Decahedral chiliahecatonpentacontadichoron
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| Decahedral chiliahecatonpentacontadichoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1152 10-vertex decahedra |
| Faces | 1152+1152+1152 scalene triangles, 576 isosceles triangles, 576 kites, 576 mirror-symmetric pentagons, 576 mirror-symmetric hexagons |
| Edges | 288+288+384+1152+1152+1152+1152+1152 |
| Vertices | 48+144+192+576+1152 |
| Vertex figure | 1152 irregular tetrahedra, 576 phyllic disphenoids, 192 gyrostellated joined triangular prisms, 144 square gyrotegums, 48 pentagonal icositetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Prismatic transitional biomnisnub tetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (F4×2)+, order 1152 |
| Convex | Yes |
| Nature | Tame |
The decahedral chiliahecatonpentacontadichoron is a convex isochoric polychoron with 1152 identical cells. It can be obtained as the dual of the prismatic transitional biomnisnub tetracontoctachoron.
Each cell of this polychoron is completely asymmetric, with 1 mirror-symmetric hexagon, 1 mirror-symmetric pentagon, 1 kite, 1 isosceles triangle, and 6 scalene triangles for faces.