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polytopes's Usage Examples:

The lowest-dimensional duoprisms exist in 4-dimensional space as 4-polytopes being the Cartesian product of two polygons in 2-dimensional Euclidean space.

It and the tesseract are the only convex regular 4-polytopes in which the edge length equals.

are exactly three such convex regular 9-polytopes: {3,3,3,3,3,3,3,3} - 9-simplex {4,3,3,3,3,3,3,3} - 9-cube {3,3,3,3,3,3,3,4} - 9-orthoplex There are no.

Two polytopes are called combinatorially isomorphic if their face lattices are isomorphic.

polytopes are regular polytopes with palindromic Schläfli symbols.

tesseract is one of the six convex regular 4-polytopes.

Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W.

The corresponding shapes in four or higher dimensions are called polytopes.

of 255 28 − 1 convex uniform 8-polytopes, made of uniform 7-polytope facets and vertex figures, defined by all permutations of one or more rings in.

on the symmetries of the polytope, and are regular polytopes of dimension ≤ n.

n-polytopes constructed from alternation of an n-hypercube, labeled as hγn for being half of the hypercube family, γn.

Non-additive value functions, multi-dimensional simplex cake, and the pieces must be polytopes.

They were the first neighborly polytopes known, and.