Gyrate rhombicosidodecahedron
In geometry, the gyrate rhombicosidodecahedron is one of the
Johnson solids. It is also a canonical polyhedron.
Related polyhedron
It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees. They have the same faces around each vertex, but vertex configurations along the rotation become a different order, 3.4.4.5.Rhombicosidodecahedron | Gyrate rhombicosidodecahedron |
Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are:
the parabigyrate rhombicosidodecahedron where two opposing cupolae are rotated, the metabigyrate rhombicosidodecahedron where two non-opposing cupolae are rotated and the trigyrate rhombicosidodecahedron where three cupolae are rotated.