Metagyrate diminished rhombicosidodecahedron
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In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids (Template:Math). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola (Template:Math) rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot be adjacent.)