Gyroelongated tetrahedral-octahedral honeycomb
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|Gyroelongated tetrahedral-octahedral honeycomb|
|Bowers style acronym||Gyetoh|
|Cells||2N tetrahedra, N octahedra, N+N 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||Gyroelongated rhombic dodecahedral honeycomb|
|Conjugate||Retrogyroelongated tetrahedral-octahedral honeycomb|
|Abstract & topological properties|
The gyroelongated tetrahedral-octahedral honeycomb, or gyetoh, also known as the gyroelongated 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 gyrated tetrahedral-octahedral honeycomb, or by gyrating alternate layers of the elongated tetrahedral-octahedral honeycomb, which it shares its vertex figure with.
External links[edit | edit source]
- Klitzing, Richard. "gyetoh".
- Wikipedia Contributors. "Gyroelongated alternated cubic honeycomb".