Relations between Golden Rhombic Solids and Some Archimedean Solids

This Demonstration shows relations between the Platonic and Archimedean solids: icosahedron, dodecahedron, icosidodecahedron, rhombicosidodecahedron, truncated dodecahedron, truncated icosahedron, great rhombicosidodecahedron, and certain golden rhombic solids. A golden rhombic solid is a solid whose faces are golden rhombi and solids that we get from golden rhombic solids by truncation of halves of rhombic dodecahedra of the second kind. The lengths of the edges of the Platonic or Archimedean solids equal the lengths of the shorter or larger diagonals of the golden rhombus.