34-13 gyrochoron
The 34-13 gyrochoron is a convex isochoric polychoron with 34 identical cells.
| 34-13 gyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 34 20-vertex dodecahedra |
| Faces | 68 kites, 68 mirror-symmetric pentagons, 68 mirror-symmetric hexagons |
| Edges | 68+136+136 |
| Vertices | 34+68+68 |
| Vertex figure | 68+68 phyllic disphenoids, 34 tetragonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 34-13 step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(34)-13)×2I, order 136 |
| Convex | Yes |
| Nature | Tame |
Each cell of this polychoron has prodigonal antiprismatic symmetry, with 4 mirror-symmetric hexagons, 4 mirror-symmetric pentagons, and 4 kites for faces.