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
Famous quotes containing the word uniform:
“When a uniform exercise of kindness to prisoners on our part has been returned by as uniform severity on the part of our enemies, you must excuse me for saying it is high time, by other lessons, to teach respect to the dictates of humanity; in such a case, retaliation becomes an act of benevolence.”
—Thomas Jefferson (1743–1826)