Medial deltoidal hexecontahedron

Template:Short description Template:Uniform polyhedra db File:Medial deltoidal hexecontahedron.stl In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. Its 60 intersecting quadrilateral faces are kites.

Proportions

The kites have two angles of $\arccos (\frac{1}{6})\approx 80.40593177314^{\circ }$, one of $\arccos (-\frac{1}{8}+\frac{7}{24}\sqrt{5})\approx 58.18444611759^{\circ }$ and one of $\arccos (-\frac{1}{8}-\frac{7}{24}\sqrt{5})\approx 141.00369033613^{\circ }$. The dihedral angle equals $\arccos (-\frac{5}{7})\approx 135.58469140281^{\circ }$. The ratio between the lengths of the long and short edges is $\frac{27+7\sqrt{5}}{22}\approx 1.93874890193175$. Part of each kite lies inside the solid, hence is invisible in solid models.

References

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External links

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• Uniform polyhedra and duals

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