Decagonal-pentakis dodecahedral duotegum
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| Decagonal-pentakis dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m10o2o5m3m |
| Elements | |
| Tera | 600 digonal disphenoidal pyramids |
| Cells | 300 digonal disphenoids, 600+600 sphenoids |
| Faces | 60+120+200+300 isosceles triangles, 600 scalene triangles |
| Edges | 10+30+60+120+200 |
| Vertices | 10+12+20 |
| Vertex figure | 10 pentakis dodecahedral tegums, 20 hexagonal-decagonal duotegums, 12 pentagonal-decagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Decagonal-truncated icosahedral duoprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3×I2(10), order 2400 |
| Convex | Yes |
| Nature | Tame |
The decagonal-pentakis dodecahedral duotegum is an isoteric duotegum that consists of 600 digonal disphenoidal pyramids and 42 vertices.