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| Truncated cubic honeycomb | |
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| Type | Uniform honeycomb |
| Schläfli symbol | t0,1{4,3,4} |
| Coxeter-Dynkin diagrams |     |
| Cell type | 3.8.8, {3,4} |
| Face type | {3}, {4}, {8} |
| Cells/edge | (3.8.8)4 {3,4}.(3.8.8)2 |
| Faces/edge | {8}4 {3}2.{8} |
| Cells/vertex | 3.8.8 (4) {3,4} (1) |
| Faces/vertex | {8}4+{3}4 |
| Edges/vertex | 5 |
| Euler characteristic | 0 |
| Coxeter group | [4,3,4] |
| Dual | - |
| Properties | vertex-transitive |
Vertex figure Four truncated cubes and one octahedron meet at each vertex in a square pyramid arrangement. |
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The truncated cubic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. It is comprised of truncated cubes and octahedra in a ratio of 1:1.
Symmetry
There is a second uniform colorings by reflectional symmetry of the Coxeter groups:
| Construction | bicantellated alternate cubic |
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| Coxeter group | [4,31,1, C~3 |
| Picture and Coxeter-Dynkin diagram |
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