Cubes on a Rhombic Hexecontahedron

The squares on the faces of a rhombic hexecontahedron (RH) and a median rhombic triacontahedron (MRT) are actually the faces of a cluster of 30 cubes. You can see this by reducing the size of both the RH and MRT. The cubes sit on the smaller RH and MRT.

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