Elongated tetrahedral-octahedral honeycomb
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| Elongated tetrahedral-octahedral honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Etoh |
| Elements | |
| Cells | 2N tetrahedra, N octahedra, 2N triangular prisms |
| Faces | 2N+2N+6N triangles, 3N squares |
| Edges | N+3N+6N |
| Vertices | 2N |
| Vertex figure | Hexakis triangular cupola, edge lengths 1 (cupola part) and √2 (sides of augment)  |
| Related polytopes | |
| Army | Etoh |
| Regiment | Etoh |
| Dual | Elongated rhombic dodecahedral honeycomb |
| Conjugate | Retroelongated tetrahedral-octahedral honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3❘W2+ |
| Convex | Yes |
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".