Great deltoidal hexecontahedron

In geometry, the great deltoidal hexecontahedron (or great sagittal ditriacontahedron) is a nonconvex isohedral polyhedron.

It is the dual of the nonconvex great rhombicosidodecahedron.

It is visually identical to the great rhombidodecacron.

It has 60 intersecting cross quadrilateral faces, 120 edges, and 62 vertices.

Its faces are darts.

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

It is also called a great strombic hexecontahedron.

The darts have two angles of

arccos ⁡ (

arccos ⁡ ( −

The dihedral angle equals

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

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3D model of a great deltoidal hexecontahedron