Great biomnistellatotetracontoctachoron
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| Great biomnistellatotetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 2304 irregular triangular prisms |
| Faces | 1152+1152 scalene triangles, 1152+1152 irregular tetragons, 1152 kites |
| Edges | 288+288+384+576+576+1152+1152 |
| Vertices | 48+144+192+288+288 |
| Vertex figure | 288 digonal scalenohedra, 384 triangular scalenohedra, 192 triambic tegums, 144 square scalenohedra, 48 disdyakis dodecahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great biomnitruncatotetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | Yes |
| Nature | Tame |
The great biomnistellatotetracontoctachoron is a convex isochoric polychoron with 2304 irregular triangular prisms as cells. It can be obtained as the dual of the great biomnitruncatotetracontoctachoron.
Each cell of this polychoron is completely asymmetric, with 1 kite, 2 irregular tetragons, and 2 scalene triangles for faces.