Small biorthotetracontoctachoron
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| Small biorthotetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 576 apex-tetrakis lateromonotruncated triangular bipyramids |
| Faces | 576 isosceles triangles, 1152 scalene triangles, 1152 kites |
| Edges | 192+288+384+1152+1152 |
| Vertices | 48+144+288+384 |
| Vertex figure | 48 rhombic dodecahedra, 144 square antitegums, 384 triangular antitegums, 288 tetragonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small birhombatotetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | Yes |
| Nature | Tame |
The small biorthotetracontoctachoron is a convex isochoric polychoron with 576 apex-tetrakis lateromonotruncated triangular bipyramids as cells. It can be obtained as the dual of the small birhombatotetracontoctachoron.
Each cell of this polychoron has digonal symmetry, with 6 triangles and 4 tetragons for faces.