Triangular-disdyakis dodecahedral duotegum
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| Triangular-disdyakis dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m3o2m4m3m (     ) |
| Elements | |
| Tera | 144 mirror-symmetric pentachora |
| Cells | 72+72+72 sphenoids, 144 irregular tetrahedra |
| Faces | 18+24+36 isosceles triangles, 48+72+72+72 scalene triangles |
| Edges | 3+18+24+24+24+24+36 |
| Vertices | 3+6+8+12 |
| Vertex figure | 3 disdyakis dodecahedral tegums, 6 triangular-octagonal duotegums, 8 triangular-hexagonal duotegums, 12 triangular-square duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular-great rhombicuboctahedral duoprism |
| Abstract & topological properties | |
| Flag count | 17280 |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3×A2, order 288 |
| Convex | Yes |
| Nature | Tame |
The triangular-disdyakis dodecahedral duotegum is an isoteric duotegum that consists of 144 mirror-symmetric pentachora and 29 vertices.