hexasphere

Library for subdividing shapes, such as an icosahedron. This provides abstractions for almost anything to be possible, however there are many predetermined shapes.

In the case of the icosphere:

Geometry:

This starts off with an icoashedron, and then proceeds to subdivide it. The subdivided points form the dual to a goldberg polyhedron. In essence, each point on this sphere is either a hexagon or a pentagon.

Interpolation:

Points are interpolated using the geometric slerp function to preserve their accuracy.

Features

• Base shapes
  • Icosahedron
  • Tetrahedron
  • Triangle
  • Square
  • Cube
• Interpolation functions
  • Spherical interpolation
  • Linear interpolation
  • Normalized linear interpolation
• Basic optimizations for p == 0.5 in interpolation.
• An adjacency (neighbour) map which can be generated from the indices that this library creates.

A few more optimizations are coming, along with more options for generation:

• Remove nested triangle layers by placing them into their own Vec.
• Allow interpolation functions to have access to state. (This would permit certain things such as sampling noise as part of the generation).