Octagonal duotruncatotegum
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| Octagonal duotruncatotegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 256 mirror-symmetric edge-truncated tetrahedra |
| Faces | 256 scalene triangles, 256 kites, 128+128 mirror-symmetric pentagons |
| Edges | 16+128+128+256+256 |
| Vertices | 16+64+64+128 |
| Vertex figure | 64 tetragonal disphenoids, 128 notches, 64 digonal scalenohedra, 16 octambic tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Octagonal duotruncatoprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(8)≀S2, order 512 |
| Convex | Yes |
| Nature | Tame |
The octagonal duotruncatotegum is a convex isochoric polychoron and member of the duotruncatoprism family with 256 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.