Heptagonal-disdyakis dodecahedral duotegum
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| Heptagonal-disdyakis dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m7o2m4m3m |
| Elements | |
| Tera | 336 mirror-symmetric pentachora |
| Cells | 168+168+168 sphenoids, 336 irregular tetrahedra |
| Faces | 42+56+84 isosceles triangles, 48+168+168+168 scalene triangles |
| Edges | 7+24+24+24+42+56+84 |
| Vertices | 6+7+8+12 |
| Vertex figure | 7 disdyakis dodecahedral tegums, 6 heptagonal-octagonal duotegums, 8 hexagonal-heptagonal duotegums, 12 square-heptagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Heptagonal-great rhombicuboctahedral duoprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3×I2(7), order 672 |
| Convex | Yes |
| Nature | Tame |
The heptagonal-disdyakis dodecahedral duotegum is an isoteric duotegum that consists of 336 mirror-symmetric pentachora and 33 vertices.