Tetracontatetrafold icosidodecaswirlchoron
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| Tetracontatetrafold icosidodecaswirlchoron | |
|---|---|
| File:Tetracontatetrafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 2640+2640+2640+2640 phyllic disphenoids |
| Faces | 5280+5280+5280 scalene triangles, 2640+2640 isosceles triangles |
| Edges | 1320+2640+2640+2640+2640 |
| Vertices | 1320 |
| Vertex figure | 18-vertex polyhedron with 32 triangular faces |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic chiliatriacosicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(44), order 5280 |
| Convex | Yes |
| Nature | Tame |
The tetracontatetrafold icosidodecaswirlchoron is an isogonal polychoron with 10560 phyllic disphenoids of four kinds and 1320 vertices. 32 disphenoids join at each vertex. It is the eleventh in an infinite family of isogonal icosidodecahedral swirlchora.