Rhombitriacontaswirlic hexacosichoron
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| Rhombitriacontaswirlic hexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 600 12-vertex decahedra |
| Faces | 1200 isosceles triangles, 600 rhombi, 1200 mirror-symmetric pentagons |
| Edges | 240+1200+2400 |
| Vertices | 240+1200 |
| Vertex figure | 1200 phyllic disphenoids, 240 pentagonal gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Icosafold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(20), order 2400 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic hexacosichoron is an isochoric polychoron with 600 identical cells. It is the fifth in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 4 mirror-symmetirc pentagons, 2 rhombi, and 4 isosceles triangles for faces.