Tetracontoctafold icosidodecaswirlchoron
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| Tetracontoctafold icosidodecaswirlchoron | |
|---|---|
| File:Tetracontoctafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 2880+2880+2880 phyllic disphenoids, 960 triangular gyroprisms |
| Faces | 5760+5760+5760 scalene triangles, 2880 isosceles triangles, 960 triangles |
| Edges | 1440+2880+2880+2880+2880 |
| Vertices | 1440 |
| Vertex figure | Polyhedron with 4 tetragons and 24 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic chiliatetracositetracontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(48), order 5760 |
| Convex | Yes |
| Nature | Tame |
The tetracontoctafold icosidodecaswirlchoron is an isogonal polychoron with 960 triangular gyroprisms, 8640 phyllic disphenoids of three kinds, and 1440 vertices. 4 triangular gyroprisms and 24 phyllic disphenoids join at each vertex. It is the twelfth in an infinite family of isogonal icosidodecahedral swirlchora.