High Quality Content by WIKIPEDIA articles! In geometry, the rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. It is the polyhedral dual of the icosidodecahedron, and it is a zonohedron. The ratio of the long diagonal to the short diagonal of each face is exactly equal to the golden ratio, ?, so that the acute angles on each face measure 2 tan?1(1/?) = tan?1(2), or approximately 63.43°. A rhombus so obtained is called a golden rhombus.

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