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Welcome to the Polytope Wiki
A free-to-edit wiki about polytopes.

About the Polytope Wiki

The Polytope Wiki is a wiki dedicated to the classification, description, and discovery of polytopes.

Polytopes are a wide class of geometric shapes that generalize the intuitive notions of "flat" shapes like polygons and polyhedra into higher (and lower) dimensions. Some of their main categories are:

If you want to get started, you might be interested in the following:

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4 October 2024

N    16:37  Dodecahedral pyramid diffhist +93 2405:4802:1C9A:4820:2967:966E:AA13:5F7B talk (Done) Tag: Visual edit
     16:33  Triangular tegum diffhist −62 2405:4802:1C9A:4820:2967:966E:AA13:5F7B talk (Done) Tag: Visual edit
N    16:32  Affinely isomorphic diffhist +623 Vel talk contribs (Created page with "Two convex polytopes <math>P \subseteq \mathbb{R}^d</math> and <math>Q \subseteq \mathbb{R}^e</math> are '''affinely isomorphic''' if they are related to each other by a affine map <math>f : \mathbb{R}^d \rightarrow \mathbb{R}^e</math> that is a bijection over the points of {{mvar|P}} and {{mvar|Q}}.<ref>{{Cite Ziegler}}</ref> The map itself does not need to be surjective or injective on the spaces, only on the polytopes themselves. Affine isomorphism is a condition...")
     16:17  Sesquitruncated octahedron diffhist +96 Vel talk contribs (revise to discuss 2 variants)
     15:59  Pentellated 6-cube diffhist +12 Username5243 talk contribs

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Polytope of the Day

The mucube, short for multiple cube, is a regular skew apeirohedron consisting of an infinite number of squares. Discovered by John Flinders Petrie in 1926, it has a skew hexagon vertex figure and the Schläfli symbol {4,6∣4}.

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