Rhombic pyramidal honeycomb
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| Rhombic pyramidal honeycomb | |
|---|---|
| Rank | 4 |
| Type | Uniform dual |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | m3m3o *b4o |
| Elements | |
| Cells | 12N rhombic pyramids |
| Faces | 24N scalene triangles, 6N rhombi |
| Edges | 6N+8N+8N |
| Vertices | N+N+2N |
| Vertex figure | N tetrakis hexahedra, N rhombic dodecahedra, 2N triakis tetrahedra |
| Related polytopes | |
| Dual | Truncated tetrahedral-octahedral honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | S4 |
| Convex | Yes |
| Nature | Tame |
The rhombic pyramidal honeycomb is an isochoric honeycomb with rhombic pyramid cells. It can be obtained as the dual of the truncated tetrahedral-octahedral honeycomb.