Gyroelongated tetrahedral-octahedral honeycomb
Jump to navigation
Jump to search
| Gyroelongated tetrahedral-octahedral honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Gyetoh |
| Elements | |
| Cells | 2N tetrahedra, N octahedra, N+N 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 | Gyetoh |
| Regiment | Gyetoh |
| Dual | Gyroelongated rhombic dodecahedral honeycomb |
| Conjugate | Retrogyroelongated tetrahedral-octahedral honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3❘W2+ |
| Convex | Yes |
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".