Great dodecacronic hexecontahedron

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

It is the dual of the uniform great dodecicosidodecahedron.

Its 60 intersecting quadrilateral faces are kites.

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

Each kite has two angles of

arccos ⁡ (

arccos ⁡ ( −

arccos ⁡ ( −

The dihedral angle equals

arccos ⁡ (

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

This polyhedron-related article is a stub.

You can help Wikipedia by expanding it.

3D model of a great dodecacronic hexecontahedron