40-11 gyrochoron
Jump to navigation
Jump to search
| 40-11 gyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 40 24-vertex tetradecahedra |
| Faces | 80 isosceles triangles, 80+80 mirror-symmetric hexagons, 40 rectangular-symmetric hexagons |
| Edges | 80+80+160+160 |
| Vertices | 80+80+80 |
| Vertex figure | 80+80+80 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 40-11 step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(40)-11)×2R, order 160 |
| Convex | Yes |
| Nature | Tame |
The 40-11 gyrochoron is a convex isochoric polychoron with 40 identical cells.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 8 mirror-symmetric hexagons, and 4 isosceles triangles for faces.