Dodecagonal-disdyakis dodecahedral duotegum
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| Dodecagonal-disdyakis dodecahedral duotegum | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m12o2m4m3m |
| Elements | |
| Tera | 576 mirror-symmetric pentachora |
| Cells | 288+288+288 sphenoids, 576 irregular tetrahedra |
| Faces | 72+96+144 isosceles triangles, 48+288+288+288 scalene triangles |
| Edges | 12+24+24+24+72+96+144 |
| Vertices | 6+8+12+12 |
| Vertex figure | 12 disdyakis dodecahedral tegums, 6 octagonal-dodecagonal duotegums, 8 hexagonal-dodecagonal duotegums, 12 square-dodecagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Dodecagonal-great rhombicuboctahedral duoprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3×I2(12), order 1152 |
| Convex | Yes |
| Nature | Tame |
The dodecagonal-disdyakis dodecahedral duotegum is an isoteric duotegum that consists of 576 mirror-symmetric pentachora and 38 vertices.
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