User:Paul D. Anderson/sandbox

A uniform polyhedron is a polyhedron with regular polygon faces and identical vertices. Uniform polyhedra are semi-regular but the faces and vertices need not be convex.

Exclusive of the infinite sets of prisms and antiprisms, there are 75 uniform polyhedra.

The convex uniform polyhedra include the five Platonic solids, the thirteen Archimedean solids, and the convex prisms and antiprisms.

The non-convex uniform polyhedra include the four Kepler-Poinsot solids, 53 additional non-convex uniform polyhedra, and the non-convex prisms, antiprisms and crossed antiprisms.