Dodecagonal duoexpandotegum
The dodecagonal duoexpandotegum is a convex isochoric polychoron and member of the duoexpandotegum family with 576 mirror-symmetric triangular anittegums as cells.
| Dodecagonal duoexpandotegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 576 mirror-symmetric triangular antitegums |
| Faces | 576 irregular tetragons, 288+288+576 kites |
| Edges | 48+288+288+576+576 |
| Vertices | 24+24+144+144+288 |
| Vertex figure | 144 tetragonal disphenoids, 288 notches, 144 digonal scalenohedra, 24+24 dodecagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Dodecagonal duoexpandoprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(12)≀S2, order 1152 |
| Convex | Yes |
| Nature | Tame |
Each cell of this polychoron has mirror symmetry, with 4 kites and 2 irregular tetragons for faces.