Dodecaswirlic chiliaoctacontachoron
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| Dodecaswirlic chiliaoctacontachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1080 30-vertex icosidihedra |
| Faces | 5400 isosceles triangles, 5400 rhombi, 1080 pentagonal-symmetric pentadecagons |
| Edges | 1800+5400+10800 |
| Vertices | 1800+5400 |
| Vertex figure | 5400 phyllic disphenoids, 1800 triangular gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Enneacontafold icosaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(90), order 10800 |
| Convex | Yes |
| Nature | Tame |
The dodecaswirlic chiliaoctacontachoron, also known as the doeswirl 1080, is an isochoric polychoron with 1200 identical cells. It is the ninth in an infinite family of isochoric dodecahedral swirlchora.
Each cell of this polychoron has chiral pentagonal prismatic symmetry, with 2 pentagonal-symmetric pentadecagons, 10 rhombi, and 10 isosceles triangles for faces.