Truncated triakis icosahedron
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Truncated triakis icosahedron | |
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Conway notation | t10kI = dk10tD |
Faces | 12 decagons 60 pentagons |
Edges | 210 |
Vertices | 140 |
Dual | Decakis truncated dodecahedron |
Vertex configuration | 12 (5.5.5) 60 (5.5.10) |
Symmetry group | Ih |
Properties | convex |
![]() Net |
The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 10 sets of 3 pentagons arranged in an icosahedral arrangement, with 12 decagons in the gaps.
Triakis icosahedron
It is constructed from taking a triakis icosahedron by truncating the order-10 vertices. This creates 12 regular decagon faces, and leaves 60 mirror-symmetric pentagons.
![]() Triakis icosahedron |
Decakis truncated dodecahedron
The dual of the truncated triakis icosahedron is called a decakis truncated dodecahedron. It can be seen as a truncated dodecahedron with decagonal pyramids augmented to the faces.
![]() Truncated dodecahedron |
![]() Decakis truncated dodecahedron |
![]() Net |
See also
External links
![]() | Original source: https://en.wikipedia.org/wiki/Truncated triakis icosahedron.
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