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Here's another animation. This one demonstrates one way that a transformation can fail to be natural. It was inspired by Daniel Schepler's answer at "Non-natural transformation example", https://math.stackexchange.com/q/2772881 . Thanks to [deleted] at https://www.reddit.com/r/CategoryTheory/comments/kq9hvj/natural_transformation_intuition/ for posting the link. My animation is at http://www.j-paine.org/lds/sheaves1/se_cschem_fi.html .