Thirty cubes are placed on the faces of rhombic triacontahedron (RT). At the same time the cubes rest on the square faces of a small rhombicosidodecahedron (SRD). The bottom faces of cubes produce the compound of five cubes when moved towards the origin. The compound of five cubes fits into a dodecahedron. When thin rhombuses having diagonal ratio of golden ratio squared are placed on the edges of the dodecahedron, and supplemented with rhombuses having diagonal ratio of two squared, then a rhombic enneacontahedron (RE) is obtained. When the thin rhombuses are widened then an RT is obtained. When the thin rhombuses are widened then the median RT is obtained. Icosahedron can be fitted in the thin rhombuses. When the thin rhombuses are widened and extended subsequently, then the great RT is obtained, which fits into an enlarged RT. It is advised to operate the controls in the sequence shown, although other variations may be explored, particularly the RT can be shown at the end of the sequence.
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