bgcolor=#e7dcc3 colspan=2 | 152 honeycomb | |
---|---|---|
bgcolor=#ffffff align=center colspan=2 | (No image) | |
Type | Uniform tessellation | |
Family | 1k2 polytope | |
Schläfli symbol | ||
Coxeter symbol | 152 | |
Coxeter-Dynkin diagram | ||
8-face types | 142 151 | |
7-face types | 132 141 | |
6-face types | 122 | |
5-face types | 121 | |
4-face type | 111 | |
Cells | ||
Faces | ||
Vertex figure | birectified 8-simplex
| |
Coxeter group | {\tilde{E}}8 |
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.