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8-cube : ウィキペディア英語版
8-cube

|-
|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)
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