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Great triakis icosahedron

Polyhedron with 60 faces From Wikipedia, the free encyclopedia

Great triakis icosahedron
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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
Thumb
TypeStar polyhedron
FaceThumb
ElementsF = 60, E = 90
V = 32 (χ = 2)
Symmetry groupIh, [5,3], *532
Index referencesDU66
dual polyhedronGreat stellated truncated dodecahedron
Thumb
3D model of a great triakis icosahedron
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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
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