Hexagonal-dihexagonal duoprismatic cupoliprism
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| Hexagonal-dihexagonal duoprismatic cupoliprism | |
|---|---|
| Rank | 5 |
| Type | Isogonal |
| Notation | |
| Coxeter diagram | xo6xx ox6xx&#y |
| Elements | |
| Tera | 12 hexagonal cupofastegiums, 12 hexagonal cupolic prisms, 2 hexagonal-dihexagonal duoprisms |
| Cells | 36 tetragonal disphenoids, 72 wedges, 36 cuboids, 24 hexagonal cupolas, 12+12 hexagonal prisms, 12 dihexagonal prisms |
| Faces | 144 isosceles triangles, 144 isosceles trapezoids, 72+72 rectangles, 24 hexagons, 12 dihexagons |
| Edges | 72+72+144+144 |
| Vertices | 144 |
| Vertex figure | Isosceles-trapezoidal pyramidal pyramid |
| Measures (base edge length 1, height h) | |
| Circumradius | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal-hexambic duotegmatic cupolitegum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | G2▲S2, order 288 |
| Convex | Yes |
| Nature | Tame |
The hexagonal-dihexagonal duoprismatic cupoliprism is a convex isogonal polyteron and a member of the duoprismatic cupoliprism family. It consists of 2 hexagonal-dihexagonal duoprisms, 12 hexagonal cupolic prisms, and 12 hexagonal cupofastegiums. 1 hexagonal-dihexagonal duoprism, 3 hexagonal cupolic prisms, and 2 hexagonal cupofastegiums join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.