Octacontafold icosidodecaswirlchoron
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| Octacontafold icosidodecaswirlchoron | |
|---|---|
| File:Octacontafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 4800+4800 phyllic disphenoids, 960 pentagonal gyroprisms |
| Faces | 9600+9600 scalene triangles, 4800 isosceles triangles, 960 pentagons |
| Edges | 2400+4800+4800+4800 |
| Vertices | 2400 |
| Vertex figure | Polyhedron with 4 tetragons and 16 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic dischiliatetracosichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(80), order 9600 |
| Convex | Yes |
| Nature | Tame |
The octacontafold icosidodecaswirlchoron is an isogonal polychoron with 960 pentagonal gyroprisms, 9600 phyllic disphenoids of two kinds, and 2400 vertices. 4 pentagonal gyroprisms and 16 phyllic disphenoids join at each vertex. It is the twentieth in an infinite family of isogonal icosidodecahedral swirlchora.