Tetrakis dodecagonal duotegum
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| Tetrakis dodecagonal duotegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 576 sphenoids |
| Faces | 288+288+576 isosceles triangles |
| Edges | 24+144+576 |
| Vertices | 24+144 |
| Vertex figure | 144 tetragonal disphenoids, 24 triakis dodecagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Truncated dodecagonal duoprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(12)≀S2, order 1152 |
| Convex | Yes |
| Nature | Tame |
The tetrakis dodecagonal duotegum is a convex isochoric polychoron with 576 sphenoids as cells.
Each cell of this polychoron has mirror symmetry, with 4 isosceles triangles for faces.