Parabidiminished rhombicosidodecahedron

In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids ($J79 – J80 – J81$). It is also a canonical polyhedron.

It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupolae removed. Related Johnson solids are the diminished rhombicosidodecahedron ($D5d$) where one cupola is removed, the metabidiminished rhombicosidodecahedron ($20(4.5.10) 10+20(3.4.5.4)$) where two non-opposing cupolae are removed, and the tridiminished rhombicosidodecahedron ($J80$) where three cupolae are removed.