Rhombitriacontaswirlic chiliatetracositetracontachoron
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| Rhombitriacontaswirlic chiliatetracositetracontachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1440 28-vertex octadecahedra |
| Faces | 2880 isosceles triangles, 2880 kites, 1440 rhombi, 2880 mirror-symmetric pentagons, 2880 mirror-symmetric octagons |
| Edges | 960+2880+5760+5760+5760 |
| Vertices | 960+2880+2880+2880 |
| Vertex figure | 2880+2880+2880 phyllic disphenoids, 960 triangular gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Tetracontoctafold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(48), order 5760 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic chiliatetracositetracontachoron is an isochoric polychoron with 1440 identical cells. It is the twelfth in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 4 mirror-symmetric octagons, 4 mirror-symmetric pentagons, 2 rhombi, 4 kites, and 4 isosceles trianlges for faces.