Metagyrate diminished rhombicosidodecahedron

In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids ($J77 – J78 – J79$). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola ($Cs$) rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot be adjacent.)