Truncated triakis icosahedron
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!bgcolor=#e7dcc3 colspan=2|Truncated triakis icosahedron | |
| align=center colspan=2|Image:Truncated triakis icosahedron.png | |
| bgcolor=#e7dcc3|Conway notation | t10kI = dk10tD |
| bgcolor=#e7dcc3|Faces | 12 decagons 60 pentagons |
| bgcolor=#e7dcc3|Edges | 210 |
| bgcolor=#e7dcc3|Vertices | 140 |
| bgcolor=#e7dcc3|Dual | Decakis truncated dodecahedron |
| bgcolor=#e7dcc3|Vertex configuration | 12 (5.5.5) 60 (5.5.10) |
| bgcolor=#e7dcc3|Symmetry group | Ih |
| bgcolor=#e7dcc3|Properties | convex |
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|colspan=2|220px |
The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 20 sets of 3 pentagons arranged in an icosahedral arrangement, with 12 decagons in the gaps.
Triakis icosahedron
It is constructed from a triakis icosahedron by truncating the order-10 vertices. This creates 12 regular decagon faces, and leaves 60 mirror-symmetric pentagons.
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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.
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See also
External links
- [http://www.georgehart.com/virtual-polyhedra/conway_notation.html George Hart's Polyhedron generator] - "t10kI" (Conway polyhedron notation)
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