Small rhombi-tetrahedral-octahedral honeycomb
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|Small rhombi-tetrahedral-octahedral honeycomb|
|Bowers style acronym||Sratoh|
|Coxeter diagram||x3o3o *b4x ()|
|Cells||2N tetrahedra, N cubes, N small rhombicuboctahedra|
|Faces||8N triangles, 6N+6N squares|
|Vertex figure||Triangular frustum, edge lengths 1 (top) and √2 (sides and base)|
|Measures (edge length 1)|
|Dual cell volume|
|Dual||Apiculated triangular pyramidal honeycomb|
|Abstract & topological properties|
The small rhombi-tetrahedral-octahedral honeycomb, or sratoh, also known as the runcic cubic honeycomb, is a convex uniform honeycomb. 1 tetrahedron, 1 cube, and 3 small rhombicuboctahedra join at each vertex of this honeycomb. It can be formed as an alternated faceting from the cubic honeycomb, alternating a subset of the cubes, or alternately as the birectification of the tetrahedral-octahedral honeycomb.
It can be subdivided into alternating truncated square tiling prism and truncated square tiling alterprism segments.
Representations[edit | edit source]
A small rhombated tetrahedral-octahedral honeycomb has the following Coxeter diagrams:
- x3o3o *b4x (full symmetry)
- s4o3o4x (as runcic cubic honeycomb)
Gallery[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "sratoh".
- Wikipedia Contributors. "Runcic cubic honeycomb".
- Binnendyk, Eric. "Category 7: Triangular Podiumverts" (#152).