Great dodecacronic hexecontahedron
TypeStar polyhedron
Face
ElementsF = 60, E = 120
V = 44 (χ = 16)
Symmetry groupIh, [5,3], *532
Index referencesDU61
dual polyhedronGreat dodecicosidodecahedron
3D model of a great dodecacronic hexecontahedron

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.

Proportions

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

  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
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