The name "rhombicosidodecahedron" refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the rhombic triacontahedron which is dual to or icosahedron, from truncation operations on either uniform polyhedron.
The name "rhombicosidodecahedron" refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the rhombic triacontahedron which is dual to the icosidodecahedron. It can also be called an "expanded" or "cantellated" dodecahedron or icosahedron, from truncation operations on either uniform polyhedron.