Triacontahexafold icosidodecaswirlchoron
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| Triacontahexafold icosidodecaswirlchoron | |
|---|---|
| File:Triacontahexafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 2160+2160 phyllic disphenoids, 720 triangular gyroprisms |
| Faces | 4320+4320 scalene triangles, 2160 isosceles triangles, 720 triangles |
| Edges | 1080+2160+2160+2160 |
| Vertices | 1080 |
| Vertex figure | Polyhedron with 4 tetragons and 16 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic chiliaoctacontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(36), order 4320 |
| Convex | Yes |
| Nature | Tame |
The triacontahexafold icosidodecaswirlchoron is an isogonal polychoron with 720 triangular gyroprisms, 4320 phyllic disphenoids of two kinds, and 1080 vertices. 4 triangular gyroprisms and 16 phyllic disphenoids join at each vertex. It is the ninth in an infinite family of isogonal icosidodecahedral swirlchora.