Hexagonal-rhombic dodecahedral duotegum
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| Hexagonal-rhombic dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m6o o4m3o (      ) |
| Elements | |
| Tera | 72 rhombic scalenes |
| Cells | 144 digonal disphenoids, 72 rhombic pyramids |
| Faces | 36+48 isosceles triangles, 144 scalene triangles, 12 rhombi |
| Edges | 6+24+36+48 |
| Vertices | 6+6+8 |
| Vertex figure | 6 rhombic dodecahedral tegums, 6 square-hexagonal duotegums, 8 triangular-hexagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal-cuboctahedral duoprism |
| Abstract & topological properties | |
| Flag count | 11520 |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3×G2, order 576 |
| Convex | Yes |
| Nature | Tame |
The hexagonal-rhombic dodecahedral duotegum is an isoteric duotegum that consists of 72 rhombic scalenes and 20 vertices.