Who cares about topology? (Inscribed rectangle problem)

An unsolved conjecture, and a clever topological solution to a weaker version of the question.
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This video is based on a proof from H. Vaughan, 1977. To learn more, take a look at this survey:
https://pure.mpg.de/rest/items/item_3120610/component/file_3120611/content

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Видео Who cares about topology? (Inscribed rectangle problem) канала 3Blue1Brown