Triacontadifold icosidodecaswirlchoron
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| Triacontadifold icosidodecaswirlchoron | |
|---|---|
| File:Triacontadifold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 1920+1920+1920+1920+1920 phyllic disphenoids |
| Faces | 3840+3840+3840+3840 scalene triangles, 1920+1920 isosceles triangles |
| Edges | 960+1920+1920+1920+1920+1920 |
| Vertices | 960 |
| Vertex figure | Polyhedron with 40 triangular faces |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic enneacosihexecontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(32), order 3840 |
| Convex | Yes |
| Nature | Tame |
The triacontadifold icosidodecaswirlchoron is an isogonal polychoron with 9600 phyllic disphenoids of five kinds and 960 vertices. 40 cells join at each vertex. It is the eighth in an infinite family of isogonal icosidodecahedral swirlchora.