Tetracontafold icosidodecaswirlchoron
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| Tetracontafold icosidodecaswirlchoron | |
|---|---|
| File:Tetracontafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 2400 phyllic disphenoids, 480 pentagonal gyroprisms |
| Faces | 4800 scalene triangles, 2400 isosceles triangles, 480 pentagons |
| Edges | 1200+2400+2400 |
| Vertices | 1200 |
| Vertex figure | Polyhedron with 4 tetragons and 8 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic chiliadiacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(40), order 4800 |
| Convex | Yes |
| Nature | Tame |
The tetracontafold icosidodecaswirlchoron is an isogonal polychoron with 480 pentagonal gyroprisms, 2400 phyllic disphenoids, and 1200 vertices. 4 pentagonal gyroprisms and 8 phyllic disphenoids join at each vertex. It is the tenth in an infinite family of isogonal icosidodecahedral swirlchora.