Truncated hexagonal prismatic honeycomb
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| Truncated hexagonal prismatic honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Thaph |
| Coxeter diagram | x∞o x6x3o |
| Elements | |
| Cells | 2N triangular prisms, N dodecagonal prisms |
| Faces | 2N triangles, 3N+6N squares, N dodecagons |
| Edges | 3N+6N+6N |
| Vertices | 6N |
| Vertex figure | Notch, edge lengths 1, (√2+√6)/2, (√2+√6)/2 (equatorial) and √2 (remaining edges) |
| Related polytopes | |
| Army | Thaph |
| Regiment | Thaph |
| Dual | Triakis triangular prismatic honeycomb |
| Conjugate | Quasitruncated hexagonal prismatic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3❘W2 |
| Convex | Yes |
The truncated hexagonal prismatic honeycomb, or thaph, is a convex uniform honeycomb. 2 triangular prisms and 4 dodecagonal prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the truncated hexagonal tiling and the apeirogon.
Representations[edit | edit source]
A truncated hexagonal prismatic honeycomb has the following Coxeter diagrams:
- x∞o x6x3o
- x∞x x6x3o
External links[edit | edit source]
- Klitzing, Richard. "thaph".
- Wikipedia Contributors. "Truncated hexagonal prismatic honeycomb".