Bigyrate diminished rhombicosidodecahedron

In geometry, the bigyrate diminished rhombicosidodecahedron is one of the Johnson solids ($J78 – J79 – J80$). It can be constructed as a rhombicosidodecahedron with two pentagonal cupolae rotated through 36 degrees, and a third pentagonal cupola removed. (None of the cupolae can be adjacent.)