Relating the Rhombic Triacontahedron to the Rhombic Icosahedron
Remove one zone (consisting of ten rhombi) from the rhombic triacontahedron (RT). Move one of the remaining two caps to the other to form a rhombic icosahedron. You can control the opacity of the various parts. The relationship to the cube is also shown. The rhombic icosahedron is a polar zonohedron.