Uniform polyhedra are bounded by regular polygons, and possess symmetries such that all vertices are equivalent. This definition is broad enough so that, included within the uniform polyhedra, we find the five Platonic solids, the thirteen Archimedean solids, the four Kepler-Poinsot star-polyhedra, and many other lovely and complex star-polyhedra. Also within the pale are the infinite sets of right regular prisms and antiprisms, although these are not included here.
The #include files found below are numbered from 1 to 75, according to Roman Maeder's scheme in his Mathematica package, "Uniform Polyhedra." To the pure list of faces, I have added lists of spheres (one on each vertex) and cylinders (one on each edge). The sample scene file provided, "Uniform.pov" illustrates the syntax used for setting the radii of the spheres and cyclinders, and calling the #include file. The polyhedra are oriented in such a way that at least one vertex lies on the z axis, and they are centered upon the origin.
Download the whole package with all files: