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・ 2 + 2 = 5
・ 2 + 2 = 5 (song)
・ 2 + 2 = ?
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・ 2 22 honeycomb
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・ 2 41 polytope
2 51 honeycomb
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2 51 honeycomb : ウィキペディア英語版
2 51 honeycomb


|-
|bgcolor=#e7dcc3|7-face types||231

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|bgcolor=#e7dcc3|6-face types||221

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|bgcolor=#e7dcc3|5-face types||211

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|bgcolor=#e7dcc3|4-face type||
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|bgcolor=#e7dcc3|Cells||
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|bgcolor=#e7dcc3|Faces||
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|bgcolor=#e7dcc3|Edge figure||051 30px
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|bgcolor=#e7dcc3|Vertex figure||151 30px
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|bgcolor=#e7dcc3|Edge figure||051 30px
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|bgcolor=#e7dcc3|Coxeter group||
In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation. It is composed of 241 polytope and 8-simplex facets arranged in an 8-demicube vertex figure. It is the final figure in the 2k1 family.
==Construction==

It is created by a Wythoff construction upon a set of 9 hyperplane mirrors in 8-dimensional space.
The facet information can be extracted from its Coxeter-Dynkin diagram.
:
Removing the node on the short branch leaves the 8-simplex.
:
Removing the node on the end of the 5-length branch leaves the 241.
:
The vertex figure is determined by removing the ringed node and ringing the neighboring node. This makes the 8-demicube, 151.
:
The edge figure is the vertex figure of the vertex figure. This makes the rectified 7-simplex, 051.
:

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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