Square-pentakis dodecahedral duotegum
Jump to navigation
Jump to search
| Square-pentakis dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m4o2o5m3m (      ) |
| Elements | |
| Tera | 240 digonal disphenoidal pyramids |
| Cells | 120 digonal disphenoids, 240+240 sphenoids |
| Faces | 48+60+80+120 isosceles triangles, 240 scalene triangles |
| Edges | 4+30+48+60+80 |
| Vertices | 4+12+20 |
| Vertex figure | 4 pentakis dodecahedral tegums, 20 square-hexagonal duotegums, 12 square-pentagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Square-truncated icosahedral duoprism |
| Abstract & topological properties | |
| Flag count | 28800 |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3×B2, order 960 |
| Convex | Yes |
| Nature | Tame |
The square-pentakis dodecahedral duotegum is an isoteric duotegum that consists of 240 digonal disphenoidal pyramids and 36 vertices.