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