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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク 10-cube ： ウィキペディア英語版 10-cube |- |bgcolor=#e7dcc3|8-faces||180 25px |- |bgcolor=#e7dcc3|7-faces||960 |- |bgcolor=#e7dcc3|6-faces||3360 |- |bgcolor=#e7dcc3|5-faces||8064 |- |bgcolor=#e7dcc3|4-faces||13440 |- |bgcolor=#e7dcc3|Cells||15360 |- |bgcolor=#e7dcc3|Faces||11520 squares |- |bgcolor=#e7dcc3|Edges||5120 |- |bgcolor=#e7dcc3|Vertices||1024 |- |bgcolor=#e7dcc3|Vertex figure||9-simplex |- |bgcolor=#e7dcc3|Petrie polygon||icosagon |- |bgcolor=#e7dcc3|Coxeter group||C10, () |- |bgcolor=#e7dcc3|Dual||10-orthoplex |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, a 10-cube is a ten-dimensional hypercube. It has 1024 vertices, 5120 edges, 11520 square faces, 15360 cubic cells, 13440 tesseract 4-faces, 8064 5-cube 5-faces, 3360 6-cube 6-faces, 960 7-cube 7-faces, 180 8-cube 8-faces, and 20 9-cube 9-faces. It can be named by its Schläfli symbol , being composed of 3 9-cubes around each 8-face. It is sometimes called a dekeract, a portmanteau of tesseract (the ''4-cube'') and ''deka-'' for ten (dimensions) in Greek, It can also be called an icosaxennon or icosa-10-tope as a 10 dimensional polytope, constructed from 20 regular facets. It is a part of an infinite family of polytopes, called hypercubes. The dual of a dekeract can be called a 10-orthoplex or decacross, and is a part of the infinite family of cross-polytopes. == Cartesian coordinates == Cartesian coordinates for the vertices of a dekeract centered at the origin and edge length 2 are : (±1,±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, ''x''9) with −1 < ''xi'' < 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「10-cube」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.