Struct hexasphere::IcoSphereBase

pub struct IcoSphereBase;

Implements an icosahedron as the base shape.

• 12 vertices
• 20 faces
• 30 edges

This shape has the best results for a sphere.

The resulting smaller triangles are close to being equilateral, so if one draws lines from the center of the each triangle to the middle of the each edge then the result will be 12 pentagons and many hexagons.

Trait Implementations

impl BaseShape for IcoSphereBase

fn initial_points(&self) -> &'static [Vec3A]

The initial vertices for the triangle. Note that Vec3A::new is not a const fn(), hence I recommend you use lazy_static. Check the source file for this crate and look for the constants module at the bottom for an example.

fn triangles(&self) -> &'static [Triangle]

Base triangles for the shape.

const EDGES: usize

Number of unique edges defined in the contents of triangles(). This number is 5 for a square for example: text a - 0 - b | / | 3 4 1 | / | d - 2 - c

fn interpolate(&self, a: Vec3A, b: Vec3A, p: f32) -> Vec3A

Basic function used for interpolation. When p is 0.0, a is expected. When p is 1.0, b is expected. There are three options already implemented in this crate: - [lerp] implements linear interpolation. - [geometric_slerp] implements spherical interpolation. (Interpolates along an arc on a sphere) - [normalized_lerp] implements cheaper yet less accurate spherical interpolation. The accuracy decreases as the angle between the two points on the unit sphere increases.

fn interpolate_half(&self, a: Vec3A, b: Vec3A) -> Vec3A

If an optimization is available for the case where p is 0.5, this function should implement it. This defaults to calling interpolate(a, b, 0.5) however.

fn interpolate_multiple(
    &self,
    a: Vec3A,
    b: Vec3A,
    indices: &[u32],
    points: &mut [Vec3A]
)

If an optimization is available for the case where p varies but a and b don't this function should implement it.

impl Clone for IcoSphereBase

fn clone(&self) -> IcoSphereBase

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for IcoSphereBase

impl Debug for IcoSphereBase

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

Formats the value using the given formatter.

impl Default for IcoSphereBase

fn default() -> IcoSphereBase

Returns the "default value" for a type.

impl EquilateralBaseShape for IcoSphereBase

fn triangle_normals() -> &'static [Vec3A]

Normals for each of the triangles provided by BaseShape::triangles.

fn triangle_min_dot() -> f32

Minimum value for the dot product which one could use to determine that triangle being the closest.