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6-cube honeycomb : ウィキペディア英語版
6-cubic honeycomb

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|bgcolor=#e7dcc3|Coxeter-Dynkin diagrams||



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|bgcolor=#e7dcc3|6-face type||
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|bgcolor=#e7dcc3|5-face type||
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|bgcolor=#e7dcc3|4-face type||
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|bgcolor=#e7dcc3|Cell type||
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|bgcolor=#e7dcc3|Face type||
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|bgcolor=#e7dcc3|Face figure||
(octahedron)
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|bgcolor=#e7dcc3|Edge figure||8
(16-cell)
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|bgcolor=#e7dcc3|Vertex figure||64
(6-orthoplex)
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|bgcolor=#e7dcc3|Coxeter group||}_6, ()
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|bgcolor=#e7dcc3|Dual||self-dual
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|bgcolor=#e7dcc3|Properties||vertex-transitive, edge-transitive, face-transitive, cell-transitive
|}
The 6-cube honeycomb or hexeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 6-space.
It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space.
== Constructions ==
There are many different Wythoff constructions of this honeycomb. The most symmetric form is regular, with Schläfli symbol . Another form has two alternating 6-cube facets (like a checkerboard) with Schläfli symbol . The lowest symmetry Wythoff construction has 64 types of facets around each vertex and a prismatic product Schläfli symbol 6.

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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