Waterman Polyhedra

Other geometric primitives can be used instead of spheres. This PovRay scene file waterman2.pov will create such forms, indeed it can be easily modified to include any PovRay object [Update: a modified/extended version created by Steve Waterman (March 2006) polyhedra.zip]. The original version supports the platonic solids, you will need the following files: cube.pov, octahedron.pov, dodecahedron.pov, icosahedron.pov, and tetrahedron.pov.
Root: 5	Cube	Dodecahedra
Root: 21	Cube	Icosahedra
Even other Waterman polyhedra can be used instead of spheres. This PovRay file (waterman3.pov) constructs these. For a list of sphere and polyhedra models in PovRay format that can be used with this file, see the first 50 roots in this directory.
Root: 5
Root: 15
A good sense of the radial distribution can be illustrated by varying the colour as a function of radius.
Radial colour map	Root: 101	Root: 301
Radial colour map	Root: 1001	Root: 3001