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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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21 June 2024

Wiki statistics

  • Age of wiki: 4 years, 1 month and 17 days
  • Number of articles: 7,425
  • Number of files: 7,278
  • Number of edits: 107,223
  • Number of users: 624


Polytope of the Day

The Szilassi polyhedron is a toroidal polyhedron with 7 faces. It is unique in the fact that it is the only known polyhedron other than the tetrahedron where every face is adjacent to every other face. Its dual is the Császár polyhedron, which has the property that any two vertices are connected by an edge.

(Purge cache for most recent polytope)