Octakis square-antitegmatic hecatontetracontatetrachoron
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| Octakis square-antitegmatic hecatontetracontatetrachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1152 kite pyramids |
| Faces | 1152 isosceles triangles, 1152 scalene triangles, 576 kites |
| Edges | 288+288+384+1152 |
| Vertices | 48+144+192 |
| Vertex figure | 48 tetrakis hexahedra, 192 triakis triangular tegums, 144 square antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Truncated small prismatotetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | Yes |
| Nature | Tame |
The octakis square-antitegmatic hecatontetracontatetrachoron is a convex isochoric polychoron with 1152 kite pyramids as cells. It can be constructed as the dual of the truncated small prismatotetracontoctachoron.