Truncated pentakis dodecahedron | |
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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 |
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Duals |
![]() I |
![]() cD |
![]() ktI |
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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 |
![]() |
![]() |