Rhombitriacontaswirlic octacositetracontachoron
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| Rhombitriacontaswirlic octacositetracontachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 840 32-vertex octadecahedra |
| Faces | 1680 isosceles triangles, 1680 kites, 840 rhombi, 1680 mirror-symmetric hexagons, 1680 mirror-symmetric enneagons |
| Edges | 1680+1680+3360+3360+3360 |
| Vertices | 1680+1680+1680+1680 |
| Vertex figure | 1680+1680+1680+1680 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Icosioctafold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(28), order 3360 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic enneacosihexecontachoron is an isochoric polychoron with 840 identical cells. It is the seventh in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 4 mirror-symmetric enneagons, 4 mirror-symmetric hexagons, 2 rhombi, 4 kites, and 4 isosceles triangles for faces.