Bigyrate diminished rhombicosidodecahedron
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In geometry, the bigyrate diminished rhombicosidodecahedron is one of the Johnson solids (Template:Math). 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.)