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In geometry, a 9-simplex is a self-dual regular 9-polytope. It has 10 vertices, 45 edges, 120 triangle faces, 210 tetrahedral cells, 252 5-cell 4-faces, 210 5-simplex 5-faces, 120 6-simplex 6-faces, 45 7-simplex 7-faces, and 10 8-simplex 8-faces. Its dihedral angle is cos−1(1/9), or approximately 83.62°. It can also be called a decayotton, or deca-9-tope, as a 10-facetted polytope in 9-dimensions.. The name ''decayotton'' is derived from ''deca'' for ten facets in Greek and -yott (variation of oct for eight), having 8-dimensional facets, and ''-on''. == Coordinates == The Cartesian coordinates of the vertices of an origin-centered regular decayotton having edge length 2 are: : : : : : : : : : More simply, the vertices of the ''9-simplex'' can be positioned in 10-space as permutations of (0,0,0,0,0,0,0,0,0,1). This construction is based on facets of the 10-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「9-simplex」の詳細全文を読む スポンサード リンク
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