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.
