Quasitruncated cubic honeycomb
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| Quasitruncated cubic honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Quitch |
| Coxeter diagram | x4/3x3o4o (      ) |
| Elements | |
| Cells | N octahedra, N quasitruncated cubes |
| Faces | 8N triangles, 3N octagrams |
| Edges | 3N+12N |
| Vertices | 6N |
| Vertex figure | Square pyramid, edge lengths 1 (base) and √2-√2 (sides) |
| Related polytopes | |
| Army | Tich |
| Regiment | Quitch |
| Conjugate | Truncated cubic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | R4 |
| Convex | No |
| Nature | Tame |
The quasitruncated cubic honeycomb, or quitch, is a non-convex uniform honeycomb. 1 octahedron and 4 quasitruncated cubes join at each vertex of this honeycomb. It is the quasitruncation of the cubic honeycomb.
External links[edit | edit source]
- Klitzing, Richard. "quitch".
- Binnendyk, Eric. "Category 2: Truncates" (#19).