Platonic Solids

platonic.h all the geometry

platonic.c OpenGL draw calls

• point, line, face geometry, dihedral angle, midradius, inradius, side length, volume
• polyhedra are aligned according to their duals (each face lies along its dual's point)
  • the array indices are aligned, a face index is its dual's point index
  • (this means an object's point data is its dual's face normal data)
• the triangle solids- at least one vertex lies along +X axis, and if possible another along +Y
• hexahedron and dodecahedron are face-aligned along +X (since they are aligned to their duals)
• each polyhedra is centered at origin
• each polyhedra's circumradius is 1.0 (center to point)
• clockwise winding
• only uses gl_triangles (OpenGL ES compatible)

example: scale by consecutive midradii

try it out

• example app is cross-platform Mac, Linux, Windows
• type make then make run

input

• 1 - 5 select between: tetra, octa, hexa, icosa, dodeca
• SPACE BAR toggle faces/lines/points
• D superimpose polyhedra's dual

license

MIT