summary>
-    public static bool OnSegment(Line line, Vector2D point)
+    public static bool OnSegment(Line2D line, Vector2D point)
     {
         if (point.X <= MathF.Max(line.From.X, line.To.X) && point.X >= MathF.Min(line.From.X, line.To.X) &&
             point.Y <= MathF.Max(line.From.Y, line.To.Y) && point.Y >= MathF.Min(line.From.Y, line.To.Y))
@@ -124,9 +122,9 @@ public readonly struct Line(Vector2D from, Vector2D to)
     }
 
     /// <summary>
-    /// Determines whether two <see cref="Line"/> segments intersect.
+    /// Determines whether two <see cref="Line2D"/> segments intersect.
     /// </summary>
-    public static bool Intersects(Line left, Line right, [NotNullWhen(returnValue: true)] out Vector2D? point)
+    public static bool Intersects(Line2D left, Line2D right, [NotNullWhen(returnValue: true)] out Vector2D? point)
     {
         point = null;
 
@@ -139,15 +137,15 @@ public readonly struct Line(Vector2D from, Vector2D to)
     }
 
     /// <summary>
-    /// Finds the point of intersection between two <see cref="Line"/> segments.
+    /// Finds the point of intersection between two <see cref="Line2D"/> segments.
     /// </summary>
-    public static Vector2D IntersectionPoint(Line left, Line right)
+    public static Vector2D IntersectionPoint(Line2D left, Line2D right)
         => Vector2D.Lerp(left.From, left.To, IntersectionParameterT(left, right));
 
     /// <summary>
-    /// Calculates the parameter 't' representing the intersection point's position on the <see cref="Line"/> segment.
+    /// Calculates the parameter 't' representing the intersection point's position on the <see cref="Line2D"/> segment.
     /// </summary>
-    public static float IntersectionParameterT(Line left, Line right)
+    public static float IntersectionParameterT(Line2D left, Line2D right)
     {
         float numerator = (left.From.X - right.From.X) * (right.From.Y - right.To.Y) - (left.From.Y - right.From.Y) * (right.From.X - right.To.X);
         float denominator = (left.From.X - left.To.X) * (right.From.Y - right.To.Y) - (left.From.Y - left.To.Y) * (right.From.X - right.To.X);
@@ -160,30 +158,23 @@ public readonly struct Line(Vector2D from, Vector2D to)
     }
 
     /// <summary>
-    /// Linearly interpolates between the two endpoints of the <see cref="Line"/> segment using parameter 't'.
+    /// Linearly interpolates between the two endpoints of the <see cref="Line2D"/> segment using parameter 't'.
     /// </summary>
-    public static Vector2D Lerp(Line line, float t)
-        => new(
-            line.From.X + (line.To.X - line.From.X) * t,
-            line.From.Y + (line.To.Y - line.From.Y) * t
-        );
+    public static Vector2D Lerp(Line2D line, float t)
+        => Vector2D.Lerp(line.From, line.To, t);
 
     /// <summary>
-    /// Calculates the closest point on the <see cref="Line"/> segment to the specified point.
+    /// Calculates the closest point on the <see cref="Line2D"/> segment to the specified point.
     /// </summary>
-    public static Vector2D ClosestPointTo(Line line, Vector2D point)
+    public static Vector2D ClosestPointTo(Line2D line, Vector2D point)
     {
-        // Convert edge points to vectors
-        var edgeVector = new Vector2D(line.To.X - line.From.X, line.To.Y - line.From.Y);
-        var pointVector = new Vector2D(point.X - line.From.X, point.Y - line.From.Y);
+        Vector2D edgeVector = line.From.FromTo(line.To);
+        Vector2D pointVector = point - line.From;
 
-        // Calculate the projection of pointVector onto edgeVector
         float t = (pointVector.X * edgeVector.X + pointVector.Y * edgeVector.Y) / (edgeVector.X * edgeVector.X + edgeVector.Y * edgeVector.Y);
 
-        // Clamp t to the range [0, 1] to ensure the closest point is on the edge
         t = MathF.Max(0, MathF.Min(1, t));
 
-        // Calculate the closest point on the edge
         float closestX = line.From.X + t * edgeVector.X;
         float closestY = line.From.Y + t * edgeVector.Y;
 
@@ -191,19 +182,39 @@ public readonly struct Line(Vector2D from, Vector2D to)
     }
 
     /// <summary>
-    /// Checks if two <see cref="Line"/> segments are approximately equal.
+    /// Checks if two <see cref="Line2D"/> segments are approximately equal.
     /// </summary>
-    public static bool ApproximatelyEquals(Line left, Line right)
-        => left.From.ApproximatelyEquals(right.From) && left.To.ApproximatelyEquals(right.To);
+    /// <param name="left">The first <see cref="Line2D"/>.</param>
+    /// <param name="right">The second <see cref="Line2D"/>.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns><see cref="true"/> if the <see cref="Line2D"/>s are approximately equal; otherwise, <see cref="false"/>.</returns>
+    public static bool ApproximatelyEquals(Line2D left, Line2D right, float epsilon = float.Epsilon)
+        => left.From.ApproximatelyEquals(right.From, epsilon) && left.To.ApproximatelyEquals(right.To, epsilon);
 }
 
 /// <summary>
-/// Provides extension methods for the Line struct.
+/// Provides extension methods for the <see cref="Line2D"/> struct.
 /// </summary>
-public static class LineExtensions
+public static class Line2DExtensions
 {
-    /// <summary>
-    /// Checks if two <see cref="Line"/>s are approximately equal.
-    /// </summary>
-    public static bool ApproximatelyEquals(this Line left, Line right) => Line.ApproximatelyEquals(left, right);
+    /// <inheritdoc cref="Line2D.Lerp(Line2D, float)" />
+    public static Vector2D Lerp(this Line2D line, float t) => Line2D.Lerp(line, t);
+
+    /// <inheritdoc cref="Line2D.GetLineEquation(Line2D)" />
+    public static Line2DEquation ToLineEquation(this Line2D line) => Line2D.GetLineEquation(line);
+
+    /// <inheritdoc cref="Line2D.Intersects(Line2D, Vector2D)" />
+    public static bool Intersects(this Line2D line, Vector2D point) => Line2D.Intersects(line, point);
+
+    /// <inheritdoc cref="Line2D.GetT(Line2D, Vector2D)" />
+    public static float GetT(this Line2D line, Vector2D point) => Line2D.GetT(line, point);
+
+    /// <inheritdoc cref="Line2D.Intersects(Line2D, Line2D)" />
+    public static bool Intersects(this Line2D left, Line2D right) => Line2D.Intersects(left, right);
+
+    /// <inheritdoc cref="Line2D.Intersects(Line2D, Line2D, out Vector2D?)" />
+    public static bool Intersects(this Line2D left, Line2D right, [NotNullWhen(returnValue: true)] out Vector2D? point) => Line2D.Intersects(left, right, out point);
+
+    /// <inheritdoc cref="Line2D.ApproximatelyEquals(Line2D, Line2D, float)" />
+    public static bool ApproximatelyEquals(this Line2D left, Line2D right, float epsilon = float.Epsilon) => Line2D.ApproximatelyEquals(left, right, epsilon);
 }

Engine.Core/Primitives/Line2DEquation.cs

@@ -0,0 +1,53 @@
+namespace Syntriax.Engine.Core;
+
+/// <summary>
+/// Represents a line equation in the form y = mx + b.
+/// </summary>
+/// <param name="slope">The slope of the line.</param>
+/// <param name="offsetY">The y-intercept of the line.</param>
+/// <remarks>
+/// Initializes a new instance of the <see cref="Line2DEquation"/> struct with the specified slope and y-intercept.
+/// </remarks>
+[System.Diagnostics.DebuggerDisplay("y = {Slope}x + {OffsetY}")]
+public readonly struct Line2DEquation(float slope, float offsetY)
+{
+    /// <summary>
+    /// The slope of the line equation.
+    /// </summary>
+    public readonly float Slope = slope;
+
+    /// <summary>
+    /// The y-intercept of the line equation.
+    /// </summary>
+    public readonly float OffsetY = offsetY;
+
+    /// <summary>
+    /// Resolves the y-coordinate for a given x-coordinate using the line equation.
+    /// </summary>
+    /// <param name="lineEquation">The line equation to resolve.</param>
+    /// <param name="x">The x-coordinate for which to resolve the y-coordinate.</param>
+    /// <returns>The y-coordinate resolved using the line equation.</returns>
+    public static float Resolve(Line2DEquation lineEquation, float x) => lineEquation.Slope * x + lineEquation.OffsetY; // y = mx + b
+
+    /// <summary>
+    /// Checks if two line equations are approximately equal.
+    /// </summary>
+    /// <param name="left">The first line equation to compare.</param>
+    /// <param name="right">The second line equation to compare.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns>True if the line equations are approximately equal; otherwise, false.</returns>
+    public static bool ApproximatelyEquals(Line2DEquation left, Line2DEquation right, float epsilon = float.Epsilon)
+        => left.Slope.ApproximatelyEquals(right.Slope, epsilon) && left.OffsetY.ApproximatelyEquals(right.OffsetY, epsilon);
+}
+
+/// <summary>
+/// Provides extension methods for the LineEquation struct.
+/// </summary>
+public static class Line2DEquationExtensions
+{
+    /// <inheritdoc cref="Line2DEquation.Resolve(Line2DEquation, float)" />
+    public static float Resolve(this Line2DEquation lineEquation, float x) => Line2DEquation.Resolve(lineEquation, x);
+
+    /// <inheritdoc cref="Line2DEquation.ApproximatelyEquals(Line2DEquation, Line2DEquation, float)" />
+    public static bool ApproximatelyEquals(this Line2DEquation left, Line2DEquation right, float epsilon = float.Epsilon) => Line2DEquation.ApproximatelyEquals(left, right, epsilon);
+}

Engine.Core/Primitives/Projection1D.cs

@@ -1,4 +1,4 @@
-namespace Syntriax.Engine.Physics2D.Primitives;
+namespace Syntriax.Engine.Core;
 
 /// <summary>
 /// Represents a range of values along a single axis.
@@ -6,10 +6,10 @@ namespace Syntriax.Engine.Physics2D.Primitives;
 /// <param name="min">The minimum value of the projection.</param>
 /// <param name="max">The maximum value of the projection.</param>
 /// <remarks>
-/// Initializes a new instance of the <see cref="Projection"/> struct with the specified minimum and maximum values.
+/// Initializes a new instance of the <see cref="Projection1D"/> struct with the specified minimum and maximum values.
 /// </remarks>
 [System.Diagnostics.DebuggerDisplay("Min: {Min}, Max: {Max}")]
-public readonly struct Projection(float min, float max)
+public readonly struct Projection1D(float min, float max)
 {
     /// <summary>
     /// Gets the minimum value of the projection.
@@ -27,7 +27,7 @@ public readonly struct Projection(float min, float max)
     /// <param name="left">The first projection to check.</param>
     /// <param name="right">The second projection to check.</param>
     /// <returns><see cref="true"/> if the projections overlap; otherwise, <see cref="false"/>.</returns>
-    public static bool Overlaps(Projection left, Projection right) => Overlaps(left, right, out var _);
+    public static bool Overlaps(Projection1D left, Projection1D right) => Overlaps(left, right, out float _);
 
     /// <summary>
     /// Checks if two projections overlap and calculates the depth of the overlap.
@@ -36,7 +36,7 @@ public readonly struct Projection(float min, float max)
     /// <param name="right">The second projection to check.</param>
     /// <param name="depth">The depth of the overlap, if any.</param>
     /// <returns><see cref="true"/> if the projections overlap; otherwise, <see cref="false"/>.</returns>
-    public static bool Overlaps(Projection left, Projection right, out float depth)
+    public static bool Overlaps(Projection1D left, Projection1D right, out float depth)
     {
         // TODO Try to improve this
         bool rightMinInLeft = right.Min > left.Min && right.Min < left.Max;
@@ -73,24 +73,13 @@ public readonly struct Projection(float min, float max)
 }
 
 /// <summary>
-/// Provides extension methods for the <see cref="Projection"/> struct.
+/// Provides extension methods for the <see cref="Projection1D"/> struct.
 /// </summary>
-public static class ProjectionExtensions
+public static class Projection1DExtensions
 {
-    /// <summary>
-    /// Checks if two projections overlap.
-    /// </summary>
-    /// <param name="left">The first projection to check.</param>
-    /// <param name="right">The second projection to check.</param>
-    /// <returns><see cref="true"/> if the projections overlap; otherwise, <see cref="false"/>.</returns>
-    public static bool Overlaps(this Projection left, Projection right) => Projection.Overlaps(left, right);
+    /// <inheritdoc cref="Projection1D.Overlaps(Projection1D, Projection1D)" />
+    public static bool Overlaps(this Projection1D left, Projection1D right) => Projection1D.Overlaps(left, right);
 
-    /// <summary>
-    /// Checks if two projections overlap and calculates the depth of the overlap.
-    /// </summary>
-    /// <param name="left">The first projection to check.</param>
-    /// <param name="right">The second projection to check.</param>
-    /// <param name="depth">The depth of the overlap, if any.</param>
-    /// <returns><see cref="true"/> if the projections overlap; otherwise, <see cref="false"/>.</returns>
-    public static bool Overlaps(this Projection left, Projection right, out float depth) => Projection.Overlaps(left, right, out depth);
+    /// <inheritdoc cref="Projection1D.Overlaps(Projection1D, Projection1D, out float)" />
+    public static bool Overlaps(this Projection1D left, Projection1D right, out float depth) => Projection1D.Overlaps(left, right, out depth);
 }

Engine.Core/Primitives/Quaternion.cs

@@ -0,0 +1,359 @@
+using System;
+
+namespace Syntriax.Engine.Core;
+
+/// <summary>
+/// Represents a 3D space rotation.
+/// </summary>
+/// <param name="x">X(i) position of the <see cref="Quaternion"/>.</param>
+/// <param name="y">Y(j) position of the <see cref="Quaternion"/>.</param>
+/// <param name="z">Z(k) position of the <see cref="Quaternion"/>.</param>
+/// <param name="w">W(a) position of the <see cref="Quaternion"/>.</param>
+/// <remarks>
+/// Initializes a new instance of the <see cref="Quaternion"/> struct with the specified positions.
+/// </remarks>
+[System.Diagnostics.DebuggerDisplay("{ToString(),nq}, Length: {Magnitude}, LengthSquared: {MagnitudeSquared}, Normalized: {Normalized.ToString(),nq}")]
+public readonly struct Quaternion(float x, float y, float z, float w)
+{
+    /// <summary>
+    /// The X(i) imaginary of the <see cref="Quaternion"/>.
+    /// </summary>
+    public readonly float X = x;
+
+    /// <summary>
+    /// The Y(j) imaginary of the <see cref="Quaternion"/>.
+    /// </summary>
+    public readonly float Y = y;
+
+    /// <summary>
+    /// The Z(k) imaginary of the <see cref="Quaternion"/>.
+    /// </summary>
+    public readonly float Z = z;
+
+    /// <summary>
+    /// The W(a) scalar of the <see cref="Quaternion"/>.
+    /// </summary>
+    public readonly float W = w;
+
+    /// <summary>
+    /// The magnitude (length) of the <see cref="Quaternion"/>.
+    /// </summary>
+    public float Magnitude => Length(this);
+
+    /// <summary>
+    /// The squared magnitude (length) of the <see cref="Quaternion"/>.
+    /// </summary>
+    public float MagnitudeSquared => LengthSquared(this);
+
+    /// <summary>
+    /// The normalized form of the <see cref="Quaternion"/> (a <see cref="Quaternion"/> with the same direction and a magnitude of 1).
+    /// </summary>
+    public Quaternion Normalized => Normalize(this);
+
+    /// <summary>
+    /// Represents the <see cref="Quaternion"/> with no rotation.
+    /// </summary>
+    public readonly static Quaternion Zero = new(0f, 0f, 0f, 0f);
+
+    /// <summary>
+    /// Represents the identity <see cref="Quaternion"/>.
+    /// </summary>
+    public readonly static Quaternion Identity = new(0f, 0f, 0f, 1f);
+
+    public static Quaternion operator -(Quaternion quaternion) => new(-quaternion.X, -quaternion.Y, -quaternion.Z, quaternion.W);
+    public static Quaternion operator +(Quaternion left, Quaternion right) => new(left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W);
+    public static Quaternion operator -(Quaternion left, Quaternion right) => new(left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W);
+    public static Quaternion operator *(Quaternion quaternion, float value) => new(quaternion.X * value, quaternion.Y * value, quaternion.Z * value, quaternion.W * value);
+    public static Quaternion operator *(float value, Quaternion quaternion) => new(quaternion.X * value, quaternion.Y * value, quaternion.Z * value, quaternion.W * value);
+    public static Quaternion operator *(Quaternion left, Quaternion right)
+        => new(
+            left.W * right.X + left.X * right.W + left.Y * right.Z - left.Z * right.Y,
+            left.W * right.Y + left.Y * right.W + left.Z * right.X - left.X * right.Z,
+            left.W * right.Z + left.Z * right.W + left.X * right.Y - left.Y * right.X,
+            left.W * right.W - left.X * right.X - left.Y * right.Y - left.Z * right.Z
+        );
+    public static Quaternion operator /(Quaternion quaternion, float value) => new(quaternion.X / value, quaternion.Y / value, quaternion.Z / value, quaternion.W / value);
+    public static bool operator ==(Quaternion left, Quaternion right) => left.X == right.X && left.Y == right.Y && left.Z == right.Z && left.W == right.W;
+    public static bool operator !=(Quaternion left, Quaternion right) => left.X != right.X || left.Y != right.Y || left.Z != right.Z || left.W != right.W;
+
+    public static implicit operator Quaternion(System.Numerics.Quaternion quaternion) => new(quaternion.X, quaternion.Y, quaternion.Z, quaternion.W);
+    public static implicit operator System.Numerics.Quaternion(Quaternion quaternion) => new(quaternion.X, quaternion.Y, quaternion.Z, quaternion.W);
+
+    /// <summary>
+    /// Calculates the length of the <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/>.</param>
+    /// <returns>The length of the <see cref="Quaternion"/>.</returns>
+    public static float Length(Quaternion quaternion) => Math.Sqrt(LengthSquared(quaternion));
+
+    /// <summary>
+    /// Calculates the squared length of the <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/>.</param>
+    /// <returns>The squared length of the <see cref="Quaternion"/>.</returns>
+    public static float LengthSquared(Quaternion quaternion) => quaternion.X * quaternion.X + quaternion.Y * quaternion.Y + quaternion.Z * quaternion.Z + quaternion.Z * quaternion.Z + quaternion.W * quaternion.W;
+
+    /// <summary>
+    /// Adds two <see cref="Quaternion"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Quaternion"/>.</param>
+    /// <param name="right">The second <see cref="Quaternion"/>.</param>
+    /// <returns>The sum of the two <see cref="Quaternion"/>s.</returns>
+    public static Quaternion Add(Quaternion left, Quaternion right) => left + right;
+
+    /// <summary>
+    /// Subtracts one <see cref="Quaternion"/> from another.
+    /// </summary>
+    /// <param name="left">The <see cref="Quaternion"/> to subtract from.</param>
+    /// <param name="right">The <see cref="Quaternion"/> to subtract.</param>
+    /// <returns>The result of subtracting the second <see cref="Quaternion"/> from the first.</returns>
+    public static Quaternion Subtract(Quaternion left, Quaternion right) => left - right;
+
+    /// <summary>
+    /// Multiplies a <see cref="Quaternion"/> by a scalar value.
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/>.</param>
+    /// <param name="value">The scalar value.</param>
+    /// <returns>The result of multiplying the <see cref="Quaternion"/> by the scalar value.</returns>
+    public static Quaternion Multiply(Quaternion quaternion, float value) => quaternion * value;
+
+    /// <summary>
+    /// Divides a <see cref="Quaternion"/> by a scalar value.
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/>.</param>
+    /// <param name="value">The scalar value.</param>
+    /// <returns>The result of dividing the <see cref="Quaternion"/> by the scalar value.</returns>
+    public static Quaternion Divide(Quaternion quaternion, float value) => quaternion / value;
+
+    /// <summary>
+    /// Normalizes the <see cref="Quaternion"/> (creates a unit <see cref="Quaternion"/> with the same direction).
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/> to normalize.</param>
+    /// <returns>The normalized <see cref="Quaternion"/>.</returns>
+    public static Quaternion Normalize(Quaternion quaternion) => quaternion / Length(quaternion);
+
+    /// <summary>
+    /// Inverts the direction of the <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/>.</param>
+    /// <returns>The inverted <see cref="Quaternion"/>.</returns>
+    public static Quaternion Invert(Quaternion quaternion) => Conjugate(quaternion) / LengthSquared(quaternion);
+
+    /// <summary>
+    /// Conjugate of the <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="quaternion">The <see cref="Quaternion"/>.</param>
+    /// <returns>The inverted <see cref="Quaternion"/>.</returns>
+    public static Quaternion Conjugate(Quaternion quaternion) => -quaternion;
+
+    /// <summary>
+    /// Rotates a <see cref="Vector3D"/> by applying the provided <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/> to be rotated.</param>
+    /// <param name="quaternion">The <see cref="Quaternion"/> to used for applying rotation.</param>
+    /// <returns>The rotated <see cref="Vector3D"/>.</returns>
+    public static Vector3D RotateVector(Vector3D vector, Quaternion quaternion)
+    {
+        Quaternion rotation = quaternion * new Quaternion(vector.X, vector.Y, vector.Z, 0) * Invert(quaternion);
+        return new(rotation.X, rotation.Y, rotation.Z);
+    }
+
+    /// <summary>
+    /// Performs spherical linear interpolation between two <see cref="Quaternion"/>s.
+    /// </summary>
+    /// <param name="from">The starting <see cref="Quaternion"/> (t = 0).</param>
+    /// <param name="to">The target <see cref="Quaternion"/> (t = 1).</param>
+    /// <param name="t">The interpolation parameter.</param>
+    /// <returns>The interpolated <see cref="Quaternion"/>.</returns>
+    public static Quaternion SLerp(Quaternion from, Quaternion to, float t)
+    {
+        float dot = Dot(from, to);
+
+        if (dot < 0.0f)
+        {
+            from = new Quaternion(-from.X, -from.Y, -from.Z, -from.W);
+            dot = -dot;
+        }
+
+        if (dot > 0.9995f)
+            return Lerp(from, to, t);
+
+        float angle = MathF.Acos(dot);
+        float sinAngle = MathF.Sin(angle);
+
+        float fromWeight = MathF.Sin((1f - t) * angle) / sinAngle;
+        float toWeight = MathF.Sin(t * angle) / sinAngle;
+
+        return from * fromWeight + to * toWeight;
+    }
+
+    /// <summary>
+    /// Performs linear interpolation between two <see cref="Quaternion"/>s.
+    /// </summary>
+    /// <param name="from">The starting <see cref="Quaternion"/> (t = 0).</param>
+    /// <param name="to">The target <see cref="Quaternion"/> (t = 1).</param>
+    /// <param name="t">The interpolation parameter.</param>
+    /// <returns>The interpolated <see cref="Quaternion"/>.</returns>
+    public static Quaternion Lerp(Quaternion from, Quaternion to, float t) => Normalize(new(from.X.Lerp(to.X, t), from.W.Lerp(to.W, t), from.Z.Lerp(to.Z, t), from.W.Lerp(to.W, t)));
+
+    /// <summary>
+    /// Calculates the dot product of two <see cref="Quaternion"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Quaternion"/>.</param>
+    /// <param name="right">The second <see cref="Quaternion"/>.</param>
+    /// <returns>The dot product of the two <see cref="Quaternion"/>s.</returns>
+    public static float Dot(Quaternion left, Quaternion right) => left.X * right.X + left.Y * right.Y + left.Z * right.Z + left.W * right.W;
+
+    /// <summary>
+    /// Calculates the <see cref="Quaternion"/> from given axis and angle.
+    /// </summary>
+    /// <param name="axis">The axis of the rotation in <see cref="Vector3D"/>.</param>
+    /// <param name="angle">The angle in radians.</param>
+    /// <returns>The rotation <see cref="Quaternion"/> calculated by the given parameters.</returns>
+    public static Quaternion FromAxisAngle(Vector3D axis, float angle)
+    {
+        float halfAngle = angle * .5f;
+        float sinHalf = MathF.Sin(halfAngle);
+        return new Quaternion(axis.X * sinHalf, axis.Y * sinHalf, axis.Z * sinHalf, MathF.Cos(halfAngle));
+    }
+
+    /// <summary>
+    /// Calculates the <see cref="Quaternion"/> from given yaw, pitch and roll values.
+    /// </summary>
+    /// <returns>The rotation <see cref="Quaternion"/> calculated by the given parameters.</returns>
+    public static Quaternion FromAngles(float x, float y, float z)
+    {
+        float cosX = Math.Cos(x * .5f);
+        float sinX = Math.Sin(x * .5f);
+        float cosY = Math.Cos(y * .5f);
+        float sinY = Math.Sin(y * .5f);
+        float cozZ = Math.Cos(z * .5f);
+        float sinZ = Math.Sin(z * .5f);
+
+        return new Quaternion(
+            x: sinX * cosY * cozZ - cosX * sinY * sinZ,
+            y: cosX * sinY * cozZ + sinX * cosY * sinZ,
+            z: cosX * cosY * sinZ - sinX * sinY * cozZ,
+            w: cosX * cosY * cozZ + sinX * sinY * sinZ
+        );
+    }
+
+    /// <summary>
+    /// Calculates the <see cref="System.Numerics.Matrix4x4"/> from given <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="axis">The axis of the rotation in <see cref="Vector3D"/>.</param>
+    /// <param name="angle">The angle in radians.</param>
+    /// <returns>The rotation <see cref="System.Numerics.Matrix4x4"/> calculated by the given <see cref="Quaternion"/>.</returns>
+    public static System.Numerics.Matrix4x4 ToRotationMatrix4x4(Quaternion quaternion)
+    {
+        float m00 = 1 - 2 * (quaternion.Y * quaternion.Y + quaternion.Z * quaternion.Z);
+        float m01 = 2 * (quaternion.X * quaternion.Y - quaternion.W * quaternion.Z);
+        float m02 = 2 * (quaternion.X * quaternion.Z + quaternion.W * quaternion.Y);
+        float m03 = 0;
+
+        float m10 = 2 * (quaternion.X * quaternion.Y + quaternion.W * quaternion.Z);
+        float m11 = 1 - 2 * (quaternion.X * quaternion.X + quaternion.Z * quaternion.Z);
+        float m12 = 2 * (quaternion.Y * quaternion.Z - quaternion.W * quaternion.X);
+        float m13 = 0;
+
+        float m20 = 2 * (quaternion.X * quaternion.Z - quaternion.W * quaternion.Y);
+        float m21 = 2 * (quaternion.Y * quaternion.Z + quaternion.W * quaternion.X);
+        float m22 = 1 - 2 * (quaternion.X * quaternion.X + quaternion.Y * quaternion.Y);
+        float m23 = 0;
+
+        float m30 = 0;
+        float m31 = 0;
+        float m32 = 0;
+        float m33 = 1;
+
+        return new(
+            m00, m01, m02, m03,
+            m10, m11, m12, m13,
+            m20, m21, m22, m23,
+            m30, m31, m32, m33
+        );
+    }
+
+    /// <summary>
+    /// Checks if two <see cref="Quaternion"/>s are approximately equal within a specified epsilon range.
+    /// </summary>
+    /// <param name="left">The first <see cref="Quaternion"/>.</param>
+    /// <param name="right">The second <see cref="Quaternion"/>.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns><see cref="true"/> if the <see cref="Quaternion"/>s are approximately equal; otherwise, <see cref="false"/>.</returns>
+    public static bool ApproximatelyEquals(Quaternion left, Quaternion right, float epsilon = float.Epsilon)
+        => left.X.ApproximatelyEquals(right.X, epsilon) && left.Y.ApproximatelyEquals(right.Y, epsilon) && left.Z.ApproximatelyEquals(right.Z, epsilon) && left.W.ApproximatelyEquals(right.W, epsilon);
+
+    /// <summary>
+    /// Converts the <see cref="Quaternion"/> to its string representation.
+    /// </summary>
+    /// <returns>A string representation of the <see cref="Quaternion"/>.</returns>
+    public override string ToString() => $"{nameof(Quaternion)}({W}, {X}, {Y}, {Z})";
+
+    /// <summary>
+    /// Determines whether the specified object is equal to the current <see cref="Quaternion"/>.
+    /// </summary>
+    /// <param name="obj">The object to compare with the current <see cref="Quaternion"/>.</param>
+    /// <returns><see cref="true"/> if the specified object is equal to the current <see cref="Quaternion"/>; otherwise, <see cref="false"/>.</returns>
+    public override bool Equals(object? obj) => obj is Quaternion objVec && X.Equals(objVec.X) && Y.Equals(objVec.Y) && Z.Equals(objVec.Z) && W.Equals(objVec.W);
+
+    /// <summary>
+    /// Generates a hash code for the <see cref="Quaternion"/>.
+    /// </summary>
+    /// <returns>A hash code for the <see cref="Quaternion"/>.</returns>
+    public override int GetHashCode() => HashCode.Combine(X, Y, Z);
+}
+
+/// <summary>
+/// Provides extension methods for <see cref="Quaternion"/> type.
+/// </summary>
+public static class QuaternionExtensions
+{
+    /// <inheritdoc cref="Quaternion.Length(Quaternion)" />
+    public static float Length(this Quaternion quaternion) => Quaternion.Length(quaternion);
+
+    /// <inheritdoc cref="Quaternion.LengthSquared(Quaternion)" />
+    public static float LengthSquared(this Quaternion quaternion) => Quaternion.LengthSquared(quaternion);
+
+    /// <inheritdoc cref="Quaternion.Add(Quaternion, Quaternion)" />
+    public static Quaternion Add(this Quaternion left, Quaternion right) => Quaternion.Add(left, right);
+
+    /// <inheritdoc cref="Quaternion.Subtract(Quaternion, Quaternion)" />
+    public static Quaternion Subtract(this Quaternion left, Quaternion right) => Quaternion.Subtract(left, right);
+
+    /// <inheritdoc cref="Quaternion.Multiply(Quaternion, float)" />
+    public static Quaternion Multiply(this Quaternion quaternion, float value) => Quaternion.Multiply(quaternion, value);
+
+    /// <inheritdoc cref="Quaternion.Divide(Quaternion, float)" />
+    public static Quaternion Divide(this Quaternion quaternion, float value) => Quaternion.Divide(quaternion, value);
+
+    /// <inheritdoc cref="Quaternion.Normalize(Quaternion)" />
+    public static Quaternion Normalize(this Quaternion quaternion) => Quaternion.Normalize(quaternion);
+
+    /// <inheritdoc cref="Quaternion.Invert(Quaternion)" />
+    public static Quaternion Invert(this Quaternion quaternion) => Quaternion.Invert(quaternion);
+
+    /// <inheritdoc cref="Quaternion.Conjugate(Quaternion)" />
+    public static Quaternion Conjugate(this Quaternion quaternion) => Quaternion.Conjugate(quaternion);
+
+    /// <inheritdoc cref="Quaternion.RotateVector(Vector3D, Quaternion)" />
+    public static Vector3D RotateVector(this Vector3D vector, Quaternion quaternion) => Quaternion.RotateVector(vector, quaternion);
+
+    /// <inheritdoc cref="Quaternion.SLerp(Quaternion, Quaternion, float)" />
+    public static Quaternion SLerp(this Quaternion from, Quaternion to, float t) => Quaternion.SLerp(from, to, t);
+
+    /// <inheritdoc cref="Quaternion.Lerp(Quaternion, Quaternion, float)" />
+    public static Quaternion Lerp(this Quaternion from, Quaternion to, float t) => Quaternion.Lerp(from, to, t);
+
+    /// <inheritdoc cref="Quaternion.Dot(Quaternion, Quaternion)" />
+    public static float Dot(this Quaternion left, Quaternion right) => Quaternion.Dot(left, right);
+
+    /// <inheritdoc cref="Quaternion.ToRotationMatrix4x4(Quaternion, Quaternion)" />
+    public static System.Numerics.Matrix4x4 ToRotationMatrix4x4(this Quaternion quaternion) => Quaternion.ToRotationMatrix4x4(quaternion);
+
+    /// <inheritdoc cref="Quaternion.FromAxisAngle(Vector3D, float)" />
+    public static Quaternion CreateRotation(this Vector3D axis, float angle) => Quaternion.FromAxisAngle(axis, angle);
+
+    /// <inheritdoc cref="Quaternion.ApproximatelyEquals(Quaternion, Quaternion, float)" />
+    public static bool ApproximatelyEquals(this Quaternion left, Quaternion right, float epsilon = float.Epsilon) => Quaternion.ApproximatelyEquals(left, right, epsilon);
+}

Engine.Core/Primitives/Shape2D.cs

@@ -0,0 +1,290 @@
+using System.Collections;
+using System.Collections.Generic;
+
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+/// <summary>
+/// Represents a shape defined by a collection of vertices.
+/// </summary>
+/// <param name="vertices">The vertices of the shape.</param>
+/// <remarks>
+/// Initializes a new instance of a <see cref="Shape2D"/> struct with the specified vertices.
+/// </remarks>
+[System.Diagnostics.DebuggerDisplay("Vertices Count: {Vertices.Count}")]
+public readonly struct Shape2D(List<Vector2D> vertices) : IEnumerable<Vector2D>
+{
+    public static readonly Shape2D Triangle = CreateNgon(3, Vector2D.Up);
+    public static readonly Shape2D Square = CreateNgon(4, Vector2D.One);
+    public static readonly Shape2D Pentagon = CreateNgon(5, Vector2D.Up);
+    public static readonly Shape2D Hexagon = CreateNgon(6, Vector2D.Right);
+
+    private readonly List<Vector2D> _verticesList = vertices;
+
+    /// <summary>
+    /// Gets the vertices of the <see cref="Shape2D"/>.
+    /// </summary>
+    public IReadOnlyList<Vector2D> Vertices => _verticesList;
+
+    /// <summary>
+    /// The vertex at the specified index.
+    /// </summary>
+    /// <param name="index">The zero-based index of the vertex to get or set.</param>
+    /// <returns>The vertex at the specified index.</returns>
+    public Vector2D this[System.Index index] => Vertices[index];
+
+    /// <summary>
+    /// Returns a copy of the current <see cref="Shape2D"/>.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to copy.</param>
+    /// <returns>A copy of the input <see cref="Shape2D"/>.</returns>
+    public static Shape2D CreateCopy(Shape2D shape) => new(new List<Vector2D>(shape.Vertices));
+
+    /// <summary>
+    /// Creates a regular polygon (ngon) with the specified number of vertices.
+    /// </summary>
+    /// <param name="vertexCount">The number of vertices in the polygon.</param>
+    /// <returns>A regular polygon with the specified number of vertices.</returns>
+    public static Shape2D CreateNgon(int vertexCount) => CreateNgon(vertexCount, Vector2D.Up);
+
+    /// <summary>
+    /// Creates a regular polygon (ngon) with the specified number of vertices and a rotation position.
+    /// </summary>
+    /// <param name="vertexCount">The number of vertices in the polygon.</param>
+    /// <param name="positionToRotate">The position to use for rotation.</param>
+    /// <returns>A regular polygon with the specified number of vertices and rotation position.</returns>
+    public static Shape2D CreateNgon(int vertexCount, Vector2D positionToRotate)
+    {
+        if (vertexCount < 3)
+            throw new System.ArgumentException($"{nameof(vertexCount)} must have a value of more than 2.");
+
+        List<Vector2D> vertices = new(vertexCount);
+
+        float radiansPerVertex = 360f / vertexCount * Math.DegreeToRadian;
+
+        for (int i = 0; i < vertexCount; i++)
+            vertices.Add(positionToRotate.Rotate(i * radiansPerVertex));
+
+        return new(vertices);
+    }
+
+    /// <summary>
+    /// Gets the super triangle that encloses the given <see cref="Shape2D"/>.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to enclose.</param>
+    /// <returns>The super triangle that encloses the given <see cref="Shape2D"/>.</returns>
+    public static Triangle GetSuperTriangle(Shape2D shape)
+    {
+        float minX = float.MaxValue, minY = float.MaxValue;
+        float maxX = float.MinValue, maxY = float.MinValue;
+
+        foreach (Vector2D point in shape.Vertices)
+        {
+            minX = Math.Min(minX, point.X);
+            minY = Math.Min(minY, point.Y);
+            maxX = Math.Max(maxX, point.X);
+            maxY = Math.Max(maxY, point.Y);
+        }
+
+        float dx = maxX - minX;
+        float dy = maxY - minY;
+        float deltaMax = Math.Max(dx, dy);
+        float midX = (minX + maxX) / 2;
+        float midY = (minY + maxY) / 2;
+
+        Vector2D p1 = new((float)midX - 20f * (float)deltaMax, (float)midY - (float)deltaMax);
+        Vector2D p2 = new((float)midX, (float)midY + 20 * (float)deltaMax);
+        Vector2D p3 = new((float)midX + 20 * (float)deltaMax, (float)midY - (float)deltaMax);
+
+        return new Triangle(p1, p2, p3);
+    }
+
+    /// <summary>
+    /// Triangulates the given convex <see cref="Shape2D"/>.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to triangulate.</param>
+    /// <param name="triangles">The list to populate with triangles.</param>
+    public static void TriangulateConvex(Shape2D shape, IList<Triangle> triangles)
+    {
+        triangles.Clear();
+
+        for (int i = 2; i < shape.Vertices.Count; i++)
+            triangles.Add(new Triangle(shape[0], shape[i - 1], shape[i]));
+    }
+
+    /// <summary>
+    /// Triangulates the given convex <see cref="Shape2D"/>.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to triangulate.</param>
+    /// <returns>A list of <see cref="Triangle"/>s that makes up the given convex <see cref="Shape2D"/>.</returns>
+    public static List<Triangle> TriangulateConvex(Shape2D shape)
+    {
+        List<Triangle> triangles = new(shape.Vertices.Count - 2);
+        TriangulateConvex(shape, triangles);
+        return triangles;
+    }
+
+    /// <summary>
+    /// Gets the <see cref="Line2D"/>s that form the edges of the <see cref="Shape2D"/>.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to get <see cref="Line2D"/>s from.</param>
+    /// <param name="lines">The list to populate with <see cref="Line2D"/>.</sparam>
+    public static void GetLines(Shape2D shape, IList<Line2D> lines)
+    {
+        lines.Clear();
+        for (int i = 0; i < shape.Vertices.Count - 1; i++)
+            lines.Add(new(shape.Vertices[i], shape.Vertices[i + 1]));
+        lines.Add(new(shape.Vertices[^1], shape.Vertices[0]));
+    }
+
+    /// <summary>
+    /// Gets a list of <see cref="Line2D"/>s that form the edges of the <see cref="Shape2D"/>.
+    /// </summary>
+    /// <param name="shape">The shape to get <see cref="Line2D"/>s from.</param>
+    /// <returns>A list of <see cref="Line2D"/>s that form the edges of the <see cref="Shape2D"/>.</returns>
+    public static List<Line2D> GetLines(Shape2D shape)
+    {
+        List<Line2D> lines = new(shape.Vertices.Count - 1);
+        GetLines(shape, lines);
+        return lines;
+    }
+
+    /// <summary>
+    /// Projects the <see cref="Shape2D"/> onto a 1D plane.
+    /// </summary>
+    /// <param name="shape">The shape to project.</param>
+    /// <param name="projectionVector">The vector to project onto.</param>
+    /// <param name="list">The list to populate with projected values.</param>
+    public static void Project(Shape2D shape, Vector2D projectionVector, IList<float> list)
+    {
+        list.Clear();
+
+        int count = shape.Vertices.Count;
+        for (int i = 0; i < count; i++)
+            list.Add(projectionVector.Dot(shape[i]));
+    }
+
+    /// <summary>
+    /// Projects the <see cref="Shape2D"/> onto a vector.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to project.</param>
+    /// <param name="projectionVector">The vector to project onto.</param>
+    /// <returns>The projection of the <see cref="Shape2D"/> onto the vector.</returns>
+    public static Projection1D Project(Shape2D shape, Vector2D projectionVector)
+    {
+        float min = float.MaxValue;
+        float max = float.MinValue;
+
+        for (int i = 0; i < shape.Vertices.Count; i++)
+        {
+            float projectedLength = projectionVector.Dot(shape.Vertices[i]);
+            min = Math.Min(projectedLength, min);
+            max = Math.Max(projectedLength, max);
+        }
+
+        return new(min, max);
+    }
+
+    /// <summary>
+    /// Transforms the <see cref="Shape2D"/> using the specified <see cref="ITransform2D"/>.
+    /// </summary>
+    /// <param name="shape">The <see cref="Shape2D"/> to transform.</param>
+    /// <param name="transform">The <see cref="ITransform2D"/> to apply.</param>
+    /// <returns>The transformed <see cref="Shape2D"/>.</returns>
+    public static Shape2D Transform(Shape2D shape, ITransform2D transform)
+    {
+        List<Vector2D> vertices = new(shape.Vertices.Count);
+
+        int count = shape.Vertices.Count;
+        for (int i = 0; i < count; i++)
+            vertices.Add(transform.Transform(shape[i]));
+
+        return new Shape2D(vertices);
+    }
+
+    /// <summary>
+    /// Transforms the <see cref="Shape2D"/> using the specified <see cref="ITransform2D"/>.
+    /// </summary>
+    /// <param name="from">The <see cref="Shape2D"/> to transform.</param>
+    /// <param name="transform">The <see cref="ITransform2D"/> to apply.</param>
+    /// <param name="to">The transformed <see cref="Shape2D"/>.</param>
+    public static void Transform(Shape2D from, ITransform2D transform, ref Shape2D to)
+    {
+        to._verticesList.Clear();
+
+        int count = from._verticesList.Count;
+        for (int i = 0; i < count; i++)
+            to._verticesList.Add(transform.Transform(from[i]));
+    }
+
+    /// <summary>
+    /// Determines whether two <see cref="Shape2D"/>s are approximately equal.
+    /// </summary>
+    /// <param name="left">The first <see cref="Shape2D"/> to compare.</param>
+    /// <param name="right">The second <see cref="Shape2D"/> to compare.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns><c>true</c> if the <see cref="Shape2D"/>s are approximately equal; otherwise, <c>false</c>.</returns>
+    public static bool ApproximatelyEquals(Shape2D left, Shape2D right, float epsilon = float.Epsilon)
+    {
+        if (left.Vertices.Count != right.Vertices.Count)
+            return false;
+
+        for (int i = 0; i < left.Vertices.Count; i++)
+            if (!left.Vertices[i].ApproximatelyEquals(right.Vertices[i], epsilon))
+                return false;
+
+        return true;
+    }
+
+    /// <inheritdoc/>
+    public IEnumerator<Vector2D> GetEnumerator() => Vertices.GetEnumerator();
+
+    /// <inheritdoc/>
+    IEnumerator IEnumerable.GetEnumerator() => Vertices.GetEnumerator();
+}
+
+/// <summary>
+/// Provides extension methods for the <see cref="Shape2D"/> struct.
+/// </summary>
+public static class Shape2DExtensions
+{
+    /// <inheritdoc cref="Shape2D.CreateCopy(Shape2D)" />
+    public static Shape2D CreateCopy(this Shape2D shape) => Shape2D.CreateCopy(shape);
+
+    /// <inheritdoc cref="Shape2D.GetSuperTriangle(Shape2D)" />
+    public static Triangle ToSuperTriangle(this Shape2D shape) => Shape2D.GetSuperTriangle(shape);
+
+    /// <inheritdoc cref="Shape2D.TriangulateConvex(Shape2D, IList{Triangle})" />
+    public static void ToTrianglesConvex(this Shape2D shape, IList<Triangle> lines) => Shape2D.TriangulateConvex(shape, lines);
+
+    /// <inheritdoc cref="Shape2D.TriangulateConvex(Shape2D)" />
+    public static List<Triangle> ToTrianglesConvex(this Shape2D shape) => Shape2D.TriangulateConvex(shape);
+
+    /// <inheritdoc cref="Shape2D.GetLines(Shape2D, IList{Line2D})" />
+    public static void ToLines(this Shape2D shape, IList<Line2D> lines) => Shape2D.GetLines(shape, lines);
+
+    /// <inheritdoc cref="Shape2D.GetLines(Shape2D)" />
+    public static List<Line2D> ToLines(this Shape2D shape) => Shape2D.GetLines(shape);
+
+    /// <inheritdoc cref="Shape2D.Project(Shape2D, Vector2D, IList{float})" />
+    public static void ToProjection(this Shape2D shape, Vector2D projectionVector, IList<float> list) => Shape2D.Project(shape, projectionVector, list);
+
+    /// <inheritdoc cref="Shape2D.Project(Shape2D, Vector2D)" />
+    public static Projection1D ToProjection(this Shape2D shape, Vector2D projectionVector) => Shape2D.Project(shape, projectionVector);
+
+    /// <inheritdoc cref="Shape2D.Transform(Shape2D, ITransform2D)" />
+    public static Shape2D Transform(this ITransform2D transform, Shape2D shape) => Shape2D.Transform(shape, transform);
+
+    /// <inheritdoc cref="Shape2D.Transform(Shape2D, ITransform2D, Shape2D)" />
+    public static void Transform(this ITransform2D transform, Shape2D from, ref Shape2D to) => Shape2D.Transform(from, transform, ref to);
+
+    /// <inheritdoc cref="Shape2D.Transform(Shape2D, ITransform2D)" />
+    public static Shape2D Transform(this Shape2D shape, ITransform2D transform) => Shape2D.Transform(shape, transform);
+
+    /// <inheritdoc cref="Shape2D.Transform(Shape2D, ITransform2D, ref Shape2D)" />
+    public static void Transform(this Shape2D from, ITransform2D transform, ref Shape2D to) => Shape2D.Transform(from, transform, ref to);
+
+    /// <inheritdoc cref="Shape2D.ApproximatelyEquals(Shape2D, Shape2D, float)" />
+    public static bool ApproximatelyEquals(this Shape2D left, Shape2D right, float epsilon = float.Epsilon) => Shape2D.ApproximatelyEquals(left, right, epsilon);
+}

Engine.Core/Primitives/Triangle.cs

@@ -1,8 +1,6 @@
 using System;
 
-using Syntriax.Engine.Core;
-
-namespace Syntriax.Engine.Physics2D.Primitives;
+namespace Syntriax.Engine.Core;
 
 [System.Diagnostics.DebuggerDisplay("A: {A.ToString(), nq}, B: {B.ToString(), nq}, B: {C.ToString(), nq}")]
 public readonly struct Triangle(Vector2D A, Vector2D B, Vector2D C)
@@ -39,11 +37,19 @@ public readonly struct Triangle(Vector2D A, Vector2D B, Vector2D C)
         return new(center, Vector2D.Distance(center, triangle.A));
     }
 
-    public static bool ApproximatelyEquals(Triangle left, Triangle right)
-        => left.A.ApproximatelyEquals(right.A) && left.B.ApproximatelyEquals(right.B) && left.C.ApproximatelyEquals(right.C);
+    /// <summary>
+    /// Determines whether two <see cref="Triangle"/>s are approximately equal.
+    /// </summary>
+    /// <param name="left">The first <see cref="Triangle"/> to compare.</param>
+    /// <param name="right">The second <see cref="Triangle"/> to compare.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns><c>true</c> if the <see cref="Triangle"/>s are approximately equal; otherwise, <c>false</c>.</returns>
+    public static bool ApproximatelyEquals(Triangle left, Triangle right, float epsilon = float.Epsilon)
+        => left.A.ApproximatelyEquals(right.A, epsilon) && left.B.ApproximatelyEquals(right.B, epsilon) && left.C.ApproximatelyEquals(right.C, epsilon);
 }
 
 public static class TriangleExtensions
 {
-    public static bool ApproximatelyEquals(this Triangle left, Triangle right) => Triangle.ApproximatelyEquals(left, right);
+    /// <inheritdoc cref="Triangle.ApproximatelyEquals(Triangle, Triangle, float)" />
+    public static bool ApproximatelyEquals(this Triangle left, Triangle right, float epsilon = float.Epsilon) => Triangle.ApproximatelyEquals(left, right, epsilon);
 }

Engine.Core/Primitives/Vector2D.cs

@@ -1,10 +1,16 @@
 using System;
+using Syntriax.Engine.Core.Abstract;
 
 namespace Syntriax.Engine.Core;
 
 /// <summary>
 /// Represents a two-dimensional vector.
 /// </summary>
+/// <param name="x">X position of the <see cref="Vector2D"/>.</param>
+/// <param name="y">Y position of the <see cref="Vector2D"/>.</param>
+/// <remarks>
+/// Initializes a new instance of the <see cref="Vector2D"/> struct with the specified positions.
+/// </remarks>
 [System.Diagnostics.DebuggerDisplay("{ToString(),nq}, Length: {Magnitude}, LengthSquared: {MagnitudeSquared}, Normalized: {Normalized.ToString(),nq}")]
 public readonly struct Vector2D(float x, float y)
 {
@@ -72,12 +78,17 @@ public readonly struct Vector2D(float x, float y)
     public static bool operator ==(Vector2D left, Vector2D right) => left.X == right.X && left.Y == right.Y;
     public static bool operator !=(Vector2D left, Vector2D right) => left.X != right.X || left.Y != right.Y;
 
+    public static implicit operator System.Numerics.Vector2(Vector2D vector) => new(vector.X, vector.Y);
+    public static implicit operator Vector2D(System.Numerics.Vector2 vector) => new(vector.X, vector.Y);
+    public static implicit operator Vector2D(Vector3D vector) => new(vector.X, vector.Y);
+    public static implicit operator Vector2D(System.Numerics.Vector3 vector) => new(vector.X, vector.Y);
+
     /// <summary>
     /// Calculates the length of the <see cref="Vector2D"/>.
     /// </summary>
     /// <param name="vector">The <see cref="Vector2D"/>.</param>
     /// <returns>The length of the <see cref="Vector2D"/>.</returns>
-    public static float Length(Vector2D vector) => MathF.Sqrt(LengthSquared(vector));
+    public static float Length(Vector2D vector) => Math.Sqrt(LengthSquared(vector));
 
     /// <summary>
     /// Calculates the squared length of the <see cref="Vector2D"/>.
@@ -184,7 +195,7 @@ public readonly struct Vector2D(float x, float y)
     /// <param name="vector">The <see cref="Vector2D"/> to rotate.</param>
     /// <param name="angleInRadian">The angle to rotate by, in radians.</param>
     /// <returns>The rotated <see cref="Vector2D"/>.</returns>
-    public static Vector2D Rotate(Vector2D vector, float angleInRadian) => new(MathF.Cos(angleInRadian) * vector.X - MathF.Sin(angleInRadian) * vector.Y, MathF.Sin(angleInRadian) * vector.X + MathF.Cos(angleInRadian) * vector.Y);
+    public static Vector2D Rotate(Vector2D vector, float angleInRadian) => new(Math.Cos(angleInRadian) * vector.X - Math.Sin(angleInRadian) * vector.Y, Math.Sin(angleInRadian) * vector.X + Math.Cos(angleInRadian) * vector.Y);
 
     /// <summary>
     /// Returns the component-wise minimum of two <see cref="Vector2D"/>s.
@@ -234,7 +245,7 @@ public readonly struct Vector2D(float x, float y)
     /// <param name="left">The first <see cref="Vector2D"/>.</param>
     /// <param name="right">The second <see cref="Vector2D"/>.</param>
     /// <returns>The angle between the two <see cref="Vector2D"/>s in radians.</returns>
-    public static float Angle(Vector2D left, Vector2D right) => MathF.Acos(Dot(left, right) / (Length(left) * Length(right)));
+    public static float Angle(Vector2D left, Vector2D right) => Math.Acos(Dot(left, right) / (Length(left) * Length(right)));
 
     /// <summary>
     /// Calculates the dot product of two <see cref="Vector2D"/>s.
@@ -268,6 +279,17 @@ public readonly struct Vector2D(float x, float y)
         return 0;
     }
 
+    /// <summary>
+    /// Transforms the <see cref="Vector2D"/> using the specified <see cref="ITransform2D"/>.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector2D"/> to transform.</param>
+    /// <param name="transform">The <see cref="ITransform2D"/> to apply.</param>
+    /// <returns>The transformed <see cref="Vector2D"/>.</returns>
+    public static Vector2D Transform(Vector2D vector, ITransform2D transform)
+        => vector.Scale(transform.Scale)
+                 .Rotate(transform.Rotation * Math.DegreeToRadian)
+                 .Add(transform.Position);
+
     /// <summary>
     /// Checks if two <see cref="Vector2D"/>s are approximately equal within a specified epsilon range.
     /// </summary>
@@ -297,3 +319,84 @@ public readonly struct Vector2D(float x, float y)
     /// <returns>A hash code for the <see cref="Vector2D"/>.</returns>
     public override int GetHashCode() => HashCode.Combine(X, Y);
 }
+
+/// <summary>
+/// Provides extension methods for <see cref="Vector2D"/> type.
+/// </summary>
+public static class Vector2DExtensions
+{
+    /// <inheritdoc cref="Vector2D.Length(Vector2D)" />
+    public static float Length(this Vector2D vector) => Vector2D.Length(vector);
+
+    /// <inheritdoc cref="Vector2D.LengthSquared(this vector) => Vector2D/>
+    public static float LengthSquared(this Vector2D vector) => Vector2D.LengthSquared(vector);
+
+    /// <inheritdoc cref="Vector2D.Distance(Vector2D, Vector2D)" />
+    public static float Distance(this Vector2D from, Vector2D to) => Vector2D.Distance(from, to);
+
+    /// <inheritdoc cref="Vector2D.Invert(this vector) => Vector2D/>
+    public static Vector2D Invert(this Vector2D vector) => Vector2D.Invert(vector);
+
+    /// <inheritdoc cref="Vector2D.Add(Vector2D, Vector2D)" />
+    public static Vector2D Add(this Vector2D vector, Vector2D vectorToAdd) => Vector2D.Add(vector, vectorToAdd);
+
+    /// <inheritdoc cref="Vector2D.Subtract(Vector2D, Vector2D)" />
+    public static Vector2D Subtract(this Vector2D vector, Vector2D vectorToSubtract) => Vector2D.Subtract(vector, vectorToSubtract);
+
+    /// <inheritdoc cref="Vector2D.Multiply(Vector2D, float)" />
+    public static Vector2D Multiply(this Vector2D vector, float value) => Vector2D.Multiply(vector, value);
+
+    /// <inheritdoc cref="Vector2D.Divide(Vector2D, float)" />
+    public static Vector2D Divide(this Vector2D vector, float value) => Vector2D.Divide(vector, value);
+
+    /// <inheritdoc cref="Vector2D.Abs(Vector2D)" />
+    public static Vector2D Abs(this Vector2D vector) => Vector2D.Abs(vector);
+
+    /// <inheritdoc cref="Vector2D.Reflect(Vector2D, Vector2D)" />
+    public static Vector2D Reflect(this Vector2D vector, Vector2D normal) => Vector2D.Reflect(vector, normal);
+
+    /// <inheritdoc cref="Vector2D.Normalize(Vector2D)" />
+    public static Vector2D Normalize(this Vector2D vector) => Vector2D.Normalize(vector);
+
+    /// <inheritdoc cref="Vector2D.FromTo(Vector2D, Vector2D)" />
+    public static Vector2D FromTo(this Vector2D from, Vector2D to) => Vector2D.FromTo(from, to);
+
+    /// <inheritdoc cref="Vector2D.Scale(Vector2D, Vector2D)" />
+    public static Vector2D Scale(this Vector2D vector, Vector2D scale) => Vector2D.Scale(vector, scale);
+
+    /// <inheritdoc cref="Vector2D.Perpendicular(Vector2D)" />
+    public static Vector2D Perpendicular(this Vector2D vector) => Vector2D.Perpendicular(vector);
+
+    /// <inheritdoc cref="Vector2D.Rotate(Vector2D, float)" />
+    public static Vector2D Rotate(this Vector2D vector, float angleInRadian) => Vector2D.Rotate(vector, angleInRadian);
+
+    /// <inheritdoc cref="Vector2D.Min(Vector2D, Vector2D)" />
+    public static Vector2D Min(this Vector2D left, Vector2D right) => Vector2D.Min(left, right);
+
+    /// <inheritdoc cref="Vector2D.Max(Vector2D, Vector2D)" />
+    public static Vector2D Max(this Vector2D left, Vector2D right) => Vector2D.Max(left, right);
+
+    /// <inheritdoc cref="Vector2D.Clamp(Vector2D, Vector2D,Vector2D)" />
+    public static Vector2D Clamp(this Vector2D vector, Vector2D min, Vector2D max) => Vector2D.Clamp(vector, min, max);
+
+    /// <inheritdoc cref="Vector2D.Lerp(Vector2D, Vector2D," />
+    public static Vector2D Lerp(this Vector2D from, Vector2D to, float t) => Vector2D.Lerp(from, to, t);
+
+    /// <inheritdoc cref="Vector2D.Cross(Vector2D, Vector2D)" />
+    public static float Cross(this Vector2D left, Vector2D right) => Vector2D.Cross(left, right);
+
+    /// <inheritdoc cref="Vector2D.Angle(Vector2D, Vector2D)" />
+    public static float AngleBetween(this Vector2D left, Vector2D right) => Vector2D.Angle(left, right);
+
+    /// <inheritdoc cref="Vector2D.Dot(Vector2D, Vector2D)" />
+    public static float Dot(this Vector2D left, Vector2D right) => Vector2D.Dot(left, right);
+
+    /// <inheritdoc cref="Vector2D.Transform(Vector2D, ITransform2D)" />
+    public static Vector2D Transform(this Vector2D vector, ITransform2D transform) => Vector2D.Transform(vector, transform);
+
+    /// <inheritdoc cref="Vector2D.Transform(Vector2D, ITransform2D)" />
+    public static Vector2D Transform(this ITransform2D transform, Vector2D vector) => Vector2D.Transform(vector, transform);
+
+    /// <inheritdoc cref="Vector2D.ApproximatelyEquals(Vector2D, Vector2D, float) " />
+    public static bool ApproximatelyEquals(this Vector2D left, Vector2D right, float epsilon = float.Epsilon) => Vector2D.ApproximatelyEquals(left, right, epsilon);
+}

Engine.Core/Primitives/Vector3D.cs

@@ -0,0 +1,366 @@
+using System;
+
+namespace Syntriax.Engine.Core;
+
+/// <summary>
+/// Represents a three-dimensional vector.
+/// </summary>
+/// <param name="x">X position of the <see cref="Vector3D"/>.</param>
+/// <param name="y">Y position of the <see cref="Vector3D"/>.</param>
+/// <param name="z">Z position of the <see cref="Vector3D"/>.</param>
+/// <remarks>
+/// Initializes a new instance of the <see cref="Vector3D"/> struct with the specified positions.
+/// </remarks>
+[System.Diagnostics.DebuggerDisplay("{ToString(),nq}, Length: {Magnitude}, LengthSquared: {MagnitudeSquared}, Normalized: {Normalized.ToString(),nq}")]
+public readonly struct Vector3D(float x, float y, float z)
+{
+    /// <summary>
+    /// The X coordinate of the <see cref="Vector3D"/>.
+    /// </summary>
+    public readonly float X = x;
+
+    /// <summary>
+    /// The Y coordinate of the <see cref="Vector3D"/>.
+    /// </summary>
+    public readonly float Y = y;
+
+    /// <summary>
+    /// The Z coordinate of the <see cref="Vector3D"/>.
+    /// </summary>
+    public readonly float Z = z;
+
+    /// <summary>
+    /// The magnitude (length) of the <see cref="Vector3D"/>.
+    /// </summary>
+    public float Magnitude => Length(this);
+
+    /// <summary>
+    /// The squared magnitude (length) of the <see cref="Vector3D"/>.
+    /// </summary>
+    public float MagnitudeSquared => LengthSquared(this);
+
+    /// <summary>
+    /// The normalized form of the <see cref="Vector3D"/> (a <see cref="Vector3D"/> with the same direction and a magnitude of 1).
+    /// </summary>
+    public Vector3D Normalized => Normalize(this);
+
+    /// <summary>
+    /// Represents the unit <see cref="Vector3D"/> pointing upwards.
+    /// </summary>
+    public readonly static Vector3D Up = new(0f, 1f, 0f);
+
+    /// <summary>
+    /// Represents the unit <see cref="Vector3D"/> pointing downwards.
+    /// </summary>
+    public readonly static Vector3D Down = new(0f, -1f, 0f);
+
+    /// <summary>
+    /// Represents the unit <see cref="Vector3D"/> pointing leftwards.
+    /// </summary>
+    public readonly static Vector3D Left = new(-1f, 0f, 0f);
+
+    /// <summary>
+    /// Represents the unit <see cref="Vector3D"/> pointing rightwards.
+    /// </summary>
+    public readonly static Vector3D Right = new(1f, 0f, 0f);
+
+    /// <summary>
+    /// Represents the unit <see cref="Vector3D"/> pointing forwards.
+    /// </summary>
+    public readonly static Vector3D Forward = new(0f, 0f, 1f);
+
+    /// <summary>
+    /// Represents the unit <see cref="Vector3D"/> pointing backwards.
+    public readonly static Vector3D Backward = new(0f, 0f, -1f);
+
+    /// <summary>
+    /// Represents the zero <see cref="Vector3D"/>.
+    /// </summary>
+    public readonly static Vector3D Zero = new(0f, 0f, 0f);
+
+    /// <summary>
+    /// Represents the <see cref="Vector3D"/> with both components equal to 1.
+    /// </summary>
+    public readonly static Vector3D One = new(1f, 1f, 1f);
+
+    public static Vector3D operator -(Vector3D vector) => new(0f - vector.X, 0f - vector.Y, 0f - vector.Z);
+    public static Vector3D operator +(Vector3D left, Vector3D right) => new(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
+    public static Vector3D operator -(Vector3D left, Vector3D right) => new(left.X - right.X, left.Y - right.Y, left.Z - right.Z);
+    public static Vector3D operator *(Vector3D vector, float value) => new(vector.X * value, vector.Y * value, vector.Z * value);
+    public static Vector3D operator *(float value, Vector3D vector) => new(vector.X * value, vector.Y * value, vector.Z * value);
+    public static Vector3D operator /(Vector3D vector, float value) => new(vector.X / value, vector.Y / value, vector.Z / value);
+    public static bool operator ==(Vector3D left, Vector3D right) => left.X == right.X && left.Y == right.Y && left.Z == right.Z;
+    public static bool operator !=(Vector3D left, Vector3D right) => left.X != right.X || left.Y != right.Y || left.Z != right.Z;
+
+    public static implicit operator System.Numerics.Vector3(Vector3D vector) => new(vector.X, vector.Y, vector.Z);
+    public static implicit operator Vector3D(System.Numerics.Vector3 vector) => new(vector.X, vector.Y, vector.Z);
+    public static implicit operator Vector3D(Vector2D vector) => new(vector.X, vector.Y, 0f);
+    public static implicit operator Vector3D(System.Numerics.Vector2 vector) => new(vector.X, vector.Y, 0f);
+
+    /// <summary>
+    /// Calculates the length of the <see cref="Vector3D"/>.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/>.</param>
+    /// <returns>The length of the <see cref="Vector3D"/>.</returns>
+    public static float Length(Vector3D vector) => Math.Sqrt(LengthSquared(vector));
+
+    /// <summary>
+    /// Calculates the squared length of the <see cref="Vector3D"/>.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/>.</param>
+    /// <returns>The squared length of the <see cref="Vector3D"/>.</returns>
+    public static float LengthSquared(Vector3D vector) => vector.X * vector.X + vector.Y * vector.Y + vector.Z * vector.Z;
+
+    /// <summary>
+    /// Calculates the distance between two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="from">The start <see cref="Vector3D"/>.</param>
+    /// <param name="to">The end <see cref="Vector3D"/>.</param>
+    /// <returns>The distance between the two <see cref="Vector3D"/>s.</returns>
+    public static float Distance(Vector3D from, Vector3D to) => Length(FromTo(from, to));
+
+    /// <summary>
+    /// Inverts the direction of the <see cref="Vector3D"/>.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/>.</param>
+    /// <returns>The inverted <see cref="Vector3D"/>.</returns>
+    public static Vector3D Invert(Vector3D vector) => -vector;
+
+    /// <summary>
+    /// Adds two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <returns>The sum of the two <see cref="Vector3D"/>s.</returns>
+    public static Vector3D Add(Vector3D left, Vector3D right) => left + right;
+
+    /// <summary>
+    /// Subtracts one <see cref="Vector3D"/> from another.
+    /// </summary>
+    /// <param name="left">The <see cref="Vector3D"/> to subtract from.</param>
+    /// <param name="right">The <see cref="Vector3D"/> to subtract.</param>
+    /// <returns>The result of subtracting the second <see cref="Vector3D"/> from the first.</returns>
+    public static Vector3D Subtract(Vector3D left, Vector3D right) => left - right;
+
+    /// <summary>
+    /// Multiplies a <see cref="Vector3D"/> by a scalar value.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/>.</param>
+    /// <param name="value">The scalar value.</param>
+    /// <returns>The result of multiplying the <see cref="Vector3D"/> by the scalar value.</returns>
+    public static Vector3D Multiply(Vector3D vector, float value) => vector * value;
+
+    /// <summary>
+    /// Divides a <see cref="Vector3D"/> by a scalar value.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/>.</param>
+    /// <param name="value">The scalar value.</param>
+    /// <returns>The result of dividing the <see cref="Vector3D"/> by the scalar value.</returns>
+    public static Vector3D Divide(Vector3D vector, float value) => vector / value;
+
+    /// <summary>
+    /// Calculates the absolute value of each component of the vector.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/>.</param>
+    /// <returns>The <see cref="Vector3D"/> with each component's absolute value.</returns>
+    public static Vector3D Abs(Vector3D vector) => new(Math.Abs(vector.X), Math.Abs(vector.Y), Math.Abs(vector.Z));
+
+    /// <summary>
+    /// Normalizes the <see cref="Vector3D"/> (creates a unit <see cref="Vector3D"/> with the same direction).
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/> to normalize.</param>
+    /// <returns>The normalized <see cref="Vector3D"/>.</returns>
+    public static Vector3D Normalize(Vector3D vector) => vector / Length(vector);
+
+    /// <summary>
+    /// Reflects a <see cref="Vector3D"/> off a surface with the specified normal.
+    /// </summary>
+    /// <param name="vector">The incident <see cref="Vector3D"/>.</param>
+    /// <param name="normal">The normal <see cref="Vector3D"/> of the surface.</param>
+    /// <returns>The reflected <see cref="Vector3D"/>.</returns>
+    public static Vector3D Reflect(Vector3D vector, Vector3D normal) => vector - 2f * Dot(vector, normal) * normal;
+
+    /// <summary>
+    /// Calculates the <see cref="Vector3D"/> from one point to another.
+    /// </summary>
+    /// <param name="from">The starting point.</param>
+    /// <param name="to">The ending point.</param>
+    /// <returns>The <see cref="Vector3D"/> from the starting point to the ending point.</returns>
+    public static Vector3D FromTo(Vector3D from, Vector3D to) => to - from;
+
+    /// <summary>
+    /// Scales a <see cref="Vector3D"/> by another <see cref="Vector3D"/> component-wise.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/> to scale.</param>
+    /// <param name="scale">The <see cref="Vector3D"/> containing the scaling factors for each component.</param>
+    /// <returns>The scaled <see cref="Vector3D"/>.</returns>
+    public static Vector3D Scale(Vector3D vector, Vector3D scale) => new(vector.X * scale.X, vector.Y * scale.Y, vector.Z * scale.Z);
+
+    /// <summary>
+    /// Rotates a <see cref="Vector3D"/> around a normal by the specified angle (in radians).
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/> to rotate.</param>
+    /// <param name="normal">The <see cref="Vector3D"/> to rotate around.</param>
+    /// <param name="angleInRadian">The angle to rotate by, in radians.</param>
+    /// <returns>The rotated <see cref="Vector3D"/>.</returns>
+    public static Vector3D Rotate(Vector3D vector, Vector3D normal, float angleInRadian) => vector * Math.Cos(angleInRadian) + Cross(normal, vector) * Math.Sin(angleInRadian) + normal * Dot(normal, vector) * (1f - Math.Cos(angleInRadian));
+
+    /// <summary>
+    /// Returns the component-wise minimum of two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <returns>The <see cref="Vector3D"/> containing the minimum components from both input <see cref="Vector3D"/>s.</returns>
+    public static Vector3D Min(Vector3D left, Vector3D right) => new((left.X < right.X) ? left.X : right.X, (left.Y < right.Y) ? left.Y : right.Y, (left.Z < right.Z) ? left.Z : right.Z);
+
+    /// <summary>
+    /// Returns the component-wise maximum of two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <returns>The <see cref="Vector3D"/> containing the maximum components from both input <see cref="Vector3D"/>s.</returns>
+    public static Vector3D Max(Vector3D left, Vector3D right) => new((left.X > right.X) ? left.X : right.X, (left.Y > right.Y) ? left.Y : right.Y, (left.Z > right.Z) ? left.Z : right.Z);
+
+    /// <summary>
+    /// Clamps each component of a <see cref="Vector3D"/> between the corresponding component of two other <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="vector">The <see cref="Vector3D"/> to clamp.</param>
+    /// <param name="min">The <see cref="Vector3D"/> representing the minimum values for each component.</param>
+    /// <param name="max">The <see cref="Vector3D"/> representing the maximum values for each component.</param>
+    /// <returns>A <see cref="Vector3D"/> with each component clamped between the corresponding components of the min and max <see cref="Vector3D"/>s.</returns>
+    public static Vector3D Clamp(Vector3D vector, Vector3D min, Vector3D max) => new(Math.Clamp(vector.X, min.X, max.X), Math.Clamp(vector.Y, min.Y, max.Y), Math.Clamp(vector.Z, min.Z, max.Z));
+
+    /// <summary>
+    /// Performs linear interpolation between two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="from">The starting <see cref="Vector3D"/> (t = 0).</param>
+    /// <param name="to">The ending <see cref="Vector3D"/> (t = 1).</param>
+    /// <param name="t">The interpolation parameter.</param>
+    /// <returns>The interpolated <see cref="Vector3D"/>.</returns>
+    public static Vector3D Lerp(Vector3D from, Vector3D to, float t) => from + FromTo(from, to) * t;
+
+    /// <summary>
+    /// Calculates the cross product of two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <returns>The cross product of the two <see cref="Vector3D"/>s.</returns>
+    public static Vector3D Cross(Vector3D left, Vector3D right) => new(left.Y * right.Z - left.Z * right.Y, left.Z * right.X - left.X * right.Z, left.X * right.Y - left.Y * right.X);
+
+    /// <summary>
+    /// Calculates the angle between two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <returns>The angle between the two <see cref="Vector3D"/>s in radians.</returns>
+    public static float Angle(Vector3D left, Vector3D right) => Math.Acos(Dot(left, right) / (Length(left) * Length(right)));
+
+    /// <summary>
+    /// Calculates the dot product of two <see cref="Vector3D"/>s.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <returns>The dot product of the two <see cref="Vector3D"/>s.</returns>
+    public static float Dot(Vector3D left, Vector3D right) => left.X * right.X + left.Y * right.Y + left.Z * right.Z;
+
+    /// <summary>
+    /// Checks if two <see cref="Vector3D"/>s are approximately equal within a specified epsilon range.
+    /// </summary>
+    /// <param name="left">The first <see cref="Vector3D"/>.</param>
+    /// <param name="right">The second <see cref="Vector3D"/>.</param>
+    /// <param name="epsilon">The epsilon range.</param>
+    /// <returns><see cref="true"/> if the <see cref="Vector3D"/>s are approximately equal; otherwise, <see cref="false"/>.</returns>
+    public static bool ApproximatelyEquals(Vector3D left, Vector3D right, float epsilon = float.Epsilon)
+        => left.X.ApproximatelyEquals(right.X, epsilon) && left.Y.ApproximatelyEquals(right.Y, epsilon) && left.Z.ApproximatelyEquals(right.Z, epsilon);
+
+    /// <summary>
+    /// Converts the <see cref="Vector3D"/> to its string representation.
+    /// </summary>
+    /// <returns>A string representation of the <see cref="Vector3D"/>.</returns>
+    public override string ToString() => $"{nameof(Vector3D)}({X}, {Y}, {Z})";
+
+    /// <summary>
+    /// Determines whether the specified object is equal to the current <see cref="Vector3D"/>.
+    /// </summary>
+    /// <param name="obj">The object to compare with the current <see cref="Vector3D"/>.</param>
+    /// <returns><see cref="true"/> if the specified object is equal to the current <see cref="Vector3D"/>; otherwise, <see cref="false"/>.</returns>
+    public override bool Equals(object? obj) => obj is Vector3D objVec && X.Equals(objVec.X) && Y.Equals(objVec.Y) && Z.Equals(objVec.Z);
+
+    /// <summary>
+    /// Generates a hash code for the <see cref="Vector3D"/>.
+    /// </summary>
+    /// <returns>A hash code for the <see cref="Vector3D"/>.</returns>
+    public override int GetHashCode() => HashCode.Combine(X, Y, Z);
+}
+
+/// <summary>
+/// Provides extension methods for <see cref="Vector3D"/> type.
+/// </summary>
+public static class Vector3DExtensions
+{
+    /// <inheritdoc cref="Vector3D.Length(Vector3D)" />
+    public static float Length(this Vector3D vector) => Vector3D.Length(vector);
+
+    /// <inheritdoc cref="Vector3D.LengthSquared(Vector3D)" />
+    public static float LengthSquared(this Vector3D vector) => Vector3D.LengthSquared(vector);
+
+    /// <inheritdoc cref="Vector3D.Distance(Vector3D, Vector3D)" />
+    public static float Distance(this Vector3D from, Vector3D to) => Vector3D.Distance(from, to);
+
+    /// <inheritdoc cref="Vector3D.Invert(Vector3D)" />
+    public static Vector3D Invert(this Vector3D vector) => Vector3D.Invert(vector);
+
+    /// <inheritdoc cref="Vector3D.Add(Vector3D, Vector3D)" />
+    public static Vector3D Add(this Vector3D vector, Vector3D vectorToAdd) => Vector3D.Add(vector, vectorToAdd);
+
+    /// <inheritdoc cref="Vector3D.Subtract(Vector3D, Vector3D)" />
+    public static Vector3D Subtract(this Vector3D vector, Vector3D vectorToSubtract) => Vector3D.Subtract(vector, vectorToSubtract);
+
+    /// <inheritdoc cref="Vector3D.Multiply(Vector3D, float)" />
+    public static Vector3D Multiply(this Vector3D vector, float value) => Vector3D.Multiply(vector, value);
+
+    /// <inheritdoc cref="Vector3D.Divide(Vector3D, float)" />
+    public static Vector3D Divide(this Vector3D vector, float value) => Vector3D.Divide(vector, value);
+
+    /// <inheritdoc cref="Vector3D.Abs(Vector3D)" />
+    public static Vector3D Abs(this Vector3D vector) => Vector3D.Abs(vector);
+
+    /// <inheritdoc cref="Vector3D.Reflect(Vector3D, Vector3D)" />
+    public static Vector3D Reflect(this Vector3D vector, Vector3D normal) => Vector3D.Reflect(vector, normal);
+
+    /// <inheritdoc cref="Vector3D.Normalize(Vector3D)" />
+    public static Vector3D Normalize(this Vector3D vector) => Vector3D.Normalize(vector);
+
+    /// <inheritdoc cref="Vector3D.FromTo(Vector3D, Vector3D)" />
+    public static Vector3D FromTo(this Vector3D from, Vector3D to) => Vector3D.FromTo(from, to);
+
+    /// <inheritdoc cref="Vector3D.Scale(Vector3D, Vector3D)" />
+    public static Vector3D Scale(this Vector3D vector, Vector3D scale) => Vector3D.Scale(vector, scale);
+
+    /// <inheritdoc cref="Vector3D.Rotate(Vector3D, Vector3D, float)" />
+    public static Vector3D Rotate(this Vector3D vector, Vector3D normal, float angleInRadian) => Vector3D.Rotate(vector, normal, angleInRadian);
+
+    /// <inheritdoc cref="Vector3D.Min(Vector3D, Vector3D)" />
+    public static Vector3D Min(this Vector3D left, Vector3D right) => Vector3D.Min(left, right);
+
+    /// <inheritdoc cref="Vector3D.Max(Vector3D, Vector3D)" />
+    public static Vector3D Max(this Vector3D left, Vector3D right) => Vector3D.Max(left, right);
+
+    /// <inheritdoc cref="Vector3D.Clamp(Vector3D, Vector3D, Vector3D)" />
+    public static Vector3D Clamp(this Vector3D vector, Vector3D min, Vector3D max) => Vector3D.Clamp(vector, min, max);
+
+    /// <inheritdoc cref="Vector3D.Lerp(Vector3D, Vector3D, float)" />
+    public static Vector3D Lerp(this Vector3D from, Vector3D to, float t) => Vector3D.Lerp(from, to, t);
+
+    /// <inheritdoc cref="Vector3D.Cross(Vector3D, Vector3D)" />
+    public static Vector3D Cross(this Vector3D left, Vector3D right) => Vector3D.Cross(left, right);
+
+    /// <inheritdoc cref="Vector3D.Angle(Vector3D, Vector3D)" />
+    public static float AngleBetween(this Vector3D left, Vector3D right) => Vector3D.Angle(left, right);
+
+    /// <inheritdoc cref="Vector3D.Dot(Vector3D, Vector3D)" />
+    public static float Dot(this Vector3D left, Vector3D right) => Vector3D.Dot(left, right);
+
+    /// <inheritdoc cref="Vector3D.ApproximatelyEquals(Vector3D, Vector3D, float)" />
+    public static bool ApproximatelyEquals(this Vector3D left, Vector3D right, float epsilon = float.Epsilon) => Vector3D.ApproximatelyEquals(left, right, epsilon);
+}

Engine.Core/StateEnable.cs

@@ -4,9 +4,9 @@ namespace Syntriax.Engine.Core;
 
 public class StateEnable : IStateEnable
 {
-    public event IAssignable.OnUnassignedDelegate? OnUnassigned = null;
-    public event IAssignableEntity.OnEntityAssignedDelegate? OnEntityAssigned = null;
-    public event IStateEnable.OnNameChangedDelegate? OnEnabledChanged = null;
+    public event IAssignable.UnassignEventHandler? OnUnassigned = null;
+    public event IHasEntity.EntityAssignedEventHandler? OnEntityAssigned = null;
+    public event IStateEnable.EnabledChangedEventHandler? OnEnabledChanged = null;
 
     private bool _enabled = true;
     private IEntity _entity = null!;
@@ -27,12 +27,14 @@ public class StateEnable : IStateEnable
         }
     }
 
+    protected virtual void OnAssign(IEntity entity) { }
     public bool Assign(IEntity entity)
     {
-        if (_entity is not null && _entity.Initialized)
+        if (_entity is not null && _entity.IsInitialized)
             return false;
 
         _entity = entity;
+        OnAssign(entity);
         OnEntityAssigned?.Invoke(this);
         return true;
     }

Engine.Core/Time.cs

@@ -1,15 +0,0 @@
-using System;
-
-namespace Syntriax.Engine.Core;
-
-public static class Time
-{
-    private static EngineTime _engineTime = new(TimeSpan.Zero, TimeSpan.Zero);
-
-    public static TimeSpan Total => _engineTime.Total;
-    public static TimeSpan Elapsed => _engineTime.Elapsed;
-
-    public static float DeltaTimeFrame => _engineTime.DeltaTimeFrame;
-
-    public static void SetTime(EngineTime engineTime) => _engineTime = engineTime;
-}

Engine.Core/Transform.cs

@@ -1,282 +0,0 @@
-using System.Collections;
-using System.Collections.Generic;
-
-using Syntriax.Engine.Core.Abstract;
-
-namespace Syntriax.Engine.Core;
-
-[System.Diagnostics.DebuggerDisplay("Name: {GameObject.Name, nq} Position: {Position.ToString(), nq}, Scale: {Scale.ToString(), nq}, Rotation: {Rotation}")]
-public class Transform : ITransform
-{
-    public event IAssignableGameObject.OnGameObjectAssignedDelegate? OnGameObjectAssigned = null;
-
-    public event IAssignable.OnUnassignedDelegate? OnUnassigned = null;
-
-    public event ITransform.OnPositionChangedDelegate? OnPositionChanged = null;
-    public event ITransform.OnScaleChangedDelegate? OnScaleChanged = null;
-    public event ITransform.OnRotationChangedDelegate? OnRotationChanged = null;
-
-    public event ITransform.OnParentChangedDelegate? OnParentChanged = null;
-    public event ITransform.OnChildrenAddedDelegate? OnChildrenAdded = null;
-    public event ITransform.OnChildrenRemovedDelegate? OnChildrenRemoved = null;
-
-
-    private Vector2D _position = Vector2D.Zero;
-    private Vector2D _scale = Vector2D.One;
-    private float _rotation = 0f;
-
-    private Vector2D _localPosition = Vector2D.Zero;
-    private Vector2D _localScale = Vector2D.One;
-    private float _localRotation = 0f;
-
-    private readonly List<ITransform> _children = [];
-
-    public IGameObject GameObject { get; private set; } = null!;
-    public ITransform? Parent { get; private set; } = null;
-
-    public IReadOnlyList<ITransform> Children => _children;
-
-    public Vector2D Position
-    {
-        get => _position;
-        set
-        {
-            if (value == _position)
-                return;
-
-            _position = value;
-            UpdateLocalPosition();
-            OnPositionChanged?.Invoke(this);
-        }
-    }
-
-    public Vector2D Scale
-    {
-        get => _scale;
-        set
-        {
-            if (value == _scale)
-                return;
-
-            _scale = value;
-            UpdateLocalScale();
-            OnScaleChanged?.Invoke(this);
-        }
-    }
-
-    public float Rotation
-    {
-        get => _rotation;
-        set
-        {
-            if (value == _rotation)
-                return;
-
-            _rotation = value;
-            UpdateLocalPosition();
-            OnRotationChanged?.Invoke(this);
-        }
-    }
-
-    public Vector2D LocalPosition
-    {
-        get => _localPosition;
-        set
-        {
-            if (value == _localPosition)
-                return;
-
-            _localPosition = value;
-            UpdatePosition();
-            OnPositionChanged?.Invoke(this);
-        }
-    }
-
-    public Vector2D LocalScale
-    {
-        get => _localScale;
-        set
-        {
-            if (value == _localScale)
-                return;
-
-            _localScale = value;
-            UpdateScale();
-            OnScaleChanged?.Invoke(this);
-        }
-    }
-
-    public float LocalRotation
-    {
-        get => _localRotation;
-        set
-        {
-            if (value == _localRotation)
-                return;
-
-            _localRotation = value;
-            UpdateRotation();
-            OnRotationChanged?.Invoke(this);
-        }
-    }
-
-    public void SetParent(ITransform? transform)
-    {
-        if (transform == this || Parent == transform)
-            return;
-
-        ITransform? previousParent = Parent;
-        if (previousParent is not null)
-        {
-            previousParent.RemoveChild(this);
-            previousParent.OnPositionChanged -= RecalculatePosition;
-            previousParent.OnScaleChanged -= RecalculateScale;
-            previousParent.OnRotationChanged -= RecalculateRotation;
-            previousParent.OnParentChanged -= NotifyChildrenOnParentChange;
-        }
-
-        Parent = transform;
-
-        if (transform is not null)
-        {
-            transform.AddChild(this);
-            transform.OnPositionChanged += RecalculatePosition;
-            transform.OnScaleChanged += RecalculateScale;
-            transform.OnRotationChanged += RecalculateRotation;
-            transform.OnParentChanged += NotifyChildrenOnParentChange;
-        }
-
-        UpdateLocalPosition();
-        UpdateLocalScale();
-        UpdateLocalRotation();
-
-        OnParentChanged?.Invoke(this, previousParent);
-    }
-
-    public void AddChild(ITransform transform)
-    {
-        if (_children.Contains(transform))
-            return;
-
-        _children.Add(transform);
-        transform.SetParent(this);
-        OnChildrenAdded?.Invoke(this, transform);
-    }
-
-    public void RemoveChild(ITransform transform)
-    {
-        if (!_children.Remove(transform))
-            return;
-
-        transform.SetParent(null);
-        OnChildrenRemoved?.Invoke(this, transform);
-    }
-
-    public IEnumerator<ITransform> GetEnumerator() => _children.GetEnumerator();
-    IEnumerator IEnumerable.GetEnumerator() => _children.GetEnumerator();
-
-    private void NotifyChildrenOnParentChange(ITransform transform, ITransform? previousParent)
-    {
-        // TODO No idea how logical this is to propagate this to the children the way I'm doing right now.
-        // I was originally gonna just call `child.OnParentChanged?.Invoke(child, child.Parent);` but seems an unnecessary call too?
-        foreach (var child in Children) // TODO CHECK ERRORS
-            child.SetParent(this);
-    }
-
-    private void RecalculatePosition(ITransform _)
-    {
-        if (Parent is null)
-            return;
-
-        UpdatePosition();
-        OnPositionChanged?.Invoke(this);
-    }
-
-    private void RecalculateScale(ITransform _)
-    {
-        if (Parent is null)
-            return;
-
-        UpdateScale();
-        OnScaleChanged?.Invoke(this);
-    }
-
-    private void RecalculateRotation(ITransform _)
-    {
-        if (Parent is null)
-            return;
-
-        UpdatePosition();
-        UpdateRotation();
-        OnPositionChanged?.Invoke(this);
-        OnRotationChanged?.Invoke(this);
-    }
-
-    private void UpdateLocalPosition()
-    {
-        if (Parent is null)
-            _localPosition = Position;
-        else
-            _localPosition = Parent.Position.FromTo(Position).Scale(Parent.Scale);
-    }
-
-    private void UpdateLocalScale()
-    {
-        if (Parent is null)
-            _localScale = Scale;
-        else
-            _localScale = Scale.Scale(new(1f / Parent.Scale.X, 1f / Parent.Scale.Y));
-    }
-
-    private void UpdateLocalRotation()
-    {
-        if (Parent is null)
-            _localRotation = Rotation;
-        else
-            _localRotation = Rotation - Parent.Rotation;
-    }
-
-    private void UpdatePosition()
-    {
-        if (Parent is null)
-            _position = LocalPosition.Scale(Vector2D.One).Rotate(0f * Math.DegreeToRadian);
-        else
-            _position = Parent.Position + LocalPosition.Scale(new(1f / Parent.Scale.X, 1f / Parent.Scale.Y)).Rotate(Parent.Rotation * Math.DegreeToRadian);
-    }
-
-    private void UpdateScale()
-    {
-        if (Parent is null)
-            _scale = LocalScale;
-        else
-            _scale = Vector2D.Scale(Parent.Scale, LocalScale);
-    }
-
-    private void UpdateRotation()
-    {
-        if (Parent is null)
-            _rotation = LocalRotation;
-        else
-            _rotation = Parent.Rotation + LocalRotation;
-    }
-
-    public bool Assign(IGameObject gameObject)
-    {
-        if (GameObject is not null && GameObject.Initialized)
-            return false;
-
-        GameObject = gameObject;
-        OnGameObjectAssigned?.Invoke(this);
-        return true;
-    }
-
-    public bool Unassign()
-    {
-        if (GameObject is not null && GameObject.Initialized)
-            return false;
-
-        GameObject = null!;
-        OnUnassigned?.Invoke(this);
-        return true;
-    }
-}

Engine.Core/Transform2D.cs

@@ -0,0 +1,269 @@
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Core;
+
+[System.Diagnostics.DebuggerDisplay("Name: {HierarchyObject.Name, nq} Position: {Position.ToString(), nq}, Scale: {Scale.ToString(), nq}, Rotation: {Rotation}")]
+public class Transform2D : Behaviour, ITransform2D
+{
+    public event ITransform2D.PositionChangedEventHandler? OnPositionChanged = null;
+    public event ITransform2D.ScaleChangedEventHandler? OnScaleChanged = null;
+    public event ITransform2D.RotationChangedEventHandler? OnRotationChanged = null;
+
+    private Vector2D _position = Vector2D.Zero;
+    private Vector2D _scale = Vector2D.One;
+    private float _rotation = 0f;
+
+    private Vector2D _localPosition = Vector2D.Zero;
+    private Vector2D _localScale = Vector2D.One;
+    private float _localRotation = 0f;
+
+    private ITransform2D? parentTransform = null;
+
+    public Vector2D Position
+    {
+        get => _position;
+        set
+        {
+            if (value == _position)
+                return;
+
+            Vector2D previousPosition = _position;
+            _position = value;
+
+            UpdateLocalPosition();
+            OnPositionChanged?.Invoke(this, _position);
+        }
+    }
+
+    public Vector2D Scale
+    {
+        get => _scale;
+        set
+        {
+            if (value == _scale)
+                return;
+
+            Vector2D previousScale = _scale;
+            _scale = value;
+
+            UpdateLocalScale();
+            OnScaleChanged?.Invoke(this, previousScale);
+        }
+    }
+
+    public float Rotation
+    {
+        get => _rotation;
+        set
+        {
+            if (value == _rotation)
+                return;
+
+            float previousRotation = _rotation;
+            _rotation = value;
+
+            UpdateLocalRotation();
+            OnRotationChanged?.Invoke(this, previousRotation);
+        }
+    }
+
+    public Vector2D LocalPosition
+    {
+        get => _localPosition;
+        set
+        {
+            if (value == _localPosition)
+                return;
+
+            Vector2D previousPosition = _position;
+            _localPosition = value;
+
+            UpdatePosition();
+            OnPositionChanged?.Invoke(this, previousPosition);
+        }
+    }
+
+    public Vector2D LocalScale
+    {
+        get => _localScale;
+        set
+        {
+            if (value == _localScale)
+                return;
+
+            Vector2D previousScale = _scale;
+            Vector2D previousPosition = _position;
+            _localScale = value;
+
+            UpdateScale();
+            UpdatePosition();
+            OnScaleChanged?.Invoke(this, previousScale);
+            OnPositionChanged?.Invoke(this, previousPosition);
+        }
+    }
+
+    public float LocalRotation
+    {
+        get => _localRotation;
+        set
+        {
+            if (value == _localRotation)
+                return;
+
+            float previousRotation = _rotation;
+            _localRotation = value;
+
+            UpdateRotation();
+            OnRotationChanged?.Invoke(this, previousRotation);
+        }
+    }
+
+    private void RecalculatePosition(ITransform2D _, Vector2D previousPosition)
+    {
+        if (parentTransform is null)
+            return;
+
+        UpdatePosition();
+
+        OnPositionChanged?.Invoke(this, previousPosition);
+    }
+
+    private void RecalculateScale(ITransform2D _, Vector2D previousScale)
+    {
+        if (parentTransform is null)
+            return;
+
+        Vector2D previousPosition = _position;
+
+        UpdateScale();
+        UpdatePosition();
+
+        OnScaleChanged?.Invoke(this, previousScale);
+        OnPositionChanged?.Invoke(this, previousPosition);
+    }
+
+    private void RecalculateRotation(ITransform2D _, float previousRotation)
+    {
+        if (parentTransform is null)
+            return;
+
+        Vector2D previousPosition = Position;
+
+        UpdateRotation();
+        UpdatePosition();
+
+        OnRotationChanged?.Invoke(this, previousRotation);
+        OnPositionChanged?.Invoke(this, previousPosition);
+    }
+
+    private void UpdateLocalPosition()
+    {
+        if (parentTransform is null)
+            _localPosition = Position;
+        else
+            _localPosition = parentTransform.Position.FromTo(Position).Scale(parentTransform.Scale);
+    }
+
+    private void UpdateLocalScale()
+    {
+        if (parentTransform is null)
+            _localScale = Scale;
+        else
+            _localScale = Scale.Scale(new(1f / parentTransform.Scale.X, 1f / parentTransform.Scale.Y));
+    }
+
+    private void UpdateLocalRotation()
+    {
+        if (parentTransform is null)
+            _localRotation = Rotation;
+        else
+            _localRotation = Rotation - parentTransform.Rotation;
+    }
+
+    private void UpdatePosition()
+    {
+        if (parentTransform is null)
+            _position = LocalPosition.Rotate(0f * Math.DegreeToRadian);
+        else
+            _position = parentTransform.Position + LocalPosition.Scale(new(parentTransform.Scale.X, parentTransform.Scale.Y)).Rotate(parentTransform.Rotation * Math.DegreeToRadian);
+    }
+
+    private void UpdateScale()
+    {
+        if (parentTransform is null)
+            _scale = LocalScale;
+        else
+            _scale = (parentTransform?.Scale ?? Vector2D.One).Scale(_localScale);
+    }
+
+    private void UpdateRotation()
+    {
+        if (parentTransform is null)
+            _rotation = LocalRotation;
+        else
+            _rotation = parentTransform.Rotation + LocalRotation;
+    }
+
+    protected override void InitializeInternal()
+    {
+        UpdateReferences(HierarchyObject.Parent);
+        HierarchyObject.OnParentChanged += OnParentChanged;
+    }
+
+    protected override void FinalizeInternal()
+    {
+        HierarchyObject.OnParentChanged -= OnParentChanged;
+    }
+
+    private void UpdateReferences(IHierarchyObject? parent)
+    {
+        ITransform2D? previousParent = parentTransform;
+        if (previousParent is not null)
+        {
+            previousParent.BehaviourController.HierarchyObject.RemoveChild(HierarchyObject);
+            previousParent.OnPositionChanged -= RecalculatePosition;
+            previousParent.OnScaleChanged -= RecalculateScale;
+            previousParent.OnRotationChanged -= RecalculateRotation;
+            previousParent.BehaviourController.HierarchyObject.OnParentChanged -= OnParentChanged;
+            previousParent.BehaviourController.OnBehaviourAdded -= LookForTransform2D;
+        }
+
+        parentTransform = parent?.BehaviourController.GetBehaviour<ITransform2D>();
+
+        if (parentTransform is not null)
+        {
+            parentTransform.BehaviourController.HierarchyObject.AddChild(HierarchyObject);
+            parentTransform.OnPositionChanged += RecalculatePosition;
+            parentTransform.OnScaleChanged += RecalculateScale;
+            parentTransform.OnRotationChanged += RecalculateRotation;
+            parentTransform.BehaviourController.HierarchyObject.OnParentChanged += OnParentChanged;
+
+            UpdatePosition();
+            UpdateScale();
+            UpdateRotation();
+        }
+        else if (HierarchyObject.Parent is not null)
+            HierarchyObject.Parent.BehaviourController.OnBehaviourAdded += LookForTransform2D;
+
+        UpdateLocalPosition();
+        UpdateLocalScale();
+        UpdateLocalRotation();
+
+        OnPositionChanged?.Invoke(this, Position);
+        OnScaleChanged?.Invoke(this, Scale);
+        OnRotationChanged?.Invoke(this, Rotation);
+    }
+
+    private void LookForTransform2D(IBehaviourController sender, IBehaviour behaviourAdded)
+    {
+        if (behaviourAdded is not ITransform2D transform2D)
+            return;
+
+        UpdateReferences(HierarchyObject.Parent);
+    }
+
+    private void OnParentChanged(IHierarchyObject sender, IHierarchyObject? previousParent, IHierarchyObject? newParent)
+    {
+        UpdateReferences(newParent);
+    }
+}

Engine.Input/.gitignore

@@ -1,484 +0,0 @@
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-## files generated by popular Visual Studio add-ons.
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Engine.Input/Abstract/IButtonInputs.cs

@@ -1,14 +0,0 @@
-using Syntriax.Engine.Core.Abstract;
-
-namespace Syntriax.Engine.Input;
-
-public interface IButtonInputs<T> : IAssignableStateEnable
-{
-    void RegisterOnPress(T button, Action<IButtonInputs<T>, T> callback);
-    void UnregisterOnPress(T button, Action<IButtonInputs<T>, T> callback);
-    void RegisterOnRelease(T button, Action<IButtonInputs<T>, T> callback);
-    void UnregisterOnRelease(T button, Action<IButtonInputs<T>, T> callback);
-
-    bool IsPressed(T button);
-    bool WasPressed(T button);
-}

Engine.Physics2D/Abstract/ICircleCollider2D.cs

@@ -1,4 +1,4 @@
-using Syntriax.Engine.Physics2D.Primitives;
+using Syntriax.Engine.Core;
 
 namespace Syntriax.Engine.Physics2D.Abstract;
 

Engine.Physics2D/Abstract/ICollider2D.cs

@@ -5,22 +5,25 @@ namespace Syntriax.Engine.Physics2D.Abstract;
 /// <summary>
 /// Represents a 2D collider.
 /// </summary>
-public interface ICollider2D : IBehaviour, IAssignableTransform
+public interface ICollider2D : IBehaviour
 {
     /// <summary>
     /// Event triggered when a collision is detected.
     /// </summary>
-    event OnCollisionDetectedDelegate? OnCollisionDetected;
+    event CollisionDetectedEventHandler? OnCollisionDetected;
 
     /// <summary>
     /// Event triggered when a collision is resolved.
     /// </summary>
-    event OnCollisionResolvedDelegate? OnCollisionResolved;
+    event CollisionResolvedEventHandler? OnCollisionResolved;
 
     /// <summary>
     /// Event triggered when another <see cref="ICollider2D"/> triggers this <see cref="ICollider2D"/>.
     /// </summary>
-    event OnTriggeredDelegate? OnTriggered;
+    event TriggeredEventHandler? OnTriggered;
+
+    /// <inheritdoc cref="ITransform2D" />
+    ITransform2D Transform { get; }
 
     /// <summary>
     /// The <see cref="IRigidBody2D"/> associated with the <see cref="ICollider2D"/>.
@@ -41,7 +44,7 @@ public interface ICollider2D : IBehaviour, IAssignableTransform
     void Resolve(CollisionDetectionInformation collisionDetectionInformation);
     void Trigger(ICollider2D initiator);
 
-    delegate void OnCollisionDetectedDelegate(ICollider2D sender, CollisionDetectionInformation collisionDetectionInformation);
-    delegate void OnCollisionResolvedDelegate(ICollider2D sender, CollisionDetectionInformation collisionDetectionInformation);
-    delegate void OnTriggeredDelegate(ICollider2D sender, ICollider2D initiatorCollider);
+    delegate void CollisionDetectedEventHandler(ICollider2D sender, CollisionDetectionInformation collisionDetectionInformation);
+    delegate void CollisionResolvedEventHandler(ICollider2D sender, CollisionDetectionInformation collisionDetectionInformation);
+    delegate void TriggeredEventHandler(ICollider2D sender, ICollider2D initiatorCollider);
 }

Engine.Physics2D/Abstract/IPhysicsEngine2D.cs

@@ -5,6 +5,16 @@ namespace Syntriax.Engine.Physics2D.Abstract;
 /// </summary>
 public interface IPhysicsEngine2D
 {
+    /// <summary>
+    /// Event triggered when the <see cref="IPhysicsEngine2D"/> has done a single physics iteration.
+    /// </summary>
+    event PhysicsIterationEventHandler? OnPhysicsIteration;
+
+    /// <summary>
+    /// Event triggered when the <see cref="IPhysicsEngine2D"/> has done a full physics step/>.
+    /// </summary>
+    event PhysicsStepEventHandler? OnPhysicsStep;
+
     /// <summary>
     /// The number of iterations the <see cref="IPhysicsEngine2D"/> performs per step.
     /// </summary>
@@ -15,4 +25,7 @@ public interface IPhysicsEngine2D
     /// </summary>
     /// <param name="deltaTime">The time step.</param>
     void Step(float deltaTime);
+
+    delegate void PhysicsIterationEventHandler(IPhysicsEngine2D sender, float iterationDeltaTime);
+    delegate void PhysicsStepEventHandler(IPhysicsEngine2D sender, float stepDeltaTime);
 }

Engine.Physics2D/Abstract/IPhysicsUpdate.cs

@@ -0,0 +1,15 @@
+using Syntriax.Engine.Core.Abstract;
+
+namespace Syntriax.Engine.Physics2D.Abstract;
+
+/// <summary>
+/// Represents a <see cref="IBehaviour"/> that listens to physics simulation update phase.
+/// </summary>
+public interface IPhysicsUpdate : IBehaviour
+{
+    /// <summary>
+    /// Updates the physics state of the object based on the elapsed time since the last update.
+    /// </summary>
+    /// <param name="delta">The time elapsed since the last physics update, typically in seconds.</param>
+    void PhysicsUpdate(float delta);
+}

Engine.Physics2D/Abstract/IRigidBody2D.cs

@@ -6,7 +6,7 @@ namespace Syntriax.Engine.Physics2D.Abstract;
 /// <summary>
 /// Represents a 2D rigid body in the engine.
 /// </summary>
-public interface IRigidBody2D : IBehaviour, IAssignableTransform
+public interface IRigidBody2D : IBehaviour2D
 {
     /// <summary>
     /// The physics material of the <see cref="IRigidBody2D"/>.

Engine.Physics2D/Abstract/IShapeCollider2D.cs

@@ -1,20 +1,19 @@
-using Syntriax.Engine.Physics2D.Primitives;
+using Syntriax.Engine.Core;
 
 namespace Syntriax.Engine.Physics2D.Abstract;
 
-
 /// <summary>
-/// Represents a <see cref="ICollider2D"/> with a custom <see cref="Shape"/>.
+/// Represents a <see cref="ICollider2D"/> with a custom <see cref="Shape2D"/>.
 /// </summary>
 public interface IShapeCollider2D : ICollider2D
 {
     /// <summary>
-    /// Gets or sets the local <see cref="Shape"/> of the <see cref="ICollider2D"/>.
+    /// Gets or sets the local <see cref="Shape2D"/> of the <see cref="ICollider2D"/>.
     /// </summary>
-    Shape ShapeLocal { get; set; }
+    Shape2D ShapeLocal { get; set; }
 
     /// <summary>
-    /// Gets the world space representation of the <see cref="Shape"/>.
+    /// Gets the world space representation of the <see cref="Shape2D"/>.
     /// </summary>
-    Shape ShapeWorld { get; }
+    Shape2D ShapeWorld { get; }
 }

Engine.Physics2D/Collider2DBehaviourBase.cs

@@ -4,24 +4,18 @@ using Syntriax.Engine.Physics2D.Abstract;
 
 namespace Syntriax.Engine.Physics2D;
 
-public abstract class Collider2DBehaviourBase : BehaviourOverride, ICollider2D
+public abstract class Collider2DBehaviourBase : Behaviour2D, ICollider2D
 {
-    public event ICollider2D.OnCollisionDetectedDelegate? OnCollisionDetected = null;
-    public event ICollider2D.OnCollisionResolvedDelegate? OnCollisionResolved = null;
-    public event ICollider2D.OnTriggeredDelegate? OnTriggered = null;
+    public event ICollider2D.CollisionDetectedEventHandler? OnCollisionDetected = null;
+    public event ICollider2D.CollisionResolvedEventHandler? OnCollisionResolved = null;
+    public event ICollider2D.TriggeredEventHandler? OnTriggered = null;
 
-
-    protected bool NeedsRecalculation { get; private set; } = true;
+    protected bool NeedsRecalculation { get; set; } = true;
     protected IRigidBody2D? _rigidBody2D = null;
 
     public IRigidBody2D? RigidBody2D => _rigidBody2D;
     public bool IsTrigger { get; set; } = false;
 
-    ITransform IAssignableTransform.Transform => Transform;
-    public event IAssignableTransform.OnTransformAssignedDelegate? OnTransformAssigned { add => GameObject.OnTransformAssigned += value; remove => GameObject.OnTransformAssigned -= value; }
-
-    bool IAssignableTransform.Assign(ITransform transform) => GameObject.Assign(transform);
-
     public void Recalculate()
     {
         if (!NeedsRecalculation)
@@ -40,13 +34,13 @@ public abstract class Collider2DBehaviourBase : BehaviourOverride, ICollider2D
         BehaviourController.OnBehaviourAdded += OnBehaviourAddedToController;
         BehaviourController.OnBehaviourRemoved += OnBehaviourRemovedFromController;
 
-        Transform.OnPositionChanged += SetNeedsRecalculation;
-        Transform.OnRotationChanged += SetNeedsRecalculation;
-        Transform.OnScaleChanged += SetNeedsRecalculation;
-        Transform.OnParentChanged += UpdateRigidBody2D;
+        Transform.OnPositionChanged += SetNeedsRecalculationFromPosition;
+        Transform.OnRotationChanged += SetNeedsRecalculationFromRotation;
+        Transform.OnScaleChanged += SetNeedsRecalculationFromScale;
+        HierarchyObject.OnParentChanged += UpdateRigidBody2D;
     }
 
-    private void UpdateRigidBody2D(ITransform _1, ITransform? _2)
+    private void UpdateRigidBody2D(IHierarchyObject sender, IHierarchyObject? previousParent, IHierarchyObject? newParent)
     {
         BehaviourController.TryGetBehaviourInParent(out _rigidBody2D);
     }
@@ -63,16 +57,18 @@ public abstract class Collider2DBehaviourBase : BehaviourOverride, ICollider2D
             _rigidBody2D = null;
     }
 
-    private void SetNeedsRecalculation(ITransform transform) => NeedsRecalculation = true;
+    private void SetNeedsRecalculationFromScale(ITransform2D sender, Vector2D previousScale) => NeedsRecalculation = true;
+    private void SetNeedsRecalculationFromPosition(ITransform2D sender, Vector2D previousPosition) => NeedsRecalculation = true;
+    private void SetNeedsRecalculationFromRotation(ITransform2D sender, float previousRotation) => NeedsRecalculation = true;
 
     protected override void OnFinalize()
     {
         BehaviourController.OnBehaviourAdded -= OnBehaviourAddedToController;
         BehaviourController.OnBehaviourRemoved -= OnBehaviourRemovedFromController;
-        Transform.OnScaleChanged -= SetNeedsRecalculation;
+        Transform.OnScaleChanged -= SetNeedsRecalculationFromScale;
 
-        Transform.OnPositionChanged -= SetNeedsRecalculation;
-        Transform.OnRotationChanged -= SetNeedsRecalculation;
+        Transform.OnPositionChanged -= SetNeedsRecalculationFromPosition;
+        Transform.OnRotationChanged -= SetNeedsRecalculationFromRotation;
     }
 
     public void Detect(CollisionDetectionInformation collisionDetectionInformation) => OnCollisionDetected?.Invoke(this, collisionDetectionInformation);

Engine.Physics2D/Collider2DCircleBehaviour.cs

@@ -1,16 +1,24 @@
+using Syntriax.Engine.Core;
 using Syntriax.Engine.Physics2D.Abstract;
-using Syntriax.Engine.Physics2D.Primitives;
 
 namespace Syntriax.Engine.Physics2D;
 
 public class Collider2DCircleBehaviour : Collider2DBehaviourBase, ICircleCollider2D
 {
+    private Circle _circleLocal = Circle.UnitCircle;
+
     public Circle CircleWorld { get; protected set; } = Circle.UnitCircle;
-    public Circle CircleLocal { get; set; } = Circle.UnitCircle;
-
-
-    public override void CalculateCollider() => CircleWorld = Transform.TransformCircle(CircleLocal);
+    public Circle CircleLocal
+    {
+        get => _circleLocal;
+        set
+        {
+            _circleLocal = value;
+            NeedsRecalculation = true;
+        }
+    }
 
+    public override void CalculateCollider() => CircleWorld = Transform.Transform(_circleLocal);
 
     public Collider2DCircleBehaviour() { }
     public Collider2DCircleBehaviour(Circle circle) => CircleLocal = circle;

Engine.Physics2D/Collider2DShapeBehaviour.cs

@@ -1,18 +1,29 @@
+using Syntriax.Engine.Core;
 using Syntriax.Engine.Physics2D.Abstract;
-using Syntriax.Engine.Physics2D.Primitives;
 
 namespace Syntriax.Engine.Physics2D;
 
 public class Collider2DShapeBehaviour : Collider2DBehaviourBase, IShapeCollider2D
 {
-    public Shape ShapeWorld { get => _shapeWorld; protected set => _shapeWorld = value; }
-    public Shape ShapeLocal { get; set; } = Shape.Box;
+    public Shape2D ShapeWorld { get => _shapeWorld; protected set => _shapeWorld = value; }
+    public Shape2D ShapeLocal
+    {
+        get => _shapeLocal;
+        set
+        {
+            _shapeLocal = value;
+            NeedsRecalculation = true;
+        }
+    }
 
-    private Shape _shapeWorld = Shape.Box.CreateCopy();
-
-    public override void CalculateCollider() => Transform.TransformShape(ShapeLocal, ref _shapeWorld);
+    private Shape2D _shapeWorld = Shape2D.Square.CreateCopy();
+    private Shape2D _shapeLocal = Shape2D.Square;
 
+    public override void CalculateCollider() => Transform.Transform(ShapeLocal, ref _shapeWorld);
 
     public Collider2DShapeBehaviour() { }
-    public Collider2DShapeBehaviour(Shape shape) => ShapeLocal = shape;
+    public Collider2DShapeBehaviour(Shape2D shape)
+    {
+        ShapeLocal = shape;
+    }
 }

Engine.Physics2D/CollisionDetectionInformation.cs

@@ -6,14 +6,16 @@ namespace Syntriax.Engine.Physics2D;
 [System.Diagnostics.DebuggerDisplay("Normal: {Normal.ToString(), nq}, Penetration: {Penetration}")]
 public readonly struct CollisionDetectionInformation
 (
-    ICollider2D Left,
-    ICollider2D Right,
+    ICollider2D Detector,
+    ICollider2D Detected,
     Vector2D Normal,
     float Penetration
 )
 {
-    public ICollider2D Left { get; init; } = Left;
-    public ICollider2D Right { get; init; } = Right;
+    public ICollider2D Detector { get; init; } = Detector;
+    public ICollider2D Detected { get; init; } = Detected;
     public Vector2D Normal { get; init; } = Normal;
     public float Penetration { get; init; } = Penetration;
+
+    public CollisionDetectionInformation Reverse() => new(Detected, Detector, -Normal, Penetration);
 }

Engine.Physics2D/CollisionDetector2D.cs

@@ -1,6 +1,5 @@
 using Syntriax.Engine.Core;
 using Syntriax.Engine.Physics2D.Abstract;
-using Syntriax.Engine.Physics2D.Primitives;
 
 namespace Syntriax.Engine.Physics2D;
 
@@ -42,20 +41,20 @@ public class CollisionDetector2D : ICollisionDetector2D
 
     private static bool DetectShapeShapeOneWay(IShapeCollider2D left, IShapeCollider2D right, ref CollisionDetectionInformation collisionInformation)
     {
-        var vertices = left.ShapeWorld.Vertices;
+        System.Collections.Generic.IReadOnlyList<Vector2D> vertices = left.ShapeWorld.Vertices;
         int count = vertices.Count;
 
         for (int indexProjection = 0; indexProjection < count; indexProjection++)
         {
             Vector2D projectionVector = vertices[indexProjection].FromTo(vertices[(indexProjection + 1) % count]).Perpendicular().Normalized;
 
-            Projection leftProjection = left.ShapeWorld.ToProjection(projectionVector);
-            Projection rightProjection = right.ShapeWorld.ToProjection(projectionVector);
+            Projection1D leftProjection = left.ShapeWorld.ToProjection(projectionVector);
+            Projection1D rightProjection = right.ShapeWorld.ToProjection(projectionVector);
 
             if (!leftProjection.Overlaps(rightProjection, out float depth))
                 return false;
 
-            if (collisionInformation.Left is null || Math.Abs(collisionInformation.Penetration) > Math.Abs(depth))
+            if (collisionInformation.Detector is null || Math.Abs(collisionInformation.Penetration) > Math.Abs(depth))
                 collisionInformation = new(left, right, projectionVector, depth);
         }
 
@@ -66,33 +65,33 @@ public class CollisionDetector2D : ICollisionDetector2D
     {
         collisionInformation = default;
 
-        var vertices = shapeCollider.ShapeWorld.Vertices;
+        System.Collections.Generic.IReadOnlyList<Vector2D> vertices = shapeCollider.ShapeWorld.Vertices;
         int count = vertices.Count;
 
         for (int indexProjection = 0; indexProjection < count; indexProjection++)
         {
             Vector2D projectionVector = vertices[indexProjection].FromTo(vertices[(indexProjection + 1) % count]).Perpendicular().Normalized;
 
-            Projection shapeProjection = shapeCollider.ShapeWorld.ToProjection(projectionVector);
-            Projection circleProjection = circleCollider.CircleWorld.ToProjection(projectionVector);
+            Projection1D shapeProjection = shapeCollider.ShapeWorld.ToProjection(projectionVector);
+            Projection1D circleProjection = circleCollider.CircleWorld.ToProjection(projectionVector);
 
             if (!shapeProjection.Overlaps(circleProjection, out float depth))
                 return false;
 
-            if (collisionInformation.Left is null || Math.Abs(collisionInformation.Penetration) > Math.Abs(depth))
+            if (collisionInformation.Detector is null || Math.Abs(collisionInformation.Penetration) > Math.Abs(depth))
                 collisionInformation = new(shapeCollider, circleCollider, projectionVector, depth);
         }
 
         {
             Vector2D shapeToCircleProjectionVector = shapeCollider.Transform.Position.FromTo(circleCollider.CircleWorld.Center).Normalized;
 
-            Projection shapeProjection = shapeCollider.ShapeWorld.ToProjection(shapeToCircleProjectionVector);
-            Projection circleProjection = circleCollider.CircleWorld.ToProjection(shapeToCircleProjectionVector);
+            Projection1D shapeProjection = shapeCollider.ShapeWorld.ToProjection(shapeToCircleProjectionVector);
+            Projection1D circleProjection = circleCollider.CircleWorld.ToProjection(shapeToCircleProjectionVector);
 
             if (!shapeProjection.Overlaps(circleProjection, out float depth))
                 return false;
 
-            if (collisionInformation.Left is null || Math.Abs(collisionInformation.Penetration) > Math.Abs(depth))
+            if (collisionInformation.Detector is null || Math.Abs(collisionInformation.Penetration) > Math.Abs(depth))
                 collisionInformation = new(shapeCollider, circleCollider, shapeToCircleProjectionVector, depth);
         }
 
@@ -105,8 +104,8 @@ public class CollisionDetector2D : ICollisionDetector2D
 
         Vector2D leftToRightCenterProjectionVector = left.CircleWorld.Center.FromTo(right.CircleWorld.Center).Normalized;
 
-        Projection leftProjection = left.CircleWorld.ToProjection(leftToRightCenterProjectionVector);
-        Projection rightProjection = right.CircleWorld.ToProjection(leftToRightCenterProjectionVector);
+        Projection1D leftProjection = left.CircleWorld.ToProjection(leftToRightCenterProjectionVector);
+        Projection1D rightProjection = right.CircleWorld.ToProjection(leftToRightCenterProjectionVector);
 
         bool collision = leftProjection.Overlaps(rightProjection, out float depth);
 

Engine.Physics2D/CollisionResolver2D.cs

@@ -9,8 +9,8 @@ public class CollisionResolver2D : ICollisionResolver2D
     {
         Vector2D displacementVector = collisionInformation.Normal * collisionInformation.Penetration;
 
-        ICollider2D left = collisionInformation.Left;
-        ICollider2D right = collisionInformation.Right;
+        ICollider2D left = collisionInformation.Detector;
+        ICollider2D right = collisionInformation.Detected;
 
         bool isLeftStatic = left.RigidBody2D?.IsStatic ?? true;
         bool isRightStatic = right.RigidBody2D?.IsStatic ?? true;

Engine.Physics2D/Engine.Physics2D.csproj

@@ -1,13 +1,14 @@
 <Project Sdk="Microsoft.NET.Sdk">
 
-  <ItemGroup>
-    <ProjectReference Include="..\Engine.Core\Engine.Core.csproj" />
-  </ItemGroup>
-
   <PropertyGroup>
     <TargetFramework>net8.0</TargetFramework>
     <ImplicitUsings>disable</ImplicitUsings>
     <Nullable>enable</Nullable>
+    <RootNamespace>Syntriax.Engine.Physics2D</RootNamespace>
   </PropertyGroup>
 
+  <ItemGroup>
+    <ProjectReference Include="..\Engine.Core\Engine.Core.csproj" />
+  </ItemGroup>
+
 </Project>

Engine.Physics2D/Physics2D.cs

@@ -1,22 +1,21 @@
 using Syntriax.Engine.Core;
-using Syntriax.Engine.Physics2D.Primitives;
 
-namespace Engine.Physics2D;
+namespace Syntriax.Engine.Physics2D;
 
 public static partial class Physics2D
 {
-    public static bool Overlaps(this Shape shape, Vector2D point) => Overlaps(shape, point, out var _);
-    public static bool Overlaps(this Shape shape, Vector2D point, out float depth)
+    public static bool Overlaps(this Shape2D shape, Vector2D point) => Overlaps(shape, point, out float _);
+    public static bool Overlaps(this Shape2D shape, Vector2D point, out float depth)
     {
         depth = float.MaxValue;
-        var vertices = shape.Vertices;
+        System.Collections.Generic.IReadOnlyList<Vector2D> vertices = shape.Vertices;
         int count = vertices.Count;
 
         for (int indexProjection = 0; indexProjection < count; indexProjection++)
         {
             Vector2D projectionVector = vertices[indexProjection].FromTo(vertices[(indexProjection + 1) % count]).Perpendicular().Normalized;
 
-            Projection shapeProjection = shape.ToProjection(projectionVector);
+            Projection1D shapeProjection = shape.ToProjection(projectionVector);
             float projectedPoint = point.Dot(projectionVector);
 
             if (shapeProjection.Max < projectedPoint || shapeProjection.Min > projectedPoint)
@@ -90,5 +89,5 @@ public static partial class Physics2D
         return originalTriangleArea.ApproximatelyEquals(pointTriangleAreasSum, float.Epsilon * 3f);
     }
 
-    public static bool LaysOn(this Vector2D point, Line line) => Line.Intersects(line, point);
+    public static bool LaysOn(this Vector2D point, Line2D line) => Line2D.Intersects(line, point);
 }

Engine.Physics2D/PhysicsCoroutineManager.cs

@@ -0,0 +1,66 @@
+using System.Collections;
+using System.Collections.Generic;
+
+using Syntriax.Engine.Core;
+using Syntriax.Engine.Core.Abstract;
+using Syntriax.Engine.Physics2D.Abstract;
+
+namespace Syntriax.Engine.Physics2D;
+
+public class PhysicsCoroutineManager : HierarchyObject
+{
+    private readonly List<IEnumerator> enumerators = [];
+    private IPhysicsEngine2D? physicsEngine = null;
+
+    public IEnumerator CreateCoroutine(IEnumerator enumerator)
+    {
+        enumerators.Add(enumerator);
+        return enumerator;
+    }
+
+    public void StopCoroutine(IEnumerator enumerator)
+    {
+        enumerators.Remove(enumerator);
+    }
+
+    protected override void OnEnteringHierarchy(IGameManager gameManager)
+    {
+        physicsEngine = gameManager.FindHierarchyObject<IPhysicsEngine2D>();
+        if (physicsEngine is IPhysicsEngine2D foundPhysicsEngine)
+            foundPhysicsEngine.OnPhysicsStep += OnPhysicsStep;
+        else
+            gameManager.OnUpdate += OnUpdate;
+    }
+
+    private void OnPhysicsStep(IPhysicsEngine2D sender, float stepDeltaTime)
+    {
+        for (int i = enumerators.Count - 1; i >= 0; i--)
+        {
+            if (enumerators[i].Current is ICoroutineYield coroutineYield && coroutineYield.Yield())
+                continue;
+
+            if (!enumerators[i].MoveNext())
+                enumerators.RemoveAt(i);
+        }
+    }
+
+    protected override void OnExitingHierarchy(IGameManager gameManager)
+    {
+        if (physicsEngine is IPhysicsEngine2D existingPhysicsEngine)
+            existingPhysicsEngine.OnPhysicsStep -= OnPhysicsStep;
+        gameManager.OnUpdate -= OnUpdate;
+    }
+
+    private void OnUpdate(IGameManager sender, EngineTime engineTime)
+    {
+        if (GameManager is not IGameManager gameManager)
+            return;
+
+        physicsEngine = gameManager.FindHierarchyObject<IPhysicsEngine2D>();
+        if (physicsEngine is IPhysicsEngine2D foundPhysicsEngine)
+        {
+            foundPhysicsEngine.OnPhysicsStep += OnPhysicsStep;
+            gameManager.OnUpdate -= OnUpdate;
+        }
+    }
+}

Engine.Physics2D/PhysicsEngine2D.cs

@@ -1,41 +1,27 @@
-using System.Collections.Generic;
-
 using Syntriax.Engine.Core;
 using Syntriax.Engine.Core.Abstract;
 using Syntriax.Engine.Physics2D.Abstract;
 
 namespace Syntriax.Engine.Physics2D;
 
-public class PhysicsEngine2D : IPhysicsEngine2D
+public class PhysicsEngine2D : HierarchyObject, IPhysicsEngine2D
 {
-    private readonly List<IRigidBody2D> rigidBodies = new(32);
-    private readonly List<ICollider2D> colliders = new(64);
+    public event IPhysicsEngine2D.PhysicsIterationEventHandler? OnPhysicsIteration = null;
+    public event IPhysicsEngine2D.PhysicsStepEventHandler? OnPhysicsStep = null;
 
-    private int _iterationCount = 1;
+    private float physicsTicker = 0f;
+    private int _iterationPerStep = 1;
+    private float _iterationPeriod = 1f / 60f;
 
-    private readonly ICollisionDetector2D collisionDetector = null!;
-    private readonly ICollisionResolver2D collisionResolver = null!;
+    protected readonly ICollisionDetector2D collisionDetector = null!;
+    protected readonly ICollisionResolver2D collisionResolver = null!;
 
-    public int IterationPerStep { get => _iterationCount; set => _iterationCount = value < 1 ? 1 : value; }
+    protected BehaviourCollector<IRigidBody2D> rigidBodyCollector = new();
+    protected BehaviourCollector<ICollider2D> colliderCollector = new();
+    protected BehaviourCollector<IPhysicsUpdate> physicsUpdateCollector = new();
 
-    public void AddRigidBody(IRigidBody2D rigidBody)
-    {
-        if (rigidBodies.Contains(rigidBody))
-            return;
-
-        rigidBodies.Add(rigidBody);
-
-        foreach (var collider2D in rigidBody.BehaviourController.GetBehaviours<ICollider2D>())
-            colliders.Add(collider2D);
-
-        rigidBody.BehaviourController.OnBehaviourAdded += OnBehaviourAdded;
-        rigidBody.BehaviourController.OnBehaviourRemoved += OnBehaviourRemoved;
-    }
-
-    public void RemoveRigidBody(IRigidBody2D rigidBody)
-    {
-        rigidBodies.Remove(rigidBody);
-    }
+    public int IterationPerStep { get => _iterationPerStep; set => _iterationPerStep = value < 1 ? 1 : value; }
+    public float IterationPeriod { get => _iterationPeriod; set => _iterationPeriod = value.Max(0.0001f); }
 
     public void Step(float deltaTime)
     {
@@ -44,23 +30,23 @@ public class PhysicsEngine2D : IPhysicsEngine2D
         for (int iterationIndex = 0; iterationIndex < IterationPerStep; iterationIndex++)
         {
             // Can Parallel
-            for (int i = 0; i < rigidBodies.Count; i++)
-                StepRigidBody(rigidBodies[i], intervalDeltaTime);
+            foreach (IRigidBody2D rigidBody in rigidBodyCollector)
+                StepRigidBody(rigidBody, intervalDeltaTime);
 
             // Can Parallel
-            foreach (var collider in colliders)
+            foreach (ICollider2D collider in colliderCollector)
                 collider.Recalculate();
 
             // Can Parallel
-            for (int x = 0; x < colliders.Count; x++)
+            for (int x = 0; x < colliderCollector.Behaviours.Count; x++)
             {
-                ICollider2D? colliderX = colliders[x];
+                ICollider2D? colliderX = colliderCollector.Behaviours[x];
                 if (!colliderX.IsActive)
                     return;
 
-                for (int y = x + 1; y < colliders.Count; y++)
+                for (int y = x + 1; y < colliderCollector.Behaviours.Count; y++)
                 {
-                    ICollider2D? colliderY = colliders[y];
+                    ICollider2D? colliderY = colliderCollector.Behaviours[y];
 
                     if (!colliderY.IsActive)
                         return;
@@ -72,7 +58,7 @@ public class PhysicsEngine2D : IPhysicsEngine2D
                     if (bothCollidersAreTriggers)
                         continue;
 
-                    bool bothCollidersAreStatic = colliderX.RigidBody2D?.IsStatic ?? true && colliderX.RigidBody2D?.IsStatic == colliderY.RigidBody2D?.IsStatic;
+                    bool bothCollidersAreStatic = (colliderX.RigidBody2D?.IsStatic ?? true) && (colliderY.RigidBody2D?.IsStatic ?? true);
                     if (bothCollidersAreStatic)
                         continue;
 
@@ -85,18 +71,33 @@ public class PhysicsEngine2D : IPhysicsEngine2D
                         }
                         else if (colliderY.IsTrigger)
                         {
-                            colliderY.Trigger(colliderY);
+                            colliderY.Trigger(colliderX);
                             continue;
                         }
 
-                        colliderX.Detect(information);
-                        colliderY.Detect(information);
+                        if (information.Detector == colliderX)
+                        {
+                            colliderX.Detect(information);
+                            colliderY.Detect(information.Reverse());
+                        }
+                        else
+                        {
+                            colliderX.Detect(information.Reverse());
+                            colliderY.Detect(information);
+                        }
 
                         collisionResolver?.Resolve(information);
                     }
                 }
             }
+
+            OnPhysicsIteration?.Invoke(this, intervalDeltaTime);
         }
+
+        foreach (IPhysicsUpdate physicsUpdate in physicsUpdateCollector)
+            physicsUpdate.PhysicsUpdate(deltaTime);
+
+        OnPhysicsStep?.Invoke(this, deltaTime);
     }
 
     private static void StepRigidBody(IRigidBody2D rigidBody, float intervalDeltaTime)
@@ -108,20 +109,33 @@ public class PhysicsEngine2D : IPhysicsEngine2D
         rigidBody.Transform.Rotation += rigidBody.AngularVelocity * intervalDeltaTime;
     }
 
-    private void OnBehaviourAdded(IBehaviourController controller, IBehaviour behaviour)
+    protected override void OnEnteringHierarchy(IGameManager gameManager)
     {
-        if (behaviour is not ICollider2D collider2D)
-            return;
+        physicsUpdateCollector.Assign(gameManager);
+        colliderCollector.Assign(gameManager);
+        rigidBodyCollector.Assign(gameManager);
 
-        colliders.Add(collider2D);
+        gameManager.OnPreUpdate += OnEnginePreUpdate;
     }
 
-    private void OnBehaviourRemoved(IBehaviourController controller, IBehaviour behaviour)
+    protected override void OnExitingHierarchy(IGameManager gameManager)
     {
-        if (behaviour is not ICollider2D collider2D)
-            return;
+        physicsUpdateCollector.Unassign();
+        colliderCollector.Unassign();
+        rigidBodyCollector.Unassign();
 
-        colliders.Remove(collider2D);
+        gameManager.OnPreUpdate -= OnEnginePreUpdate;
+    }
+
+    private void OnEnginePreUpdate(IGameManager sender, EngineTime engineTime)
+    {
+        physicsTicker += engineTime.DeltaTime;
+
+        while (physicsTicker >= IterationPeriod)
+        {
+            physicsTicker -= IterationPeriod;
+            Step(IterationPeriod);
+        }
     }
 
     public PhysicsEngine2D()

Engine.Physics2D/PhysicsEngine2DCollector.cs

@@ -1,148 +0,0 @@
-using Syntriax.Engine.Core;
-using Syntriax.Engine.Core.Abstract;
-using Syntriax.Engine.Physics2D.Abstract;
-
-namespace Syntriax.Engine.Physics2D;
-
-public class PhysicsEngine2DCollector : IPhysicsEngine2D, IAssignableGameManager
-{
-    public event IAssignable.OnUnassignedDelegate? OnUnassigned = null;
-    public event IAssignableGameManager.OnGameManagerAssignedDelegate? OnGameManagerAssigned = null;
-
-
-    private int _iterationPerStep = 1;
-
-    protected readonly ICollisionDetector2D collisionDetector = null!;
-    protected readonly ICollisionResolver2D collisionResolver = null!;
-
-    protected BehaviourCollector<IRigidBody2D> rigidBodyCollector = new();
-    protected BehaviourCollector<ICollider2D> colliderCollector = new();
-
-
-    public int IterationPerStep { get => _iterationPerStep; set => _iterationPerStep = value < 1 ? 1 : value; }
-    public IGameManager GameManager { get; private set; } = null!;
-
-    public void Step(float deltaTime)
-    {
-        float intervalDeltaTime = deltaTime / IterationPerStep;
-
-        for (int iterationIndex = 0; iterationIndex < IterationPerStep; iterationIndex++)
-        {
-            // Can Parallel
-            foreach (var rigidBody in rigidBodyCollector)
-                StepRigidBody(rigidBody, intervalDeltaTime);
-
-            // Can Parallel
-            foreach (var collider in colliderCollector)
-                collider.Recalculate();
-
-            // Can Parallel
-            for (int x = 0; x < colliderCollector.Behaviours.Count; x++)
-            {
-                ICollider2D? colliderX = colliderCollector.Behaviours[x];
-                if (!colliderX.IsActive)
-                    return;
-
-                for (int y = x + 1; y < colliderCollector.Behaviours.Count; y++)
-                {
-                    ICollider2D? colliderY = colliderCollector.Behaviours[y];
-
-                    if (!colliderY.IsActive)
-                        return;
-
-                    if (colliderX.RigidBody2D == colliderY.RigidBody2D)
-                        continue;
-
-                    bool bothCollidersAreTriggers = colliderX.IsTrigger && colliderX.IsTrigger == colliderY.IsTrigger;
-                    if (bothCollidersAreTriggers)
-                        continue;
-
-                    bool bothCollidersAreStatic = colliderX.RigidBody2D?.IsStatic ?? true && colliderX.RigidBody2D?.IsStatic == colliderY.RigidBody2D?.IsStatic;
-                    if (bothCollidersAreStatic)
-                        continue;
-
-                    if (collisionDetector.TryDetect(colliderX, colliderY, out CollisionDetectionInformation information))
-                    {
-                        if (colliderX.IsTrigger)
-                        {
-                            colliderX.Trigger(colliderY);
-                            continue;
-                        }
-                        else if (colliderY.IsTrigger)
-                        {
-                            colliderY.Trigger(colliderY);
-                            continue;
-                        }
-
-                        colliderX.Detect(information);
-                        colliderY.Detect(information);
-
-                        collisionResolver?.Resolve(information);
-                    }
-                }
-            }
-        }
-    }
-
-    private static void StepRigidBody(IRigidBody2D rigidBody, float intervalDeltaTime)
-    {
-        if (rigidBody.IsStatic || !rigidBody.IsActive)
-            return;
-
-        rigidBody.Transform.Position += rigidBody.Velocity * intervalDeltaTime;
-        rigidBody.Transform.Rotation += rigidBody.AngularVelocity * intervalDeltaTime;
-    }
-
-    public bool Assign(IGameManager gameManager)
-    {
-        if (GameManager is not null)
-            return false;
-
-        colliderCollector.Assign(gameManager);
-        rigidBodyCollector.Assign(gameManager);
-
-        GameManager = gameManager;
-        OnGameManagerAssigned?.Invoke(this);
-
-        return true;
-    }
-
-    public bool Unassign()
-    {
-        if (GameManager is null)
-            return false;
-
-        colliderCollector.Unassign();
-        rigidBodyCollector.Unassign();
-
-        GameManager = null!;
-        OnUnassigned?.Invoke(this);
-        return true;
-    }
-
-    public PhysicsEngine2DCollector()
-    {
-        collisionDetector = new CollisionDetector2D();
-        collisionResolver = new CollisionResolver2D();
-    }
-
-    public PhysicsEngine2DCollector(IGameManager gameManager)
-    {
-        Assign(gameManager);
-        collisionDetector = new CollisionDetector2D();
-        collisionResolver = new CollisionResolver2D();
-    }
-
-    public PhysicsEngine2DCollector(IGameManager gameManager, ICollisionDetector2D collisionDetector, ICollisionResolver2D collisionResolver)
-    {
-        Assign(gameManager);
-        this.collisionDetector = collisionDetector;
-        this.collisionResolver = collisionResolver;
-    }
-
-    public PhysicsEngine2DCollector(ICollisionDetector2D collisionDetector, ICollisionResolver2D collisionResolver)
-    {
-        this.collisionDetector = collisionDetector;
-        this.collisionResolver = collisionResolver;
-    }
-}

Engine.Physics2D/PhysicsEngine2DStandalone.cs

@@ -0,0 +1,150 @@
+using System.Collections.Generic;
+
+using Syntriax.Engine.Core.Abstract;
+using Syntriax.Engine.Physics2D.Abstract;
+
+namespace Syntriax.Engine.Physics2D;
+
+public class PhysicsEngine2DStandalone : IPhysicsEngine2D
+{
+    public event IPhysicsEngine2D.PhysicsIterationEventHandler? OnPhysicsIteration = null;
+    public event IPhysicsEngine2D.PhysicsStepEventHandler? OnPhysicsStep = null;
+
+    private readonly List<IRigidBody2D> rigidBodies = new(32);
+    private readonly List<ICollider2D> colliders = new(64);
+
+    private int _iterationCount = 1;
+
+    private readonly ICollisionDetector2D collisionDetector = null!;
+    private readonly ICollisionResolver2D collisionResolver = null!;
+
+    public int IterationPerStep { get => _iterationCount; set => _iterationCount = value < 1 ? 1 : value; }
+
+    public void AddRigidBody(IRigidBody2D rigidBody)
+    {
+        if (rigidBodies.Contains(rigidBody))
+            return;
+
+        rigidBodies.Add(rigidBody);
+
+        foreach (ICollider2D collider2D in rigidBody.BehaviourController.GetBehaviours<ICollider2D>())
+            colliders.Add(collider2D);
+
+        rigidBody.BehaviourController.OnBehaviourAdded += OnBehaviourAdded;
+        rigidBody.BehaviourController.OnBehaviourRemoved += OnBehaviourRemoved;
+    }
+
+    public void RemoveRigidBody(IRigidBody2D rigidBody)
+    {
+        rigidBodies.Remove(rigidBody);
+    }
+
+    public void Step(float deltaTime)
+    {
+        float intervalDeltaTime = deltaTime / IterationPerStep;
+
+        for (int iterationIndex = 0; iterationIndex < IterationPerStep; iterationIndex++)
+        {
+            // Can Parallel
+            for (int i = 0; i < rigidBodies.Count; i++)
+                StepRigidBody(rigidBodies[i], intervalDeltaTime);
+
+            // Can Parallel
+            foreach (ICollider2D collider in colliders)
+                collider.Recalculate();
+
+            // Can Parallel
+            for (int x = 0; x < colliders.Count; x++)
+            {
+                ICollider2D? colliderX = colliders[x];
+                if (!colliderX.IsActive)
+                    return;
+
+                for (int y = x + 1; y < colliders.Count; y++)
+                {
+                    ICollider2D? colliderY = colliders[y];
+
+                    if (!colliderY.IsActive)
+                        return;
+
+                    if (colliderX.RigidBody2D == colliderY.RigidBody2D)
+                        continue;
+
+                    bool bothCollidersAreTriggers = colliderX.IsTrigger && colliderX.IsTrigger == colliderY.IsTrigger;
+                    if (bothCollidersAreTriggers)
+                        continue;
+
+                    bool bothCollidersAreStatic = (colliderX.RigidBody2D?.IsStatic ?? true) && (colliderY.RigidBody2D?.IsStatic ?? true);
+                    if (bothCollidersAreStatic)
+                        continue;
+
+                    if (collisionDetector.TryDetect(colliderX, colliderY, out CollisionDetectionInformation information))
+                    {
+                        if (colliderX.IsTrigger)
+                        {
+                            colliderX.Trigger(colliderY);
+                            continue;
+                        }
+                        else if (colliderY.IsTrigger)
+                        {
+                            colliderY.Trigger(colliderX);
+                            continue;
+                        }
+
+                        if (information.Detector == colliderX)
+                        {
+                            colliderX.Detect(information);
+                            colliderY.Detect(information.Reverse());
+                        }
+                        else
+                        {
+                            colliderX.Detect(information.Reverse());
+                            colliderY.Detect(information);
+                        }
+
+                        collisionResolver?.Resolve(information);
+                    }
+                }
+            }
+            OnPhysicsIteration?.Invoke(this, intervalDeltaTime);
+        }
+        OnPhysicsStep?.Invoke(this, deltaTime);
+    }
+
+    private static void StepRigidBody(IRigidBody2D rigidBody, float intervalDeltaTime)
+    {
+        if (rigidBody.IsStatic || !rigidBody.IsActive)
+            return;
+
+        rigidBody.Transform.Position += rigidBody.Velocity * intervalDeltaTime;
+        rigidBody.Transform.Rotation += rigidBody.AngularVelocity * intervalDeltaTime;
+    }
+
+    private void OnBehaviourAdded(IBehaviourController controller, IBehaviour behaviour)
+    {
+        if (behaviour is not ICollider2D collider2D)
+            return;
+
+        colliders.Add(collider2D);
+    }
+
+    private void OnBehaviourRemoved(IBehaviourController controller, IBehaviour behaviour)
+    {
+        if (behaviour is not ICollider2D collider2D)
+            return;
+
+        colliders.Remove(collider2D);
+    }
+
+    public PhysicsEngine2DStandalone()
+    {
+        collisionDetector = new CollisionDetector2D();
+        collisionResolver = new CollisionResolver2D();
+    }
+
+    public PhysicsEngine2DStandalone(ICollisionDetector2D collisionDetector, ICollisionResolver2D collisionResolver)
+    {
+        this.collisionDetector = collisionDetector;
+        this.collisionResolver = collisionResolver;
+    }
+}

Engine.Physics2D/Primitives/LineEquation.cs

@@ -1,64 +0,0 @@
-using Syntriax.Engine.Core;
-
-namespace Syntriax.Engine.Physics2D.Primitives;
-
-/// <summary>
-/// Represents a line equation in the form y = mx + b.
-/// </summary>
-/// <param name="slope">The slope of the line.</param>
-/// <param name="offsetY">The y-intercept of the line.</param>
-/// <remarks>
-/// Initializes a new instance of the <see cref="LineEquation"/> struct with the specified slope and y-intercept.
-/// </remarks>
-[System.Diagnostics.DebuggerDisplay("y = {Slope}x + {OffsetY}")]
-public readonly struct LineEquation(float slope, float offsetY)
-{
-    /// <summary>
-    /// The slope of the line equation.
-    /// </summary>
-    public readonly float Slope = slope;
-
-    /// <summary>
-    /// The y-intercept of the line equation.
-    /// </summary>
-    public readonly float OffsetY = offsetY;
-
-    /// <summary>
-    /// Resolves the y-coordinate for a given x-coordinate using the line equation.
-    /// </summary>
-    /// <param name="lineEquation">The line equation to resolve.</param>
-    /// <param name="x">The x-coordinate for which to resolve the y-coordinate.</param>
-    /// <returns>The y-coordinate resolved using the line equation.</returns>
-    public static float Resolve(LineEquation lineEquation, float x) => lineEquation.Slope * x + lineEquation.OffsetY; // y = mx + b
-
-    /// <summary>
-    /// Checks if two line equations are approximately equal.
-    /// </summary>
-    /// <param name="left">The first line equation to compare.</param>
-    /// <param name="right">The second line equation to compare.</param>
-    /// <returns>True if the line equations are approximately equal; otherwise, false.</returns>
-    public static bool ApproximatelyEquals(LineEquation left, LineEquation right)
-        => left.Slope.ApproximatelyEquals(right.Slope) && left.OffsetY.ApproximatelyEquals(right.OffsetY);
-}
-
-/// <summary>
-/// Provides extension methods for the LineEquation struct.
-/// </summary>
-public static class LineEquationExtensions
-{
-    /// <summary>
-    /// Resolves the y-coordinate for a given x-coordinate using the line equation.
-    /// </summary>
-    /// <param name="lineEquation">The line equation to resolve.</param>
-    /// <param name="x">The x-coordinate for which to resolve the y-coordinate.</param>
-    /// <returns>The y-coordinate resolved using the line equation.</returns>
-    public static float Resolve(this LineEquation lineEquation, float x) => LineEquation.Resolve(lineEquation, x);
-
-    /// <summary>
-    /// Checks if two line equations are approximately equal.
-    /// </summary>
-    /// <param name="left">The first line equation to compare.</param>
-    /// <param name="right">The second line equation to compare.</param>
-    /// <returns>True if the line equations are approximately equal; otherwise, false.</returns>
-    public static bool ApproximatelyEquals(this LineEquation left, LineEquation right) => LineEquation.ApproximatelyEquals(left, right);
-}

Engine.Physics2D/Primitives/Shape.cs

@@ -1,294 +0,0 @@
-using System.Collections;
-using System.Collections.Generic;
-
-using Syntriax.Engine.Core;
-using Syntriax.Engine.Core.Abstract;
-
-namespace Syntriax.Engine.Physics2D.Primitives;
-
-/// <summary>
-/// Represents a shape defined by a collection of vertices.
-/// </summary>
-/// <param name="vertices">The vertices of the shape.</param>
-/// <remarks>
-/// Initializes a new instance of the <see cref="Shape"/> struct with the specified vertices.
-/// </remarks>
-[System.Diagnostics.DebuggerDisplay("Vertices Count: {Vertices.Count}")]
-public readonly struct Shape(List<Vector2D> vertices) : IEnumerable<Vector2D>
-{
-    public static readonly Shape Triangle = CreateNgon(3, Vector2D.Up);
-    public static readonly Shape Box = CreateNgon(4, Vector2D.One);
-    public static readonly Shape Pentagon = CreateNgon(5, Vector2D.Up);
-    public static readonly Shape Hexagon = CreateNgon(6, Vector2D.Right);
-
-    private readonly List<Vector2D> _verticesList = vertices;
-
-    /// <summary>
-    /// Gets the vertices of the shape.
-    /// </summary>
-    public IReadOnlyList<Vector2D> Vertices => _verticesList;
-
-    /// <summary>
-    /// The vertex at the specified index.
-    /// </summary>
-    /// <param name="index">The zero-based index of the vertex to get or set.</param>
-    /// <returns>The vertex at the specified index.</returns>
-    public Vector2D this[System.Index index] => Vertices[index];
-
-    /// <summary>
-    /// Returns a copy of the current shape.
-    /// </summary>
-    /// <param name="shape">The shape to copy.</param>
-    /// <returns>A copy of the input shape.</returns>
-    public static Shape CreateCopy(Shape shape) => new(new List<Vector2D>(shape.Vertices));
-
-    /// <summary>
-    /// Creates a regular polygon (ngon) with the specified number of vertices.
-    /// </summary>
-    /// <param name="vertexCount">The number of vertices in the polygon.</param>
-    /// <returns>A regular polygon with the specified number of vertices.</returns>
-    public static Shape CreateNgon(int vertexCount) => CreateNgon(vertexCount, Vector2D.Up);
-
-    /// <summary>
-    /// Creates a regular polygon (ngon) with the specified number of vertices and a rotation position.
-    /// </summary>
-    /// <param name="vertexCount">The number of vertices in the polygon.</param>
-    /// <param name="positionToRotate">The position to use for rotation.</param>
-    /// <returns>A regular polygon with the specified number of vertices and rotation position.</returns>
-    public static Shape CreateNgon(int vertexCount, Vector2D positionToRotate)
-    {
-        if (vertexCount < 3)
-            throw new System.ArgumentException($"{nameof(vertexCount)} must have a value of more than 2.");
-
-        List<Vector2D> vertices = new(vertexCount);
-
-        float radiansPerVertex = 360f / vertexCount * Math.DegreeToRadian;
-
-        for (int i = 0; i < vertexCount; i++)
-            vertices.Add(positionToRotate.Rotate(i * radiansPerVertex));
-
-        return new(vertices);
-    }
-
-    /// <summary>
-    /// Gets the super triangle that encloses the given shape.
-    /// </summary>
-    /// <param name="shape">The shape to enclose.</param>
-    /// <returns>The super triangle that encloses the given shape.</returns>
-    public static Triangle GetSuperTriangle(Shape shape)
-    {
-        float minX = float.MaxValue, minY = float.MaxValue;
-        float maxX = float.MinValue, maxY = float.MinValue;
-
-        foreach (Vector2D point in shape.Vertices)
-        {
-            minX = Math.Min(minX, point.X);
-            minY = Math.Min(minY, point.Y);
-            maxX = Math.Max(maxX, point.X);
-            maxY = Math.Max(maxY, point.Y);
-        }
-
-        float dx = maxX - minX;
-        float dy = maxY - minY;
-        float deltaMax = Math.Max(dx, dy);
-        float midX = (minX + maxX) / 2;
-        float midY = (minY + maxY) / 2;
-
-        Vector2D p1 = new((float)midX - 20f * (float)deltaMax, (float)midY - (float)deltaMax);
-        Vector2D p2 = new((float)midX, (float)midY + 20 * (float)deltaMax);
-        Vector2D p3 = new((float)midX + 20 * (float)deltaMax, (float)midY - (float)deltaMax);
-
-        return new Triangle(p1, p2, p3);
-    }
-
-    /// <summary>
-    /// Gets the lines that form the edges of the shape.
-    /// </summary>
-    /// <param name="shape">The shape to get lines from.</param>
-    /// <param name="lines">The list to populate with lines.</param>
-    public static void GetLines(Shape shape, IList<Line> lines)
-    {
-        lines.Clear();
-        for (int i = 0; i < shape.Vertices.Count - 1; i++)
-            lines.Add(new(shape.Vertices[i], shape.Vertices[i + 1]));
-        lines.Add(new(shape.Vertices[^1], shape.Vertices[0]));
-    }
-
-    /// <summary>
-    /// Gets a list of lines that form the edges of the shape.
-    /// </summary>
-    /// <param name="shape">The shape to get lines from.</param>
-    /// <returns>A list of lines that form the edges of the shape.</returns>
-    public static List<Line> GetLines(Shape shape)
-    {
-        List<Line> lines = new(shape.Vertices.Count - 1);
-        GetLines(shape, lines);
-        return lines;
-    }
-
-    /// <summary>
-    /// Projects the shape onto a vector.
-    /// </summary>
-    /// <param name="shape">The shape to project.</param>
-    /// <param name="projectionVector">The vector to project onto.</param>
-    /// <param name="list">The list to populate with projected values.</param>
-    public static void Project(Shape shape, Vector2D projectionVector, IList<float> list)
-    {
-        list.Clear();
-
-        int count = shape.Vertices.Count;
-        for (int i = 0; i < count; i++)
-            list.Add(projectionVector.Dot(shape[i]));
-    }
-
-    /// <summary>
-    /// Projects the shape onto a vector.
-    /// </summary>
-    /// <param name="shape">The shape to project.</param>
-    /// <param name="projectionVector">The vector to project onto.</param>
-    /// <returns>The projection of the shape onto the vector.</returns>
-    public static Projection Project(Shape shape, Vector2D projectionVector)
-    {
-        float min = float.MaxValue;
-        float max = float.MinValue;
-
-        for (int i = 0; i < shape.Vertices.Count; i++)
-        {
-            float projectedLength = projectionVector.Dot(shape.Vertices[i]);
-            min = Math.Min(projectedLength, min);
-            max = Math.Max(projectedLength, max);
-        }
-
-        return new(min, max);
-    }
-
-    /// <summary>
-    /// Transforms the shape using the specified transform.
-    /// </summary>
-    /// <param name="shape">The shape to transform.</param>
-    /// <param name="transform">The transform to apply.</param>
-    /// <returns>The transformed shape.</returns>
-    public static Shape TransformShape(Shape shape, ITransform transform)
-    {
-        List<Vector2D> vertices = new(shape.Vertices.Count);
-
-        int count = shape.Vertices.Count;
-        for (int i = 0; i < count; i++)
-            vertices.Add(transform.TransformVector2D(shape[i]));
-
-        return new Shape(vertices);
-    }
-
-    /// <summary>
-    /// Transforms the shape using the specified transform.
-    /// </summary>
-    /// <param name="from">The shape to transform.</param>
-    /// <param name="transform">The transform to apply.</param>
-    /// <param name="to">The transformed shape.</param>
-    public static void TransformShape(Shape from, ITransform transform, ref Shape to)
-    {
-        to._verticesList.Clear();
-
-        int count = from._verticesList.Count;
-        for (int i = 0; i < count; i++)
-            to._verticesList.Add(transform.TransformVector2D(from[i]));
-    }
-
-    /// <summary>
-    /// Determines whether two shapes are approximately equal.
-    /// </summary>
-    /// <param name="left">The first shape to compare.</param>
-    /// <param name="right">The second shape to compare.</param>
-    /// <returns><c>true</c> if the shapes are approximately equal; otherwise, <c>false</c>.</returns>
-    public static bool ApproximatelyEquals(Shape left, Shape right)
-    {
-        if (left.Vertices.Count != right.Vertices.Count)
-            return false;
-
-        for (int i = 0; i < left.Vertices.Count; i++)
-            if (!left.Vertices[i].ApproximatelyEquals(right.Vertices[i]))
-                return false;
-
-        return true;
-    }
-
-    /// <inheritdoc/>
-    public IEnumerator<Vector2D> GetEnumerator() => Vertices.GetEnumerator();
-
-    /// <inheritdoc/>
-    IEnumerator IEnumerable.GetEnumerator() => Vertices.GetEnumerator();
-}
-
-/// <summary>
-/// Provides extension methods for the <see cref="Shape"/> struct.
-/// </summary>
-public static class ShapeExtensions
-{
-    /// <summary>
-    /// Creates a copy of the shape.
-    /// </summary>
-    /// <param name="shape">The shape to copy.</param>
-    /// <returns>A copy of the input shape.</returns>
-    public static Shape CreateCopy(this Shape shape) => Shape.CreateCopy(shape);
-
-    /// <summary>
-    /// Gets the super triangle that encloses the shape.
-    /// </summary>
-    /// <param name="shape">The shape to enclose.</param>
-    /// <returns>The super triangle that encloses the shape.</returns>
-    public static Triangle ToSuperTriangle(this Shape shape) => Shape.GetSuperTriangle(shape);
-
-    /// <summary>
-    /// Gets the lines that form the edges of the shape.
-    /// </summary>
-    /// <param name="shape">The shape to get lines from.</param>
-    /// <param name="lines">The list to populate with lines.</param>
-    public static void ToLines(this Shape shape, IList<Line> lines) => Shape.GetLines(shape, lines);
-
-    /// <summary>
-    /// Gets a list of lines that form the edges of the shape.
-    /// </summary>
-    /// <param name="shape">The shape to get lines from.</param>
-    /// <returns>A list of lines that form the edges of the shape.</returns>
-    public static List<Line> ToLines(this Shape shape) => Shape.GetLines(shape);
-
-    /// <summary>
-    /// Projects the shape onto a vector.
-    /// </summary>
-    /// <param name="shape">The shape to project.</param>
-    /// <param name="projectionVector">The vector to project onto.</param>
-    /// <param name="list">The list to populate with projected values.</param>
-    public static void ToProjection(this Shape shape, Vector2D projectionVector, IList<float> list) => Shape.Project(shape, projectionVector, list);
-
-    /// <summary>
-    /// Projects the shape onto a vector.
-    /// </summary>
-    /// <param name="shape">The shape to project.</param>
-    /// <param name="projectionVector">The vector to project onto.</param>
-    /// <returns>The projection of the shape onto the vector.</returns>
-    public static Projection ToProjection(this Shape shape, Vector2D projectionVector) => Shape.Project(shape, projectionVector);
-
-    /// <summary>
-    /// Transforms the shape using the specified transform.
-    /// </summary>
-    /// <param name="transform">The transform to apply.</param>
-    /// <param name="shape">The shape to transform.</param>
-    /// <returns>The transformed shape.</returns>
-    public static Shape TransformShape(this ITransform transform, Shape shape) => Shape.TransformShape(shape, transform);
-
-    /// <summary>
-    /// Transforms the shape using the specified transform.
-    /// </summary>
-    /// <param name="transform">The transform to apply.</param>
-    /// <param name="from">The shape to transform.</param>
-    /// <param name="to">The transformed shape.</param>
-    public static void TransformShape(this ITransform transform, Shape from, ref Shape to) => Shape.TransformShape(from, transform, ref to);
-
-    /// <summary>
-    /// Determines whether two shapes are approximately equal.
-    /// </summary>
-    /// <param name="left">The first shape to compare.</param>
-    /// <param name="right">The second shape to compare.</param>
-    /// <returns><c>true</c> if the shapes are approximately equal; otherwise, <c>false</c>.</returns>
-    public static bool ApproximatelyEquals(this Shape left, Shape right) => Shape.ApproximatelyEquals(left, right);
-}

Engine.Physics2D/RigidBody2D.cs

@@ -1,17 +1,13 @@
 using Syntriax.Engine.Core;
-using Syntriax.Engine.Core.Abstract;
 using Syntriax.Engine.Physics2D.Abstract;
 
 namespace Syntriax.Engine.Physics2D;
 
-public class RigidBody2D : BehaviourOverride, IRigidBody2D
+public class RigidBody2D : Behaviour2D, IRigidBody2D
 {
-    event IAssignableTransform.OnTransformAssignedDelegate? IAssignableTransform.OnTransformAssigned { add => GameObject.OnTransformAssigned += value; remove => GameObject.OnTransformAssigned -= value; }
-
     private const float LOWEST_ALLOWED_MASS = 0.00001f;
     private float _mass = 1f;
 
-
     public IPhysicsMaterial2D Material { get; set; } = new PhysicsMaterial2DDefault();
 
     public Vector2D Velocity { get; set; } = Vector2D.Zero;
@@ -19,9 +15,4 @@ public class RigidBody2D : BehaviourOverride, IRigidBody2D
     public bool IsStatic { get; set; } = false;
 
     public float Mass { get => _mass; set => _mass = Core.Math.Max(value, LOWEST_ALLOWED_MASS); }
-
-    ITransform IAssignableTransform.Transform => Transform;
-
-
-    public bool Assign(ITransform transform) => GameObject.Assign(transform);
 }

Engine.Systems/Engine.Systems.csproj

@@ -4,9 +4,11 @@
     <TargetFramework>net8.0</TargetFramework>
     <ImplicitUsings>enable</ImplicitUsings>
     <Nullable>enable</Nullable>
+    <RootNamespace>Syntriax.Engine.Systems</RootNamespace>
   </PropertyGroup>
 
   <ItemGroup>
     <ProjectReference Include="..\Engine.Core\Engine.Core.csproj" />
   </ItemGroup>
+
 </Project>