Gyrate bidiminished rhombicosidodecahedron

In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids ().

It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae () removed and a third is rotated 36 degrees. Related Johnson solids are:

• The diminished rhombicosidodecahedron () where one cupola is removed,
• The parabidiminished rhombicosidodecahedron () where two opposing cupolae are removed,
• The metabidiminished rhombicosidodecahedron () where two non-opposing cupolae are removed,
• And the tridiminished rhombicosidodecahedron () where three cupolae are removed.

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