Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces

Solving a discrete math puzzle using topology.
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Want more fair division math fun? Check out this Mathologer video
https://youtu.be/7s-YM-kcKME
(Seriously, Mathologer is great)

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The original 1986 by Alon and West with this proof
https://m.tau.ac.il/~nogaa/PDFS/Publications/The%20Borsuk-Ulam%20Theorem%20and%20bisection%20of%20necklaces.pdf

VSauce on fixed points
https://youtu.be/csInNn6pfT4

EE Paper using ideas related to this puzzle
https://dl.acm.org/citation.cfm?id=802179

I first came across this paper thanks to Alon Amit's answer on this Quora post
https://www.quora.com/As-of-2016-what-do-mathematicians-on-Quora-think-of-the-3Blue1Brown-maths-videos

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Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

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Видео Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces канала 3Blue1Brown