Trigyrate rhombicosidodecahedron
In geometry, the trigyrate rhombicosidodecahedron is one of the Johnson solids. It contains 20 triangles, 30 squares and 12 pentagons. It is also a canonical polyhedron.
It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae rotated through 36 degrees.
Related Johnson solids are
the gyrate rhombicosidodecahedron where one cupola is rotated,
the parabigyrate rhombicosidodecahedron where two opposing cupolae are rotated and
the metabigyrate rhombicosidodecahedron where two non-opposing cupolae are rotated.
