Rhombitriacontaswirlic chiliadiacosichoron
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| Rhombitriacontaswirlic chiliadiacosichoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1200 12-vertex decahedra |
| Faces | 2400 kites, 2400 isosceles trapezoids, 1200 rhombi |
| Edges | 480+2400+4800 |
| Vertices | 480+2400 |
| Vertex figure | 2400 phyllic disphenoids, 480 pentagonal gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Tetracontafold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(40), order 4800 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic chiliadiacosichoron is an isochoric polychoron with 1200 identical cells. It is the tenth in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rhombi, 4 isosceles trapezoids, and 4 kites for faces.