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]
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.


It is in an infinite sequence of Goldberg polyhedra:

Image Uniform polyhedron-53-t0.png
Truncated rhombic triacontahedron.png
Conway polyhedron Dk6k5tI.png
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
Conway polyhedron k5aD.png
Conway polyhedron K6k5tI.png
Conway polyhedron k6k5at5daD.png Conway polyhedron kdkt5daD.png

See also

Related Research Articles

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Small stellated dodecahedron a Kepler-Poinsot polyhedron

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Simple polytope

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