Rhombidodecaswirlic tetracosioctacontachoron
Jump to navigation
Jump to search
| Rhombidodecaswirlic tetracosioctacontachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 480 20-vertex tetradecahedra |
| Faces | 960 isosceles triangles, 960 kites, 960 mirror-symmetric pentagons, 480 rectangular-symmetric octagons |
| Edges | 240+960+1920+1920 |
| Vertices | 240+960+960 |
| Vertex figure | 960+960 phyllic disphenoids, 240 square gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Tetracontafold cuboctaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●I2(40), order 1920 |
| Convex | Yes |
| Nature | Tame |
The rhombidodecaswirlic tetracosioctacontachoron is an isochoric polychoron with 480 identical cells. It is the fifth in an infinite family of isochoric rhombic dodecahedral swirlchora.
Each cell of this polychoron has chiral digoanl prismatic symmetry, with 2 rectangular-symmetric octagons, 4 mirror-symmetric pentagons, 4 kites, and 4 isosceles triangles for faces.