The great rhombicosidodecahedral graph is the Archimedean graph on 120 vertices and 180 edges that is the skeleton of the great rhombicosidodecahedron as well as the uniform great truncated icosidodecahedron.
It is cubic, has chromatic number 2, and is planar and Hamiltonian. It is also zero-symmetric.
It is implemented in the Wolfram Language as GraphData["GreatRhombicosidodecahedralGraph"].
