A semi-regular solid with 30 faces, all rhombuses, this is a zonohedron (all edges can be grouped into set of parallel lines called zones). It is the dual of the icosidodecahedron ( an Archimedean solid which is a dodecahedron with the corners cut off at the edge centers, giving 12 regular pentagon faces and 20 equilateral triangle faces). The rhombus diagonals are in the golden ratio. The 32 vertices contain those of 8 regular tetrahedrons, 4 separate cubes, the 12 dodecahedron vertices, and the 12 icosahedron vertices. Archimedean duals are called Catalan solids.
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