Cyclotruncated tetrahedral-octahedral honeycomb
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|Cyclotruncated tetrahedral-octahedral honeycomb|
|Bowers style acronym||Cytatoh (old: Batatoh)|
|Coxeter diagram||x3x3o3o3*a ()|
|Cells||N tetrahedra, N truncated tetrahedra|
|Faces||4N triangles, 2N hexagons|
|Vertex figure||Triangular antiprism, edge lengths 1 (base) and √3 (sides)|
|Measures (edge length 1)|
|Dual||Triangular antitegmatic honeycomb|
|Abstract & topological properties|
The cyclotruncated tetrahedral-octahedral honeycomb, also known as the quarter cubic honeycomb, is a convex uniform honeycomb. 2 tetrahedra and 6 truncated tetrahedra join at each vertex of this honeycomb. It can be formed by applying two successive alternated faceting to the cubic honeycomb.
Representations[edit | edit source]
A cyclotruncated tetrahedral-octahedral honeycomb has the following Coxeter diagrams:
- x3x3o3o3*a () (full symmetry)
- x3o3o *b4s () (as single alternated faceting)
- s4o3o4s' () (as double alternated faceting)
Gallery[edit | edit source]
External links[edit | edit source]
- Klitzing, Richard. "cytatoh".
- Wikipedia Contributors. "Quarter cubic honeycomb".
- Binnendyk, Eric. "Category 7: Triangular Podiumverts" (#140).