Cube 30 Compound 3

This is a compound of 30 cubes, with Icosahedral edge symmetry.  It belongs to the symmetry group 60 | A5 x I / E x I, for which the descriptive (the original cube) shares an order 4 symmetry axis with a 2-fold axis of A5, as described in H.F.Verheyen's "Symmetry Orbits". It has 5-fold, 4-fold, 3-fold, and 2-fold symmetry. It's based on the descrtiption by Marcel Tunnissen of cube compounds with rotational freedom. The original cube was rotated by angle μ2 = 13.28 degrees before it was reflected into icoshedral edge symmetry.