Square duotruncatotegum
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| Square duotruncatotegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 64 mirror-symmetric edge-truncated tetrahedra |
| Faces | 64 scalene triangles, 64 kites, 32+32 mirror-symmetric pentagons |
| Edges | 8+32+32+64+64 |
| Vertices | 8+16+16+832 |
| Vertex figure | 16 tetragonal disphenoids, 32 notches, 16 digonal scalenohedra, 8 tetrambic tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Square duotruncatoprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B2≀S2, order 128 |
| Convex | Yes |
| Nature | Tame |
The square duotruncatotegum is a convex isochoric polychoron and member of the duotruncatotegum family with 64 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.