Rhombidodecaswirlic pentacosiheptacontahexachoron
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| Rhombidodecaswirlic pentacosiheptacontahexachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 576 16-vertex tetradecahedra |
| Faces | 1152+1152 isosceles triangles, 1152 kites, 576 rectangular-symmetric octagons |
| Edges | 288+384+2304+2304 |
| Vertices | 288+384+1152 |
| Vertex figure | 1152 phyllic disphenoids, 384 triangular gyrotegums, 288 square gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Tetracontoctafold cuboctaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●I2(48), order 2304 |
| Convex | Yes |
| Nature | Tame |
The rhombidodecaswirlic pentacosiheptacontahexachoron is an isochoric polychoron with 576 identical cells. It is the sixth in an infinite family of isochoric rhombic dodecahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric octagons, 4 kites, and 8 isosceles triangles for faces.