48-17 gyrochoron
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| 48-17 gyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 48 28-vertex hexadecahedra |
| Faces | 96 kites, 48+96 rhombi, 96 mirror-symmetric pentagons, 48 rectangular-symmetric dodecagons |
| Edges | 96+192+192+192 |
| Vertices | 48+96+96+96 |
| Vertex figure | 96+96+96 phyllic disphenoids, 48 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 48-17 step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(48)-17)×2R, order 192 |
| Convex | Yes |
| Nature | Tame |
The 48-17 gyrochoron is a convex isochoric polychoron with 48 identical cells.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric dodecagons, 4 mirror-symmetric pentagons, 6 rhombi, and 4 kites for faces.