10-simplex

{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|Regular hendecaxennon(10-simplex) |- |bgcolor=#ffffff align=center colspan=2|280pxOrthogonal projectioninside Petrie polygon |- |bgcolor=#e7dcc3|Type||Regular 10-polytope |- |bgcolor=#e7dcc3|Family||simplex |- |bgcolor=#e7dcc3|Schläfli symbol|| {3,3,3,3,3,3,3,3,3} |- |bgcolor=#e7dcc3|Coxeter-Dynkindiagram||| |- |bgcolor=#e7dcc3|9-faces||11 9-simplex 25px |- |bgcolor=#e7dcc3|8-faces||55 8-simplex 25px |-9 |bgcolor=#e7dcc3|7-faces||165 7-simplex 25px |- |bgcolor=#e7dcc3|6-faces||330 6-simplex 25px |- |bgcolor=#e7dcc3|5-faces||462 5-simplex 25px |- |bgcolor=#e7dcc3|4-faces||462 5-cell 25px |- |bgcolor=#e7dcc3|Cells||330 tetrahedron 25px |- |bgcolor=#e7dcc3|Faces||165 triangle 25px |- |bgcolor=#e7dcc3|Edges||55 |- |bgcolor=#e7dcc3|Vertices||11 |- |bgcolor=#e7dcc3|Vertex figure||9-simplex |- |bgcolor=#e7dcc3|Petrie polygon||hendecagon |- |bgcolor=#e7dcc3|Coxeter group|| A10 [3,3,3,3,3,3,3,3,3] |- |bgcolor=#e7dcc3|Dual||Self-dual polytope|Self-dual |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, a 10-simplex is a self-dual regular 10-polytope. It has 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. Its dihedral angle is cos−1(1/10), or approximately 84.26°.

It can also be called a hendecaxennon, or hendeca-10-tope, as an 11-facetted polytope in 10-dimensions. Acronym: ux