Truncated pentakis dodecahedron
| Truncated pentakis dodecahedron | |
|---|---|
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| Conway notation | tkD |
| Goldberg polyhedron | GV(3,0) |
| Fullerene | C180[1] |
| Faces | 92: 12 pentagons 20+60 hexagons |
| Edges | 270 (2 types) |
| Vertices | 180 (2 types) |
| Vertex configuration | (60) 5.6.6 (120) 6.6.6 |
| Symmetry group | Icosahedral (Ih) |
| Dual polyhedron | |
| Properties | convex |
The truncated pentakis dodecahedron is a convex polyhedron constructed as a truncation of the pentakis dodecahedron. It is Goldberg polyhedron GV(3,0), with pentagonal faces separated by an edge-direct distance of 3 steps.
The pentakis dodecahedron is the dual of the truncated icosahedron, with face configuration 5.6.6.
Related polyhedra
It is in an infinite sequence of Goldberg polyhedra:
| Index | G(1,0) | G(2,0) | G(3,0) | G(4,0) | G(5,0) | G(6,0) | G(7,0) | G(8,0)... |
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See also
References
- Deza, A.; Deza, M.; Grishukhin, V. (1998), "Fullerenes and coordination polyhedra versus half-cube embeddings", Discrete Mathematics, 192 (1): 41–80, doi:10.1016/S0012-365X(98)00065-X.
- Antoine Deza, Michel Deza, Viatcheslav Grishukhin, Fullerenes and coordination polyhedra versus half-cube embeddings, 1998 PDF [1]
External links
- VTML polyhedral generator Try "tkD" (Conway polyhedron notation)