Great transitional 15-4 bigyrochoron
The great transitional 15-4 bigyrochoron is a convex isochoric polychoron with 30 identical cells.
| Great transitional 15-4 bigyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 30 27-vertex heptadecahedra |
| Faces | 60 scalene triangles, 60 irregular tetragons, 30+30+30 kites, 15 rhombi, 30 mirror-symmetric tetradecagons |
| Edges | 60+60+60+60+60+60+60 |
| Vertices | 15+30+30+30+30+60 |
| Vertex figure | 60 irregluar tetrahedra, 30+30+30 phyllic disphenoids, 15 rhombic disphenoids, 30 bilaterally-symmetric wedges |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great transitional 15-4 double step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(15)-4)×2R, order 60 |
| Convex | Yes |
| Nature | Tame |
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric tetradecagons, 1 rhombus, 6 kites, 4 irregular tetragons, and 4 scalene triangles for faces.