| Runcitruncated cubic honeycomb | |
|---|---|
| Type | Uniform honeycomb |
| Schläfli symbol | t0,1,3{4,3,4} |
| Coxeter-Dynkin diagrams | |
| Vertex figure | (Trapezoidal pyramid) |
| Coxeter group | [4,3,4] |
| Dual | - |
| Properties | vertex-transitive |
The runcitruncated cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of small rhombicuboctahedra, truncated cubes, octagonal prisms, and cubes in a ratio of 1:1:3:3.
Its name is derived from its Coxeter-Dynkin diagram, with three ringed nodes representing 3 active mirrors in the Wythoff construction from its relation to the regular cubic honeycomb.
An edge-framework of tessellation in perspective