Parabistellated deltoidal hexecontahedron
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| Parabistellated deltoidal hexecontahedron | |
|---|---|
 | |
| Rank | 3 |
| Space | Spherical |
| Elements | |
| Faces | 20 scalene triangles 30 kites |
| Edges | 10+10+10+10+20+20 |
| Vertices | 2+10+10+10+10 |
| Vertex figures | 2 decagons |
| 10 triangles | |
| 10+10 squares | |
| 10 pentagons | |
| Measures | |
| Central density | 1 |
| Number of external pieces | 42 |
| Level of complexity | 18 |
| Related polytopes | |
| Dual | Parabidiminished rhombicosidodecahedron |
| Abstract & topological properties | |
| Flag count | 360 |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | I2(10)×A1/2, order 20 |
| Convex | Yes |
| Nature | Tame |
The parabistellated deltoidal hexecontahedron is a polyhedron formed by partially stellating two opposing ring-like patches of faces of a deltoidal hexecontahedron. It is the dual of the parabidiminished rhombicosidodecahedron.
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