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Great triakis icosahedron

From Wikipedia, the free encyclopedia
Great triakis icosahedron
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
3D model of a great triakis icosahedron

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.

Proportions

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The triangles have one angle of and two of . The dihedral angle equals .

See also

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References

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  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
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