Truncated tetrahedral-octahedral honeycomb
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|Truncated tetrahedral-octahedral honeycomb|
|Bowers style acronym||Tatoh|
|Cells||2N truncated tetrahedra, N cuboctahedra, N truncated octahedra|
|Faces||8N triangles, 6N squares, 8N hexagons|
|Vertex figure||Rectangular pyramid, base edge lengths 1 and √2, side edge lengths √3|
|Measures (edge length 1)|
|Dual cell volume|
|Dual||Rhombic pyramidal honeycomb|
|Abstract & topological properties|
The truncated tetrahedral-octahedral honeycomb, or tatoh, also known as the cantic cubic honeycomb, is a convex uniform honeycomb. 1 cuboctahedron, 2 truncated octahedra, and 2 truncated tetrahedra join at each vertex of this honeycomb. As one of its names suggests, it can be formed by truncation of the tetrahedral-octahedral honeycomb, or as an alternated faceting from the small rhombated cubic honeycomb.
Representations[edit | edit source]
A truncated tetrahedral-octahedral honeycomb has the following Coxeter diagrams:
- (full symmetry)
- (P4 symmetry, as truncated cyclotetrahedral honeycomb)
- (as cantic cubic honeycomb)
Gallery[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "tatoh".
- Wikipedia Contributors. "Cantic cubic honeycomb".
- Binnendyk, Eric. "Category 2: Truncates" (#16).