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.
thumb|3D model of a parabigyrate rhombicosidodecahedron
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.