Bicrystallotetracontoctachoron
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| Bicrystallotetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 288 order-3 truncated square pyramids |
| Faces | 576 isosceles triangles, 576 mirror-symmetric pentagons, 144 octagons |
| Edges | 384+576+576 |
| Vertices | 48+192+288 |
| Vertex figure | 48 cubes, 192 triangular tegums, 288 digonal scalenohedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Biprismatotetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | Yes |
| Nature | Tame |
The bicrystallotetracontoctachoron is a convex isochoric polychoron with 288 order-3 truncated square pyramids as cells. It can be obtained as the dual of the biprismatotetracontoctachoron.
Each cell of this polychoron has square pyramidal symmetry, with 1 octagon, 4 mirror-symmetric pentagons, and 4 isosceles triangles for faces.