Dodecaswirlic chiliadiacosichoron
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| Dodecaswirlic chiliadiacosichoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1200 50-vertex icosiheptahedra |
| Faces | 6000 kites, 3000 rhombi, 6000 mirror-symmetric pentagons, 1200 pentagonal-symmetric icosagons |
| Edges | 6000+12000+12000 |
| Vertices | 3000+6000+6000 |
| Vertex figure | 6000+6000 phyllic disphenoids, 3000 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hectofold icosaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(100), order 12000 |
| Convex | Yes |
| Nature | Tame |
The dodecaswirlic chiliadiacosichoron, also known as the doeswirl 1200, is an isochoric polychoron with 1200 identical cells. It is the tenth in an infinite family of isochoric dodecahedral swirlchora.
Each cell of this polychoron has chiral pentagonal prismatic symmetry, with 2 pentagonal-symmetric icosagons, 10 mirror-symmetric pentagons, 5 rhombi, and 10 kites for faces.