Decagonal-disdyakis triacontahedral duotegum
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| Decagonal-disdyakis triacontahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m10o2m5m3m |
| Elements | |
| Tera | 1200 mirror-symmetric pentachora |
| Cells | 600+600+600 sphenoids, 1200 irregular tetrahedra |
| Faces | 120+200+300 isosceles triangles, 120+600+600+600 scalene triangles |
| Edges | 10+60+60+60+120+200+300 |
| Vertices | 10+12+20+30 |
| Vertex figure | 10 disdyakis triacontahedral tegums, 12 decagonal-decagonal duotegums, 20 hexagonal-decagonal duotegums, 30 square-decagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Decagonal-great rhombicosidodecahedral duoprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3×I2(10), order 2400 |
| Convex | Yes |
| Nature | Tame |
The decagonal-disdyakis triacontahedral duotegum is an isoteric duotegum that consists of 1200 mirror-symmetric pentachora and 72 vertices.