Truncated cubic honeycomb
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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. |
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.
[edit] 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], S3 |
Picture and Coxeter-Dynkin diagram |