Elongated tetrahedral-octahedral honeycomb
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|Elongated tetrahedral-octahedral honeycomb|
|Bowers style acronym||Etoh|
|Cells||2N tetrahedra, N octahedra, 2N triangular prisms|
|Faces||2N+2N+6N triangles, 3N squares|
|Vertex figure||Hexakis triangular cupola, edge lengths 1 (cupola part) and √2 (sides of augment)|
|Dual||Elongated rhombic dodecahedral honeycomb|
|Conjugate||Retroelongated tetrahedral-octahedral honeycomb|
|Abstract & topological properties|
The elongated tetrahedral-octahedral honeycomb, or etoh, also known as the elongated alternated cubic honeycomb, is a convex uniform honeycomb. 3 octahedra, 4 tetrahedra, and 6 triangular prisms join at each vertex of this honeycomb.
It can be formed by inserting layers of triangular prisms between layers of cells of the tetrahedral-octahedral honeycomb. It shares its vertex figure with the gyroelongated tetrahedral-octahedral honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "etoh".
- Wikipedia Contributors. "Elongated alternated cubic honeycomb".