ckerins, your reply sounds very interesting, but I can't understand fully what you said unless I know what "syntopically" and "esoteric" means. What are Hamiltonians and Lagrangians?
Yeah, I completely agree that visualization is one of the most powerful tools physicists has at their disposal. Myself, I rely heavily on visualization to understand physics. I find it easy to understand linear physics, but rotational physics, oh boy. It's difficult to visualize rotational physics without letting linear physics impose (the tangential quantities).