Medial deltoidal hexecontahedron

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.

The kites have two angles of

arccos ⁡ (

arccos ⁡ ( −

arccos ⁡ ( −

The dihedral angle equals

The ratio between the lengths of the long and short edges is

Part of each kite lies inside the solid, hence is invisible in solid models.

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3D model of a medial deltoidal hexecontahedron