Snub trihexagonal prismatic honeycomb
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| Snub trihexagonal prismatic honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Snathaph |
| Coxeter diagram | x∞o s6s3s |
| Elements | |
| Cells | 2N+6N triangular prisms, N hexagonal prisms |
| Faces | 2N+6N triangles, 3N+6N+6N squares, N hexagons |
| Edges | 3N+6N+6N+6N |
| Vertices | 6N |
| Vertex figure | Irregular pentagonal tegum, edge lengths 1 (four equatorial edges), √3 (other equatorial edge), and √2 (remaining edges) |
| Related polytopes | |
| Army | Snathaph |
| Regiment | Snathaph |
| Dual | Floret pentagonal prismatic honeycomb |
| Conjugate | None |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3+❘W2 |
| Convex | Yes |
The snub trihexagonal prismatic honeycomb, or snathaph, is a convex uniform honeycomb. 8 triangular prisms and 2 hexagonal prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the snub trihexagonal tiling and the apeirogon.
Representations[edit | edit source]
A snub trihexagonal prismatic honeycomb has the following Coxeter diagrams:
- x∞o s6s3s
- x∞x s6s3s
External links[edit | edit source]
- Klitzing, Richard. "snathaph".
- Wikipedia Contributors. "Snub trihexagonal prismatic honeycomb".