Rhombitriacontaswirlic enneacosihexecontachoron
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| Rhombitriacontaswirlic enneacosihexecontachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 960 40-vertex icosidihedra |
| Faces | 1920+1920 isosceles triangles, 1920+1920 kites, 960 rectangular-symmetric octagons, 1920 mirror-symmetric dodecagons |
| Edges | 1920+1920+3840+3840+3840+3840 |
| Vertices | 1920+1920+1920+1920+1920 |
| Vertex figure | 1920+1920+1920+1920+1920 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triacontadifold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(32), order 3840 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic enneacosihexecontachoron is an isochoric polychoron with 960 identical cells. It is the eighth in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 4 mirror-symmetric dodecagons, 2 rectangular-symmetric octagons, 8 kites, and 8 isosceles triangles for faces.