Icosioctafold icosidodecaswirlchoron
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| Icosioctafold icosidodecaswirlchoron | |
|---|---|
| File:Icosioctafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 1680+1680+1680+1680 phyllic disphenoids |
| Faces | 3360+3360+3360 scalene triangles, 1680+1680 isosceles triangles |
| Edges | 840+1680+1680+1680+1680 |
| Vertices | 840 |
| Vertex figure | Polyhedron with 32 triangular faces |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic octacositetracontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(28), order 3360 |
| Convex | Yes |
| Nature | Tame |
The icosioctafold icosidodecaswirlchoron is an isogonal polychoron with 6720 phyllic disphenoids of four kinds and 840 vertices. 32 cells join at each vertex. It is the seventh in an infinite family of isogonal icosidodecahedral swirlchora.