Small icosacronic hexecontahedron

Small icosacronic hexecontahedron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 52 (χ = −8)
Symmetry group Ih, [5,3], *532
Index references DU31
dual polyhedron Small icosicosidodecahedron

In geometry, the small icosacronic hexecontahedron (or small lanceal trisicosahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform small icosicosidodecahedron. Its faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.

3D model of a small icosacronic hexecontahedron

Proportions

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The kites have two angles of  , one of   and one of  . The dihedral angle equals  . 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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