|
|- |bgcolor=#e7dcc3|6-faces||112 |- |bgcolor=#e7dcc3|5-faces||448 |- |bgcolor=#e7dcc3|4-faces||1120 |- |bgcolor=#e7dcc3|Cells||1792 |- |bgcolor=#e7dcc3|Faces||1792 25px |- |bgcolor=#e7dcc3|Edges||1024 |- |bgcolor=#e7dcc3|Vertices||256 |- |bgcolor=#e7dcc3|Vertex figure||7-simplex 25px |- |bgcolor=#e7dcc3|Petrie polygon||hexadecagon |- |bgcolor=#e7dcc3|Coxeter group||C8, () |- |bgcolor=#e7dcc3|Dual||8-orthoplex 25px |- |bgcolor=#e7dcc3|Properties||convex |} In geometry, an 8-cube is an eight-dimensional hypercube (8-cube). It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces. It is represented by Schläfli symbol , being composed of 3 7-cubes around each 6-face. It is called an ''octeract'', a portmanteau of tesseract (the ''4-cube'') and ''oct'' for eight (dimensions) in Greek. It can also be called a regular hexdeca-8-tope or hexadecazetton, being an 8-dimensional polytope constructed from 16 regular facets. == Related polytopes== It is a part of an infinite family of polytopes, called hypercubes. The dual of an 8-cube can be called a 8-orthoplex, and is a part of the infinite family of cross-polytopes. 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「8-cube」の詳細全文を読む スポンサード リンク
|