List of uniform polyhedra

There are 75 non-prismatic uniform polyhedra, not including the infinite families of polygonal prisms and antiprisms. 5 are regular and convex, 4 are regular and nonconvex, 13 are nonregular and convex, and 53 are nonregular and nonconvex.

A large amount of near-miss uniform polyhedra may also be constructed. These polyhedra are isogonal and all of their faces are either regular or almost regular. Some of the near-misses are semi-uniform.