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Small rhombidodecacron

From Wikipedia, the free encyclopedia
Small rhombidodecacron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 42 (χ = −18)
Symmetry group Ih, [5,3], *532
Index references DU39
dual polyhedron Small rhombidodecahedron
3D model of a small rhombidodecacron

In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.

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 ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. The dihedral angle equals .

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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