Who cares about topology? (Inscribed rectangle problem)

An unsolved conjecture, and a clever topological solution to a weaker version of the question. Brought to you by you: http://3b1b.co/topology-thanks 
This video is based on a proof from H. Vaughan, 1977.
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you’re into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://www.youtube.com/playlist?list… 
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