Truncated pentakis dodecahedron

Truncated pentakis dodecahedron
Conway notation tkD
Goldberg polyhedron GPV(3,0) or {5+,3}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 Hexapentakis truncated icosahedron
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.

It is in an infinite sequence of Goldberg polyhedra:

Index GP(1,0) GP(2,0) GP(3,0) GP(4,0) GP(5,0) GP(6,0) GP(7,0) GP(8,0)...
Image
D
kD
tkD
Duals
I
cD
ktI

See also

References

  1. ^ C180 Isomers
  • 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, archived from the original on 2007-02-06.
  • Antoine Deza, Michel Deza, Viatcheslav Grishukhin, Fullerenes and coordination polyhedra versus half-cube embeddings, 1998 PDF [1]