Uniform 5-polytope - Convex Uniform 5-polytopes

Convex Uniform 5-polytopes

There are 105 known convex uniform 5-polytopes, plus a number of infinite families of duoprism prisms, and polygon-polyhedron duoprisms. All except the grand antiprism prism are based on Wythoff constructions, reflection symmetry generated with Coxeter groups.

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    Truly man is a marvelously vain, diverse, and undulating object. It is hard to found any constant and uniform judgment on him.
    Michel de Montaigne (1533–1592)