Enneagonal-disdyakis triacontahedral duotegum
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| Enneagonal-disdyakis triacontahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m9o2m5m3m |
| Elements | |
| Tera | 1080 mirror-symmetric pentachora |
| Cells | 540+540+540 sphenoids, 1080 irregular tetrahedra |
| Faces | 108+180+270 isosceles triangles, 120+540+540+540 scalene triangles |
| Edges | 9+60+60+60+108+180+270 |
| Vertices | 9+12+20+30 |
| Vertex figure | 9 disdyakis triacontahedral tegums, 12 enneagonal-decagonal duotegums, 20 hexagonal-enneagonal duotegums, 30 square-enneagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Enneagonal-great rhombicosidodecahedral duoprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3×I2(9), order 2160 |
| Convex | Yes |
| Nature | Tame |
The enneagonal-disdyakis triacontahedral duotegum is an isoteric duotegum that consists of 1080 mirror-symmetric pentachora and 71 vertices.