Triangular-rhombic dodecahedral duotegum
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| Triangular-rhombic dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m3o2o4m3o (     ) |
| Elements | |
| Tera | 36 rhombic scalenes |
| Cells | 72 digonal disphenoids, 36 rhombic pyramids |
| Faces | 18+24 isosceles triangles, 72 scalene triangles, 12 rhombi |
| Edges | 3+18+24+24 |
| Vertices | 3+6+8 |
| Vertex figure | 3 rhombic dodecahedral tegums, 6 triangular-square duotegums, 8 triangular-triangular duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular-cuboctahedral duoprism |
| Abstract & topological properties | |
| Flag count | 5760 |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3×A2, order 288 |
| Convex | Yes |
| Nature | Tame |
The triangular-rhombic dodecahedral duotegum is an isoteric duotegum that consists of 36 rhombic scalenes and 17 vertices.