This is a compound of 30 cubes, with Icosahedral edge symmetry. It belongs to the symmetry group 30 | A5 x I / C2 x I / μ, as described in H.F.Verheyen's "Symmetry Orbits", so it has 5-fold, 4-fold, 3-fold, and 2-fold symmetry. It's based on the model by Marcel Tunnissen. Angle μ = 31.7 degrees.