Apiculatooctahedral chiliatetracositetracontachoron
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Apiculatooctahedral chiliatetracositetracontachoron | |
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Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 1440 7-vertex octahedra |
Faces | 1440+1440+1440 scalene triangles, 720+720 kites |
Edges | 480+480+480+1440+1440+1440 |
Vertices | 120+120+480+720 |
Vertex figure | 120 gyrostellated disdyakis hexahedra, 120 triakis tetrahedra, 480 chiral triangular antitegums, 720 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Snub truncatotetrahedral-transitional hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3●H3, order 1440 |
Convex | Yes |
Nature | Tame |
The apiculatooctahedral chilliatetracositetracontachoron is a convex isochoric polychoron with 1440 identical cells. It can be obtained as the dual of the snub truncatotetrahedral-transitional hecatonicosachoron.
Each cell of this polychoron is completely asymmetric, with 2 tetragons and 6 triangles for faces.