# Struct bevy::math::primitives::Triangle3d

``````pub struct Triangle3d {
pub vertices: [Vec3; 3],
}``````
Expand description

A 3D triangle primitive.

## Fields§

§`vertices: [Vec3; 3]`

The vertices of the triangle.

## Implementations§

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### impl Triangle3d

#### pub fn new(a: Vec3, b: Vec3, c: Vec3) -> Triangle3d

Create a new `Triangle3d` from points `a`, `b`, and `c`.

#### pub fn normal(&self) -> Result<Dir3, InvalidDirectionError>

Get the normal of the triangle in the direction of the right-hand rule, assuming the vertices are ordered in a counter-clockwise direction.

The normal is computed as the cross product of the vectors `ab` and `ac`.

##### §Errors

Returns `Err(InvalidDirectionError)` if the length of the given vector is zero (or very close to zero), infinite, or `NaN`.

#### pub fn is_degenerate(&self) -> bool

Checks if the triangle is degenerate, meaning it has zero area.

A triangle is degenerate if the cross product of the vectors `ab` and `ac` has a length less than `10e-7`. This indicates that the three vertices are collinear or nearly collinear.

#### pub fn is_acute(&self) -> bool

Checks if the triangle is acute, meaning all angles are less than 90 degrees

#### pub fn is_obtuse(&self) -> bool

Checks if the triangle is obtuse, meaning one angle is greater than 90 degrees

#### pub fn reverse(&mut self)

Reverse the triangle by swapping the first and last vertices.

#### pub fn reversed(self) -> Triangle3d

This triangle but reversed.

#### pub fn centroid(&self) -> Vec3

Get the centroid of the triangle.

This function finds the geometric center of the triangle by averaging the vertices: `centroid = (a + b + c) / 3`.

#### pub fn largest_side(&self) -> (Vec3, Vec3)

Get the largest side of the triangle.

Returns the two points that form the largest side of the triangle.

#### pub fn circumcenter(&self) -> Vec3

Get the circumcenter of the triangle.

## Trait Implementations§

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### impl Bounded3d for Triangle3d

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#### fn aabb_3d(&self, translation: Vec3, rotation: Quat) -> Aabb3d

Get the bounding box of the triangle.

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#### fn bounding_sphere(&self, translation: Vec3, _rotation: Quat) -> BoundingSphere

Get the bounding sphere of the triangle.

The `Triangle3d` implements the minimal bounding sphere calculation. For acute triangles, the circumcenter is used as the center of the sphere. For the others, the bounding sphere is the minimal sphere that contains the largest side of the triangle.

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### impl Clone for Triangle3d

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#### fn clone(&self) -> Triangle3d

Returns a copy of the value. Read more
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#### fn clone_from(&mut self, source: &Self)

Performs copy-assignment from `source`. Read more
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### impl Debug for Triangle3d

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#### fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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### impl Default for Triangle3d

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#### fn default() -> Triangle3d

Returns the default `Triangle3d` with the vertices `[0.0, 0.5, 0.0]`, `[-0.5, -0.5, 0.0]`, and `[0.5, -0.5, 0.0]`.

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### impl<'de> Deserialize<'de> for Triangle3d

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#### fn deserialize<__D>( __deserializer: __D, ) -> Result<Triangle3d, <__D as Deserializer<'de>>::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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### impl From<Triangle3d> for Mesh

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#### fn from(triangle: Triangle3d) -> Mesh

Converts to this type from the input type.
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### impl FromReflect for Triangle3dwhere Triangle3d: Any + Send + Sync, [Vec3; 3]: FromReflect + TypePath + RegisterForReflection,

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#### fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<Triangle3d>

Constructs a concrete instance of `Self` from a reflected value.
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#### fn take_from_reflect( reflect: Box<dyn Reflect>, ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to `Self` using, constructing the value using `from_reflect` if that fails. Read more
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### impl GetTypeRegistration for Triangle3dwhere Triangle3d: Any + Send + Sync, [Vec3; 3]: FromReflect + TypePath + RegisterForReflection,

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#### fn get_type_registration() -> TypeRegistration

Returns the default `TypeRegistration` for this type.
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#### fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type. Read more
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### impl<'w, 's, Config, Clear> GizmoPrimitive3d<Triangle3d> for Gizmos<'w, 's, Config, Clear>where Config: GizmoConfigGroup, Clear: 'static + Send + Sync,

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#### type Output<'a> = ()where Gizmos<'w, 's, Config, Clear>: 'a

The output of `primitive_3d`. This is a builder to set non-default values.
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#### fn primitive_3d( &mut self, primitive: &Triangle3d, position: Vec3, rotation: Quat, color: impl Into<Color>, ) -> <Gizmos<'w, 's, Config, Clear> as GizmoPrimitive3d<Triangle3d>>::Output<'_>

Renders a 3D primitive with its associated details.
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### impl Measured2d for Triangle3d

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#### fn area(&self) -> f32

Get the area of the triangle.

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#### fn perimeter(&self) -> f32

Get the perimeter of the triangle.

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### impl Meshable for Triangle3d

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#### type Output = Triangle3dMeshBuilder

The output of `Self::mesh`. This will be a `MeshBuilder` used for creating a `Mesh`.
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#### fn mesh(&self) -> <Triangle3d as Meshable>::Output

Creates a `Mesh` for a shape.
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### impl PartialEq for Triangle3d

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#### fn eq(&self, other: &Triangle3d) -> bool

This method tests for `self` and `other` values to be equal, and is used by `==`.
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#### fn ne(&self, other: &Rhs) -> bool

This method tests for `!=`. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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### impl Reflect for Triangle3dwhere Triangle3d: Any + Send + Sync, [Vec3; 3]: FromReflect + TypePath + RegisterForReflection,

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#### fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the `TypeInfo` of the type represented by this value. Read more
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#### fn into_any(self: Box<Triangle3d>) -> Box<dyn Any>

Returns the value as a `Box<dyn Any>`.
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#### fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a `&dyn Any`.
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#### fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a `&mut dyn Any`.
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#### fn into_reflect(self: Box<Triangle3d>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.
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#### fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a reflected value.
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#### fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable reflected value.
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#### fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a `Reflect` trait object. Read more
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#### fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
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#### fn try_apply( &mut self, value: &(dyn Reflect + 'static), ) -> Result<(), ApplyError>

Tries to `apply` a reflected value to this value. Read more
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#### fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
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#### fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
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#### fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
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#### fn reflect_owned(self: Box<Triangle3d>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
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#### fn reflect_partial_eq(&self, value: &(dyn Reflect + 'static)) -> Option<bool>

Returns a “partial equality” comparison result. Read more
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#### fn debug(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Debug formatter for the value. Read more
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#### fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. Read more
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#### fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
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#### fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. Read more
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#### fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
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### impl Serialize for Triangle3d

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#### fn serialize<__S>( &self, __serializer: __S, ) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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### impl ShapeSample for Triangle3d

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#### type Output = Vec3

The type of vector returned by the sample methods, `Vec2` for 2D shapes and `Vec3` for 3D shapes.
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#### fn sample_interior<R>(&self, rng: &mut R) -> <Triangle3d as ShapeSample>::Outputwhere R: Rng + ?Sized,

Uniformly sample a point from inside the area/volume of this shape, centered on 0. Read more
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#### fn sample_boundary<R>(&self, rng: &mut R) -> <Triangle3d as ShapeSample>::Outputwhere R: Rng + ?Sized,

Uniformly sample a point from the surface of this shape, centered on 0. Read more
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#### fn interior_dist(self) -> impl Distribution<Self::Output>where Self: Sized,

Extract a `Distribution` whose samples are points of this shape’s interior, taken uniformly. Read more
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#### fn boundary_dist(self) -> impl Distribution<Self::Output>where Self: Sized,

Extract a `Distribution` whose samples are points of this shape’s boundary, taken uniformly. Read more
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### impl Struct for Triangle3dwhere Triangle3d: Any + Send + Sync, [Vec3; 3]: FromReflect + TypePath + RegisterForReflection,

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#### fn field(&self, name: &str) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field named `name` as a `&dyn Reflect`.
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#### fn field_mut(&mut self, name: &str) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field named `name` as a `&mut dyn Reflect`.
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#### fn field_at(&self, index: usize) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field with index `index` as a `&dyn Reflect`.
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#### fn field_at_mut(&mut self, index: usize) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field with index `index` as a `&mut dyn Reflect`.
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#### fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index `index`.
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#### fn field_len(&self) -> usize

Returns the number of fields in the struct.
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#### fn iter_fields(&self) -> FieldIter<'_> ⓘ

Returns an iterator over the values of the reflectable fields for this struct.
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#### fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a `DynamicStruct`.
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### impl TypePath for Triangle3dwhere Triangle3d: Any + Send + Sync,

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#### fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
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#### fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
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#### fn type_ident() -> Option<&'static str>

Returns the name of the type, or `None` if it is anonymous. Read more
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#### fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or `None` if it is anonymous. Read more
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#### fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or `None` if it is anonymous. Read more
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### impl Typed for Triangle3dwhere Triangle3d: Any + Send + Sync, [Vec3; 3]: FromReflect + TypePath + RegisterForReflection,

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#### fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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### impl<T> Any for Twhere T: 'static + ?Sized,

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#### fn type_id(&self) -> TypeId

Gets the `TypeId` of `self`. Read more
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### impl<T, U> AsBindGroupShaderType<U> for Twhere U: ShaderType, &'a T: for<'a> Into<U>,

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#### fn as_bind_group_shader_type(&self, _images: &RenderAssets<GpuImage>) -> U

Return the `T` `ShaderType` for `self`. When used in `AsBindGroup` derives, it is safe to assume that all images in `self` exist.
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### impl<T> Borrow<T> for Twhere T: ?Sized,

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#### fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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### impl<T> BorrowMut<T> for Twhere T: ?Sized,

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#### fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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### impl<T> Downcast for Twhere T: Any,

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#### fn into_any(self: Box<T>) -> Box<dyn Any>

Convert `Box<dyn Trait>` (where `Trait: Downcast`) to `Box<dyn Any>`. `Box<dyn Any>` can then be further `downcast` into `Box<ConcreteType>` where `ConcreteType` implements `Trait`.
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#### fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Convert `Rc<Trait>` (where `Trait: Downcast`) to `Rc<Any>`. `Rc<Any>` can then be further `downcast` into `Rc<ConcreteType>` where `ConcreteType` implements `Trait`.
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#### fn as_any(&self) -> &(dyn Any + 'static)

Convert `&Trait` (where `Trait: Downcast`) to `&Any`. This is needed since Rust cannot generate `&Any`’s vtable from `&Trait`’s.
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#### fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert `&mut Trait` (where `Trait: Downcast`) to `&Any`. This is needed since Rust cannot generate `&mut Any`’s vtable from `&mut Trait`’s.
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### impl<T> DowncastSync for Twhere T: Any + Send + Sync,

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#### fn into_any_arc(self: Arc<T>) -> Arc<dyn Any + Send + Sync>

Convert `Arc<Trait>` (where `Trait: Downcast`) to `Arc<Any>`. `Arc<Any>` can then be further `downcast` into `Arc<ConcreteType>` where `ConcreteType` implements `Trait`.
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### impl<T> From<T> for T

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#### fn from(t: T) -> T

Returns the argument unchanged.

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### impl<T> FromWorld for Twhere T: Default,

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#### fn from_world(_world: &mut World) -> T

Creates `Self` using data from the given `World`.
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### impl<S> GetField for Swhere S: Struct,

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#### fn get_field<T>(&self, name: &str) -> Option<&T>where T: Reflect,

Returns a reference to the value of the field named `name`, downcast to `T`.
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#### fn get_field_mut<T>(&mut self, name: &str) -> Option<&mut T>where T: Reflect,

Returns a mutable reference to the value of the field named `name`, downcast to `T`.
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### impl<T> GetPath for Twhere T: Reflect + ?Sized,

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#### fn reflect_path<'p>( &self, path: impl ReflectPath<'p>, ) -> Result<&(dyn Reflect + 'static), ReflectPathError<'p>>

Returns a reference to the value specified by `path`. Read more
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#### fn reflect_path_mut<'p>( &mut self, path: impl ReflectPath<'p>, ) -> Result<&mut (dyn Reflect + 'static), ReflectPathError<'p>>

Returns a mutable reference to the value specified by `path`. Read more
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#### fn path<'p, T>( &self, path: impl ReflectPath<'p>, ) -> Result<&T, ReflectPathError<'p>>where T: Reflect,

Returns a statically typed reference to the value specified by `path`. Read more
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#### fn path_mut<'p, T>( &mut self, path: impl ReflectPath<'p>, ) -> Result<&mut T, ReflectPathError<'p>>where T: Reflect,

Returns a statically typed mutable reference to the value specified by `path`. Read more
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### impl<T> Instrument for T

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#### fn instrument(self, span: Span) -> Instrumented<Self> ⓘ

Instruments this type with the provided `Span`, returning an `Instrumented` wrapper. Read more
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#### fn in_current_span(self) -> Instrumented<Self> ⓘ

Instruments this type with the current `Span`, returning an `Instrumented` wrapper. Read more
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### impl<T, U> Into<U> for Twhere U: From<T>,

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#### fn into(self) -> U

Calls `U::from(self)`.

That is, this conversion is whatever the implementation of `From<T> for U` chooses to do.

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### impl<T> IntoEither for T

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#### fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ

Converts `self` into a `Left` variant of `Either<Self, Self>` if `into_left` is `true`. Converts `self` into a `Right` variant of `Either<Self, Self>` otherwise. Read more
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#### fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘwhere F: FnOnce(&Self) -> bool,

Converts `self` into a `Left` variant of `Either<Self, Self>` if `into_left(&self)` returns `true`. Converts `self` into a `Right` variant of `Either<Self, Self>` otherwise. Read more
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### impl<T> NoneValue for Twhere T: Default,

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#### fn null_value() -> T

The none-equivalent value.
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### impl<T> Pointable for T

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#### const ALIGN: usize = _

The alignment of pointer.
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#### type Init = T

The type for initializers.
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#### unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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#### unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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#### unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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#### unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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Read this value from the supplied reader. Same as `ReadEndian::read_from_little_endian()`.
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Read this value from the supplied reader. Same as `ReadEndian::read_from_big_endian()`.
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Read this value from the supplied reader. Same as `ReadEndian::read_from_native_endian()`.
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### impl<T> Same for T

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#### type Output = T

Should always be `Self`
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### impl<T> ToOwned for Twhere T: Clone,

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#### type Owned = T

The resulting type after obtaining ownership.
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#### fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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#### fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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### impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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#### type Error = Infallible

The type returned in the event of a conversion error.
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#### fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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### impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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#### type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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#### fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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### impl<T> WithSubscriber for T

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#### fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self> ⓘwhere S: Into<Dispatch>,

Attaches the provided `Subscriber` to this type, returning a `WithDispatch` wrapper. Read more
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#### fn with_current_subscriber(self) -> WithDispatch<Self> ⓘ

Attaches the current default `Subscriber` to this type, returning a `WithDispatch` wrapper. Read more
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