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25px |- |bgcolor=#e7dcc3|5-faces||84 25px |- |bgcolor=#e7dcc3|4-faces||280 25px |- |bgcolor=#e7dcc3|Cells||560 25px |- |bgcolor=#e7dcc3|Faces||672 25px |- |bgcolor=#e7dcc3|Edges||448 |- |bgcolor=#e7dcc3|Vertices||128 |- |bgcolor=#e7dcc3|Vertex figure||6-simplex 25px |- |bgcolor=#e7dcc3|Petrie polygon||tetradecagon |- |bgcolor=#e7dcc3|Coxeter group||C7, () |- |bgcolor=#e7dcc3|Dual||7-orthoplex |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces. It can be named by its Schläfli symbol , being composed of 3 6-cubes around each 5-face. It can be called a hepteract, a portmanteau of tesseract (the ''4-cube'') and ''hepta'' for seven (dimensions) in Greek. It can also be called a regular tetradeca-7-tope or tetradecaexon, being a 7 dimensional polytope constructed from 14 regular facets. == Related polytopes== It is a part of an infinite family of polytopes, called hypercubes. The dual of a 7-cube is called a 7-orthoplex, and is a part of the infinite family of cross-polytopes. Applying an ''alternation'' operation, deleting alternating vertices of the hepteract, creates another uniform polytope, called a demihepteract, (part of an infinite family called demihypercubes), which has 14 demihexeractic and 64 6-simplex 6-faces. 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「7-cube」の詳細全文を読む スポンサード リンク
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