# Truncated pentakis dodecahedron

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Truncated pentakis dodecahedron
Conway notation tkD
Goldberg polyhedron GPV(3,0) or {5+,3}3,0
Fullerene C180 [1]
Faces92:
12 pentagons
20+60 hexagons
Edges270 (2 types)
Vertices180 (2 types)
Vertex configuration (60) 5.6.6
(120) 6.6.6
Symmetry group Icosahedral (Ih)
Dual polyhedron Pentahexakis 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.

## Contents

It is in an infinite sequence of Goldberg polyhedra:

IndexGP(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

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## References

• Deza, A.; Deza, M.; Grishukhin, V. (1998), "Fullerenes and coordination polyhedra versus half-cube embeddings", Discrete Mathematics , 192 (1): 41–80, doi:, archived from the original on 2007-02-06.
• Antoine Deza, Michel Deza, Viatcheslav Grishukhin, Fullerenes and coordination polyhedra versus half-cube embeddings, 1998 PDF