12-5 antibigyrochoron
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| 12-5 antibigyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 24 20-vertex dodecahedra |
| Faces | 24 kites, 48 irregular tetragons, 24+24 mirror-symmetric hexagons, 24 mirror-symmetric octagons |
| Edges | 24+24+48+48+48+48 |
| Vertices | 24+24+24+48 |
| Vertex figure | 24+24+24 phyllic disphenoids, 48 irregular tetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 12-5 double gyrostep prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(12)+×4×I, order 48 |
| Convex | Yes |
| Nature | Tame |
The 12-5 antibigyrochoron is a convex isochoric polychoron with 24 identical cells.
Each cell of this polychoron has mirror symmetry, with 2 octagons, 4 hexagons, and 6 tetragons for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".