33-10 gyrochoron
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| 33-10 gyrochoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 33 24-vertex tetradecahedra |
| Faces | 66 isosceles triangles, 66 rhombi, 66 mirror-symmetric hexagons, 33 rectangular-symmetric decagons |
| Edges | 66+66+132+132 |
| Vertices | 66+66+66 |
| Vertex figure | 66+66+66 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 33-10 step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(33)-10)×2R, order 132 |
| Convex | Yes |
| Nature | Tame |
The 33-10 gyrochoron is a convex isochoric polychoron with 33 identical cells.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric decagons, 4 mirror-symmetric hexagons, 4 rhombi, and 4 isosceles triangles for faces.