# 10-simplex

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10-simplex

A hendeca-10-tope, or hendecaxennon is a 10-simplex, a self-dual regular 10-polytope with 11 vertices, 55 edges, 165 triangle faces, 330 tetrahedral cells, 462 5-cell 4-faces, 462 5-simplex 5-faces, 330 6-simplex 6-faces, 165 7-simplex 7-faces, 55 8-simplex 8-faces, and 11 9-simplex 9-faces.

Related polytopes

The 2-skeleton of the 10-simplex is topologically related to the 11-cell abstract regular polychoron which has the same 11 vertices, 55 edges, but only 1/3 the faces (55).

* Others in the simplex family
** Tetrahedron - {3,3}
** 5-cell - {3,3,3}
** 5-simplex - {3,3,3,3}
** 6-simplex - {3,3,3,3,3}
** 7-simplex - {3,3,3,3,3,3}
** 8-simplex - {3,3,3,3,3,3,3}
** 9-simplex - {3,3,3,3,3,3,3,3}

* [http://members.aol.com/Polycell/glossary.html#simplex Glossary for hyperspace]
* [http://www.polytope.net/hedrondude/topes.htm Polytopes of Various Dimensions]
* [http://tetraspace.alkaline.org/glossary.htm Multi-dimensional Glossary]

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