In geometry, a uniform polyteron (or uniform 5-polytope) is a five-dimensional uniform polytope. By definition, a uniform polyteron is vertex-transitive and constructed from uniform polychoron facets.
The complete set of convex uniform polytera has not been determined, but most can be made as Wythoff constructions from a small set of symmetry groups. These construction operations are represented by the permutations of rings of the Coxeter-Dynkin diagrams.
Read more about Uniform 5-polytope: Regular 5-polytopes, Convex Uniform 5-polytopes, Notes On The Wythoff Construction For The Uniform 5-polytopes, Regular and Uniform Honeycombs
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