New Wikipedia article: Staircase paradox, en.wikipedia.org/wiki/Staircas, 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.

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@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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