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Uniform Circumradius Ranking

Uniform Polytopes Circumradius Rank

This page (or, well, series of pages) ranks convex uniform polytopes of non-infinite families by their circumradius.

A uniform polytope is a polytope that is isogonal and has uniform facets. For polyhedra, the set of convex uniform polyhedra is precisely the five Platonic solids, the thirteen Archimedean solids and the prism and antiprism infinite families.

Note that the name of some of these (specifically the Gosset polytopes, which I wrote manually) might be wrong. I mean, I had "great prismated 421" for the E8 omnitruncate for an awfully long time, especially with it being the top one uniform polytope for 8D and below. If you're worried about that, check the Coxeter diagrams. They (should be) 100% accurate since they were generated automatically (unless my code broke...).