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Great triakis icosahedron
Polyhedron with 60 faces From Wikipedia, the free encyclopedia
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In geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great stellated truncated dodecahedron. Its faces are isosceles triangles. Part of each triangle lies within the solid, hence is invisible in solid models.
Great triakis icosahedron | |
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![]() | |
Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 90 V = 32 (χ = 2) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU66 |
dual polyhedron | Great stellated truncated dodecahedron |

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Proportions
The triangles have one angle of and two of . The dihedral angle equals .
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See also
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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