Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces
3Blue1Brown 3Blue1Brown
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 Published On Nov 18, 2018

Solving a discrete math puzzle using topology.
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/borsuk-thanks

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

These videos are supported by the community.
https://www.patreon.com/3blue1brown

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

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

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

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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 on new videos, subscribe: http://3b1b.co/subscribe

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