Small rhombitrihexagonal prismatic honeycomb
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| Small rhombitrihexagonal prismatic honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Srothaph |
| Coxeter diagram | x∞o x6o3x |
| Elements | |
| Cells | 2N triangular prisms, 3N cubes, N hexagonal prisms |
| Faces | 2N triangles, 3N+6N+6N squares, N hexagons |
| Edges | 6N+6N+6N |
| Vertices | 6N |
| Vertex figure | Isosceles trapezoidal tegum, edge lengths 1 and √3 (bases of trapezoid) and √2 (remaining edges) |
| Related polytopes | |
| Army | Srothaph |
| Regiment | Srothaph |
| Dual | Deltoidal prismatic honeycomb |
| Conjugate | Quasirhombitrihexagonal prismatic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3❘W2 |
| Convex | Yes |
The small rhombitrihexagonal prismatic honeycomb, or srothaph, also known as the rhombitrihexagonal prismatic honeycomb, is a convex uniform honeycomb. 2 triangular prisms, 4 cubes, and 2 hexagonal prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the small rhombitrihexagonal tiling and the apeirogon.
Representations[edit | edit source]
A small rhombitrihexagonal prismatic honeycomb has the following Coxeter diagrams:
- x∞o x6o3x
- x∞x x6o3x
External links[edit | edit source]
- Klitzing, Richard. "srothaph".
- Wikipedia Contributors. "Rhombitrihexagonal prismatic honeycomb".