Uniform polyhedron

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

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

The 75 nonprismatic uniform polyhedra include:

• 5 Platonic solid regular convex polyhedra
• 4 Kepler-Poinsot solid regular non-convex polyhedra
• 13 Archimedean solid semiregular convex polyhedra
• 53 Remaining non-convex polyhedra are listed here

See also

• List of uniform polyhedra
  • Semiregular polyhedra
• Polyhedron
• Polyhedron model

External links

• Uniform Solution for Uniform Polyhedra
• The Uniform Polyhedra
• Virtual Polyhedra Uniform Polyhedra
• Eric W. Weisstein. "Uniform Polyhedron." From MathWorld--A Wolfram Web Resource.