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25px |- |bgcolor=#e7dcc3|7-faces||144 |- |bgcolor=#e7dcc3|6-faces||672 |- |bgcolor=#e7dcc3|5-faces||2016 |- |bgcolor=#e7dcc3|4-faces||4032 |- |bgcolor=#e7dcc3|Cells||5376 |- |bgcolor=#e7dcc3|Faces||4608 |- |bgcolor=#e7dcc3|Edges||2304 |- |bgcolor=#e7dcc3|Vertices||512 |- |bgcolor=#e7dcc3|Vertex figure||8-simplex |- |bgcolor=#e7dcc3|Petrie polygon||octadecagon |- |bgcolor=#e7dcc3|Coxeter group||C9, () |- |bgcolor=#e7dcc3|Dual||9-orthoplex |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces. It can be named by its Schläfli symbol , being composed of three 8-cubes around each 7-face. It is also called an enneract, a portmanteau of tesseract (the ''4-cube'') and ''enne'' for nine (dimensions) in Greek. It can also be called a regular octadeca-9-tope or octadecayotton, as a nine-dimensional polytope constructed with 18 regular facets. It is a part of an infinite family of polytopes, called hypercubes. The dual of a 9-cube can be called a 9-orthoplex, and is a part of the infinite family of cross-polytopes. == Cartesian coordinates == Cartesian coordinates for the vertices of a 9-cube centered at the origin and edge length 2 are : (±1,±1,±1,±1,±1,±1,±1,±1,±1) while the interior of the same consists of all points (''x''0, ''x''1, ''x''2, ''x''3, ''x''4, ''x''5, ''x''6, ''x''7, ''x''8) with −1 < ''x''''i'' < 1. 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-cube」の詳細全文を読む スポンサード リンク
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