Small icosacronic hexecontahedron

In geometry, the small icosacronic hexecontahedron (or small lanceal trisicosahedron) is a nonconvex isohedral polyhedron.

It is the dual of the uniform small icosicosidodecahedron.

Its faces are kites.

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

The kites have two angles of

arccos ⁡ (

arccos ⁡ ( −

The dihedral angle equals

arccos ⁡ (

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

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