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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. The name ''hendecaxennon'' is derived from ''hendeca'' for 11 facets in Greek and -xenn (variation of ennea for nine), having 9-dimensional facets, and ''-on''. == Coordinates == The Cartesian coordinates of the vertices of an origin-centered regular 10-simplex having edge length 2 are: : : : : : : : : : : More simply, the vertices of the ''10-simplex'' can be positioned in 11-space as permutations of (0,0,0,0,0,0,0,0,0,0,1). This construction is based on facets of the 11-orthoplex. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「10-simplex」の詳細全文を読む スポンサード リンク
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