Octahedral-snub cubic honeycomb
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Octahedral-snub cubic honeycomb | |
---|---|
Rank | 4 |
Type | Uniform |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Octsnich |
Elements | |
Cells | N octahedra, N snub cubes |
Faces | 8N+12N triangles, 3N squares |
Edges | 12N+12N |
Vertices | 3N |
Vertex figure | Order-4 truncated square gyrotegum |
Related polytopes | |
Army | Octsnich |
Regiment | Octsnich |
Dual | Tetrakis square gyroprismatic honeycomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | 2B3+ |
Convex | Yes |
Nature | Tame |
The octahedral-snub cubic honeycomb or octsnich is a convex uniform hyperbolic honeycomb that consists of snub cubes and octahedra. 2 octahedra and 8 snub cubes join at each vertex. Its vertex figure can be obtained by deleting 8 vertices from the snub cube corresponding to a square gyroprism.
This honeycomb was first discovered on February 10, 2021 and is the first and only known non-prismatic uniform to contain the snub cube as one of its cells. Its existence was confirmed by Wendy Krieger.
External links[edit | edit source]
- Klitzing, Richard. "octsnich".