Great rhombidodecacron

In geometry, the great rhombidodecacron (or Great dipteral ditriacontahedron) is a nonconvex isohedral polyhedron.

It is the dual of the great rhombidodecahedron.

It is visually identical to the great deltoidal hexecontahedron.

Its faces are antiparallelograms.

Each antiparallelogram has two angles of

arccos ⁡ (

The diagonals of each antiparallelogram intersect at an angle of

The dihedral angle equals

The ratio between the lengths of the long edges and the short ones equals

, which is the golden ratio.

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

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3D model of a great rhombidodecacron