10-simplex

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Regular 10-simplex
(Orthographic projection)
Type	Regular 10-polytope
Family	simplex
9-faces	11 9-simplex
8-faces	55 8-simplex
7-faces	165 7-simplex
6-faces	330 6-simplex
5-faces	462 5-simplex
4-faces	452 5-cell
Cells	330 tetrahedron
Faces	165 triangle
Edges	55
Vertices	11
Vertex figure	9-simplex
Schläfli symbol	{3,3,3,3,3,3,3,3,3}
Coxeter-Dynkin diagram
Dual	Self-dual
Properties	convex

A hendeca-10-tope 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.

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).

[edit] See also

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}