Great hexacronic icositetrahedron

In geometry, the great hexacronic icositetrahedron is the dual of the great cubicuboctahedron.

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 ⁡ ( −

arccos ⁡ (

The dihedral angle equals

arccos ⁡ (

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

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