Bisemistellated crystallocubic honeycomb
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| Bisemistellated crystallocubic honeycomb | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Euclidean |
| Elements | |
| Cells | 4N 25-vertex hexadecahedra |
| Faces | 12N+12N kites, 6N mirror-symmetric hexagons, 2N hexambi |
| Edges | 4N+12N+12N+24N |
| Vertices | N+2N+3N+6N+12N |
| Vertex figure | 12N sphenoids, 6N rhombic disphenoids, 3N tetragonal disphenoids, N tetrahedra, 2N triangular antitegums |
| Related polytopes | |
| Dual | Biprismatosnub cubic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | P4×2 |
| Convex | Yes |
| Nature | Tame |
The bisemistellated crystallocubic honeycomb is an isochoric honeycomb with identical cells. It can be obtained as the dual of the biprismatosnub cubic honeycomb.
Each cell of this honeycomb has triangular pyramidal symmetry, with 1 ditrigon, 3 mirror-symmetric pentagons, and 3 isosceles triangles for faces.