> 19. Given a solid ball in 3‑dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball. While you're at it, you can completely turn that sphere inside out without creating any holes or creases[1]. [1] [this video]
Here are two classic youtube videos on the topic of sphere eversion; they mostly overlap, but I am posting both for double the hilarity in the comment sections :) (the full 21 minute one) [this video] (the first 10 minutes) [link] If I remember correctly, I think the 10 minute one has the more hilarious comment section.
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3 Hacker News comments
From the HN archive; up to 20 kept per video, favoring different commenters. Recommendations first.