Small 15-4 bigyrochoron
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| Small 15-4 bigyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 30 22-vertex tridecahedra |
| Faces | 60 scalene triangles, 30 kites, 30 mirror-symmetric pentagons, 30 mirror-symmetric hexagons, 15 rectangular-symmetric octagons, 30 mirror-symmetric octagons |
| Edges | 30+60+60+60+60+60 |
| Vertices | 15+30+30+30+60 |
| Vertex figure | 15 rhombic disphenoids, 30+30+30 phyllic disphenoids, 60 irregular tetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small 15-4 double step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(15)+×4×I, order 60 |
| Convex | Yes |
| Nature | Tame |
The small 15-4 bigyrochoron is a convex isochoric polychoron with 30 identical cells.
Each cell of this polychoron has mirror symmetry, with3 octagons, 2 hexagons, 2 pentagons, 2 tetragons, and 4 triangles for faces.