Sphenoidal honeycomb
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| Sphenoidal honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform dual |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | m4m3m4o |
| Elements | |
| Cells | 24N sphenoids |
| Faces | 12N+12N isosceles triangles, 24N scalene triangles |
| Edges | 3N+6N+8N+12N |
| Vertices | N+N+3N |
| Vertex figure | N disdyakis dodecahedra, N tetrakis hexahedra, 3N octahedra |
| Related polytopes | |
| Dual | Great rhombated cubic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | R4 |
| Convex | Yes |
| Nature | Tame |
The sphenoidal honeycomb is an isochoric honeycomb with sphenoid cells. It can be obtained as the dual of the great rhombated cubic honeycomb.
External links[edit | edit source]
Wikipedia contributors. "Triangular pyramidille".