This Demonstration shows a dissection of the truncated icosidodecahedron (also called the great rhombicosidodecahedron) to a solid consisting of golden rhombohedra and halves of rhombic dodecahedron of the second kind.
Since half of a rhombic dodecahedron of the second kind consists of one golden prolate rhombohedron and one obtuse golden rhombohedron, the result of the dissection is a set of prisms. That such a dissection is possible follows from the fact that the truncated icosidodecahedron is a zonohedron.