Half-assed physical analogs can be a drag, especially when the analogy breaks down after any bit of scrutiny. Geometric intuition, on the other hand, I often fi

Half-assed physical analogs can be a drag, especially when the analogy breaks down after any bit of scrutiny. Geometric intuition, on the other hand, I often find worth the weight of a thousand words. There have been times I haven't been able to make my way through a dense piece of mathematical text, only to pop open another book on the same topic to find a single picture that makes all of the pieces click.