Enneagonal-pentagonal hexecontahedral duotegum
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| Enneagonal-pentagonal hexecontahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m9o2p5p3p (       ) |
| Elements | |
| Tera | 540 mirror-symmetric pentagonal scalenes |
| Cells | 270 digonal disphenoids, 540+540 sphenoids, 540 irregular pentagonal pyramids |
| Faces | 108+180+270+540 isosceles triangles, 540+540 scalene triangles, 60 irregular pentagons |
| Edges | 9+30+60+60+108+180+540 |
| Vertices | 9+12+20+60 |
| Vertex figure | 9 pentagonal hexecontahedral tegum, 12 pentagonal-enneagonal duotegums, 20+60 triangular-enneagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Enneagonal-snub dodecahedral duoprism |
| Abstract & topological properties | |
| Flag count | 108000 |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3+×I2(9), order 1080 |
| Flag orbits | 100 |
| Convex | Yes |
| Nature | Tame |
The enneagonal-pentagonal hexecontahedral duotegum is an isotopic duotegum that consists of 540 mirror-symmetric pentagonal scalenes and 101 vertices.