The uniform polychora are four-dimensional analogs of the uniform polyhedra. In fact, the uniform polyhedra are cells of the uniform polychora. There are more than 8000 known uniform polychora. The vertex figures of uniform polychora are always vertex-inscriptable in hyperspheres.
Uniform Polychoron
See also
Polychoron, Uniform Distribution Theory, Uniform PolyhedronExplore with Wolfram|Alpha
References
Olshevsky, G. "Uniform Polytopes in Four Dimensions." http://members.aol.com/Polycell/uniform.html.Referenced on Wolfram|Alpha
Uniform PolychoronCite this as:
Weisstein, Eric W. "Uniform Polychoron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UniformPolychoron.html