Truncated pentakis dodecahedron

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Truncated pentakis dodecahedron
Conway polyhedron Dk6k5tI.png
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 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.

Related polyhedra

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 Uniform polyhedron-53-t0.png
D
Truncated rhombic triacontahedron.png
kD
Conway polyhedron Dk6k5tI.png
tkD
Conway polyhedron dk6k5at5daD.png Goldberg polyhedron 5 0.png Conway polyhedron tkt5daD.png Goldberg polyhedron 7 0.png Conway polyhedron dk6k5adk6k5at5daD.png
Duals Uniform polyhedron-53-t2.png
I
Conway polyhedron k5aD.png
cD
Conway polyhedron K6k5tI.png
ktI
Conway polyhedron k6k5at5daD.png Conway polyhedron kdkt5daD.png

See also

References

External links