We all know that you can fold a piece of paper along a straight line.
Here is a question to ponder:
Can you fold a piece of paper along a curve that isn’t straight without crumpling the paper?
Thoughts, theorems, expiriments, counter-examples, and half-baked ideas are all welcome. I’ve been thinking about this question for a while and done some experiments, but I don’t think I have a difinitive answer.