Metabidiminished rhombicosidodecahedron

In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids ($J80 – J81 – J82$).

It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae ($C2v$) removed. Related Johnson solids are:
 * The diminished rhombicosidodecahedron ($5×4(4.5.10) 3×2+6×4(3.4.5.4)$) where one cupola is removed,
 * The parabidiminished rhombicosidodecahedron ($J81$) where two opposing cupolae are removed,
 * The gyrate bidiminished rhombicosidodecahedron ($J5$) where two non-opposing cupolae are removed and a third is rotated 36 degrees,
 * And the tridiminished rhombicosidodecahedron ($J76$) where three cupolae are removed.