Icositetrafold icosidodecaswirlchoron
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| Icositetrafold icosidodecaswirlchoron | |
|---|---|
| File:Icositetrafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 1440+1440 phyllic disphenoids, 480 triangular gyroprisms |
| Faces | 2880+2880 scalene triangles, 1440 isosceles triangles, 480 triangles |
| Edges | 720+1440+1440+1440 |
| Vertices | 720 |
| Vertex figure | Polyhedron with 4 tetragons and 16 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic heptacosicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(24), order 2880 |
| Convex | Yes |
| Nature | Tame |
The icositetrafold icosidodecaswirlchoron is an isogonal polychoron with 480 triangular gyroprisms, 2880 phyllic disphenoids of two kinds, and 720 vertices. 4 triangular gyroprisms and 16 phyllic disphenoids join at each vertex. It is the sixth in an infinite family of isogonal icosidodecahedral swirlchora.