Prismatorhombisnub bicubic honeycomb
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| Prismatorhombisnub bicubic honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | Scaliform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Prissibich |
| Elements | |
| Cells | 3N+6N tetrahedra, 12N square pyramids, 4N triangular cupolas, N truncated tetrahedra |
| Faces | 4N+12N+12N+24N triangles, 12N squares, 4N hexagons |
| Edges | 6N+12N+12N+24N |
| Vertices | 12N |
| Vertex figure | 9-vertex polyhedron with 2 tetragons and 10 triangles |
| Related polytopes | |
| Dual | Enneahedral honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | S4×2 |
| Convex | Yes |
| Nature | Tame |
The prismatorhombisnub bicubic honeycomb or prissibich is a convex scaliform honeycomb that consists of truncated tetrahedra, triangular cupolas, square pyramids, and tetrahedra. 1 truncated tetrahedron, 3 triangular cupolas, 5 square pyramids, and 3 tetrahedra join at each vertex. It can be obtained as a subsymmetrical faceting of the small biprismatorhombatocubic honeycomb and is also equivalent to the alternated transitional biprismatorhombatocubic honeycomb, assuming that the cells are dissected into their simplest components.
It can also be derived as a doubling of the runcicantic snub cubic honeycomb in which the rhombitetratetrahedral cells are larger than the truncated tetrahedral cells.
External links[edit | edit source]
- Klitzing, Richard: "https://bendwavy.org/klitzing/incmats/5Y4-3T-3Q3-T3.htm"