New Wikipedia article: Staircase paradox, https://en.wikipedia.org/wiki/Staircase_paradox, on the familiar example of staircase curves in a unit square that uniformly converge to the diagonal of the square, while their lengths converge to the wrong number (2, rather than \(\sqrt 2\). Somehow we don't seem to have already had an article on this example.
I'm sure there must be many more published sources on this example than the ones I used; if you think I missed something important, please let me know.
@11011110 ooh I didn’t know there was a name for this! I remember thinking in high school when I was first learning limits or integrals or something that there’s a weird discontinuity between any infinitesimal step size and 0. It bothered me! (Still does, but I probably haven’t thought about it in almost 20 years)
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