Great triakis icosahedron

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

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.

3D model of a great triakis icosahedron

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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