Great icosacronic hexecontahedron

Great icosacronic hexecontahedron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 52 (χ = −8)
Symmetry group Ih, [5,3], *532
Index references DU48
dual polyhedron Great icosicosidodecahedron

In geometry, the great icosacronic hexecontahedron (or great sagittal trisicosahedron) is the dual of the great icosicosidodecahedron. Its faces are darts. A part of each dart lies inside the solid, hence is invisible in solid models.

3D model of a great icosacronic hexecontahedron

Proportions

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Faces have two angles of  , one of   and one of  . Its dihedral angles equal  . The ratio between the lengths of the long and short edges is  .


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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Weisstein, Eric W. "Great icosacronic hexecontahedron". MathWorld.