Hexagonal-pentagonal icositetrahedral duotegum
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| Hexagonal-pentagonal icositetrahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m6o2p4p3p (       ) |
| Elements | |
| Tera | 144 mirror-symmetric pentagonal scalenes |
| Cells | 72 digonal disphenoids, 144+144 sphenoids, 144 irregular pentagonal pyramids |
| Faces | 36+48+72+144 isosceles triangles, 144+144 scalene triangles, 24 irregular pentagons |
| Edges | 6+12+24+24+36+48+144 |
| Vertices | 6+6+8+24 |
| Vertex figure | 6 pentagonal icositetrahedral tegums, 6 square-hexagonal duotegums, 8+24 triangular-hexagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal-snub cubic duoprism |
| Abstract & topological properties | |
| Flag count | 28800 |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3+×G2, order 288 |
| Convex | Yes |
| Nature | Tame |
The hexagonal-pentagonal icositetrahedral duotegum is an isoteric duotegum that consists of 144 mirror-symmetric pentagonal scalenes and 44 vertices.