Hectofold icosidodecaswirlchoron
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| Hectofold icosidodecaswirlchoron | |
|---|---|
| File:Hectofold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 6000+6000 phyllic disphenoids, 1200 pentagonal gyroprisms |
| Faces | 12000+12000 scalene triangles, 6000 isosceles triangles, 1200 pentagons |
| Edges | 3000+6000+6000+6000 |
| Vertices | 3000 |
| Vertex figure | Polyhedron with 4 tetragons and 16 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic trischiliachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(100), order 12000 |
| Convex | Yes |
| Nature | Tame |
The hectofold icosidodecaswirlchoron is an isogonal polychoron with 1200 pentagonal gyroprisms, 12000 phyllic disphenoids of two kinds, and 3000 vertices. 4 pentagonal gyroprisms and 16 phyllic disphenoids join at each vertex. It is the twenty-fifth in an infinite family of isogonal icosidodecahedral swirlchora.