Great dodecicosacron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 32 (χ = −28)
Symmetry group Ih, [5,3], *532
Index references DU63
dual polyhedron Great dodecicosahedron

In geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the great dodecicosahedron (U63). It has 60 intersecting bow-tie-shaped faces.

3D model of a great dodecicosacron

Proportions

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Each face has two angles of   and two angles of  . The diagonals of each antiparallelogram intersect at an angle of  . The dihedral angle equals  . The ratio between the lengths of the long edges and the short ones equals  , which is the golden ratio. Part of each face lies inside the solid, hence is invisible in solid models.

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 dodecicosacron". MathWorld.