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1 33 honeycomb : ウィキペディア英語版
1 33 honeycomb


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

|-
|bgcolor=#e7dcc3|Cell type||101
|-
|bgcolor=#e7dcc3|Face type||
|-
|bgcolor=#e7dcc3|Cell figure||Square
|-
|bgcolor=#e7dcc3|Face figure||Triangular duoprism
25px
|-
|bgcolor=#e7dcc3|Edge figure||Tetrahedral duoprism
|-
|bgcolor=#e7dcc3|Vertex figure||Trirectified 7-simplex 25px
|-
|bgcolor=#e7dcc3|Coxeter group||
In 7-dimensional geometry, 133 is a uniform honeycomb, also given by Schläfli symbol , and is composed of 132 facets.
==Construction==

It is created by a Wythoff construction upon a set of 8 hyperplane mirrors in 7-dimensional space.
The facet information can be extracted from its Coxeter-Dynkin diagram.
:
Removing a node on the end of one of the 3-length branch leaves the 132, its only facet type.
:
The vertex figure is determined by removing the ringed node and ringing the neighboring node. This makes the trirectified 7-simplex, 033.
:
The edge figure is determined by removing the ringed nodes of the vertex figure and ringing the neighboring node. This makes the tetrahedral duoprism, ×.
:

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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