Oh, for sure, I don't mean to suggest that non-commutativity isn't an important concept. But just as I think throwing a ball around is of limited value beyond a

Oh, for sure, I don't mean to suggest that non-commutativity isn't an important concept. But just as I think throwing a ball around is of limited value beyond a bit of intuition in studying aerodynamics, I don't think playing with a Rubik's cube is going to fundamentally advance your understanding of transforms.