Parabigyrate rhombicosidodecahedron

In geometry, the parabigyrate rhombicosidodecahedron is one of the Johnson solids (). It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupolae rotated through 36 degrees. It is also a canonical polyhedron.

Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are:

• The gyrate rhombicosidodecahedron () where only one cupola is rotated;
• The metabigyrate rhombicosidodecahedron () where two non-opposing cupolae are rotated;
• And the trigyrate rhombicosidodecahedron () where three cupolae are rotated.

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