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25px |- |bgcolor=#e7dcc3|4-faces||60 25px |- |bgcolor=#e7dcc3|Cells||160 25px |- |bgcolor=#e7dcc3|Faces||240 25px |- |bgcolor=#e7dcc3|Edges||192 |- |bgcolor=#e7dcc3|Vertices||64 |- |bgcolor=#e7dcc3|Vertex figure||5-simplex |- |bgcolor=#e7dcc3|Petrie polygon||dodecagon |- |bgcolor=#e7dcc3|Coxeter group||B6, () |- |bgcolor=#e7dcc3|Dual||6-orthoplex 25px |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces. It has Schläfli symbol , being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the ''4-cube'') with ''hex'' for six (dimensions) in Greek. It can also be called a regular dodeca-6-tope or dodecapeton, being a 6-dimensional polytope constructed from 12 regular facets. == Related polytopes== It is a part of an infinite family of polytopes, called hypercubes. The dual of a 6-cube can be called a 6-orthoplex, and is a part of the infinite family of cross-polytopes. Applying an ''alternation'' operation, deleting alternating vertices of the 6-cube, creates another uniform polytope, called a 6-demicube, (part of an infinite family called demihypercubes), which has 12 5-demicube and 32 5-simplex facets. 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「6-cube」の詳細全文を読む スポンサード リンク
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