Rhombitriacontaswirlic chiliaoctacontachoron
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| Rhombitriacontaswirlic chiliaoctacontachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1080 20-vertex tetradecahedra |
| Faces | 2160 kites, 1080 rhombi, 2160+2160 mirror-symmetric pentagons |
| Edges | 720+2160+4320+4320 |
| Vertices | 720+2160+2160 |
| Vertex figure | 2160+2160 phyllic disphenoids, 720 triangular gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triacontahexafold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(36), order 4320 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic chiliaoctacontachoron is an isochoric polychoron with 1080 identical cells. It is the ninth in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 8 pentagons, 2 rhombi, and 4 kites, for faces.