Heptagonal-pentagonal hexecontahedral duotegum
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| Heptagonal-pentagonal hexecontahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m7o2p5p3p |
| Elements | |
| Tera | 420 mirror-symmetric pentagonal scalenes |
| Cells | 210 digonal disphenoids, 420+420 sphenoids, 420 irregular pentagonal pyramids |
| Faces | 84+140+210+420 isosceles triangles, 420+420 scalene triangles, 60 irregular pentagons |
| Edges | 7+30+60+60+84+140+420 |
| Vertices | 7+12+20+60 |
| Vertex figure | 7 pentagonal hexecontahedral tegums, 12 pentagonal-heptagonal duotegums, 20+60 triangular-heptagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Heptagonal-snub dodecahedral duoprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3+×I2(7), order 840 |
| Convex | Yes |
| Nature | Tame |
The heptagonal-pentagonal hexecontahedral duotegum is an isoteric duotegum that consists of 420 mirror-symmetric pentagonal scalenes and 99 vertices.