Small 12-5 bigyrochoron
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| Small 12-5 bigyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 24 18-vertex hendecahedra |
| Faces | 24+24 kites, 24 squares, 24 mirror-symmetric pentagons, 24 mirror-symmetric hexagons, 12 rectangular-symmetric octagons |
| Edges | 24+48+48+48+48 |
| Vertices | 12+12+12+24+48 |
| Vertex figure | 48 irregular tetrahedra, 24 phyllic disphenoids, 12+12 rhombic disphenoids, 12 tetragonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small 12-5 double step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(12)-5)×2R, order 48 |
| Convex | Yes |
| Nature | Tame |
The small 12-5 bigyrochoron is a convex isochoric polychoron with 24 identical cells.
Each cell of this polychoron has bilateral symmetry, with 1 rectangular-symmetric octagon, 2 mirror-symmetric hexagons, 2 mirror-symmetric pentagons, 2 squares, and 4 kites for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".