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1 52 honeycomb : ウィキペディア英語版
1 52 honeycomb



|-
|bgcolor=#e7dcc3|5-face types||121

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|bgcolor=#e7dcc3|4-face type||111

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|bgcolor=#e7dcc3|Cells||
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|bgcolor=#e7dcc3|Faces||
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|bgcolor=#e7dcc3|Vertex figure||birectified 8-simplex:
t2 25px
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|bgcolor=#e7dcc3|Coxeter group||
In geometry, the 152 honeycomb is a uniform tessellation of 8-dimensional Euclidean space. It contains 142 and 151 facets, in a birectified 8-simplex vertex figure. It is the final figure in the 1k2 polytope 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 end of the 2-length branch leaves the 8-demicube, 151.
:
Removing the node on the end of the 5-length branch leaves the 142.
:
The vertex figure is determined by removing the ringed node and ringing the neighboring node. This makes the birectified 8-simplex, 052.
:

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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