The Borsuk-Ulam theorem from topology solving a counting puzzle. Truly unexpected, truly beautiful.
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Mathologer's related video: https://youtu.be/7s-YM-kcKME
(Seriously, Mathologer is great)
VSauce on fixed points: https://youtu.be/csInNn6pfT4
The original 1986 by Alon and West with this proof: https://goo.gl/XeI58w
EE Paper using ideas related to this puzzle: https:/
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