Rectified cubic honeycomb
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| Rectified cubic honeycomb | |
|---|---|
| Type | Uniform honeycomb |
| Schläfli symbol | t1{4,3,4} |
| Coxeter-Dynkin diagrams | |
| Coxeter group | [4,3,4] |
| Dual | - |
| Properties | vertex-transitive |
The rectified cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. It is comprised of octahedra and cuboctahedra in a ratio of 1:1.
[edit] Symmetry
There are three lower uniform colorings for the cells of this honeycomb with reflective symmetry, listed by their Coxeter group, and Wythoff construction name, and the Coxeter-Dynkin diagram below.
| [4,31,1], S4 | [4,31,1], S4 | P4 |
|---|---|---|
| Rectified alternate cubic | Cantellated alternate cubic | Birectified quarter cubic |

