Biapiculatotetracontoctachoron
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Biapiculatotetracontoctachoron | |
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Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 384 order-6 truncated semibisected trigonal trapezohedra |
Faces | 576+1152 kites, 192 ditrigons |
Edges | 288+1152+1152 |
Vertices | 48+144+288+576 |
Vertex figure | 48 octahedra, 144 square antitegums, 288 tetragonal disphenoids, 576 digonal disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Bitruncatotetracontoctachoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | F4×2, order 2304 |
Convex | Yes |
Nature | Tame |
The biapiculatotetracontoctachoron is a convex isochoric polychoron with 384 order-6 truncated semibisected trigonal trapezohedra as cells. It can be obtained as the dual of the bitruncatotetracontoctachoron, or equivalently as the stellation core of the compound of 2 opposite octakis icositetrachora.
Each cell of this polychoron has triangular symmetry, with a ditrigonal base and 3+6 kites for faces.