Great dodecacronic hexecontahedron

Great dodecacronic hexecontahedron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 44 (χ = −16)
Symmetry group Ih, [5,3], *532
Index references DU61
dual polyhedron Great dodecicosidodecahedron

In geometry, the great dodecacronic hexecontahedron (or great lanceal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform great dodecicosidodecahedron. Its 60 intersecting quadrilateral faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.

3D model of a great dodecacronic hexecontahedron

Proportions

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Each kite has 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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