Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces

Comments · 1.3K

• ML

  @mlok4216 · 7 years ago (edited)

  2 thiefs have stolen a 17 jewels-type necklace.<br>One to the other: &quot;Yo, wanna count the jewels and split them evenly?&quot;<br>The other one: &quot;Nah, let&apos;s construct 18-dimensional hypersphere to help us out!&quot;<br>xD

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• EI

  @eier5472 · 5 years ago

  10 emeralds!? I know a villager that would give me like two wheat for that

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• AN

  @anuel3780 · 7 years ago (edited)

  <a href="https://www.youtube.com/watch?v=yuVqxCSsE7c&amp;t=236">3:56</a> don&apos;t cut or tear the sphere<br><b>FLASHBACK TO HOW TO TURN A SPHERE INSIDE OUT</b>

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• RE

  @Realsheepsoft · 6 years ago

  &quot;You&apos;re probably a mathematician at heart&quot; Thanks for the vote of confidence but I have my doubts lol

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• AM

  @amardexter9966 · 6 years ago

  &quot;Lets color each segment of line instead of jewels&quot;.<br>me colorblind: wait what?

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• ZO

  @ZoroarkChampion · 7 years ago (edited)

  This is the first video where I tried to understand fully every single step along the way. It took me nearly an hour to finish the video, but I’m glad I did! Having had no formal math education since graduating high school four years ago, it was harder than it should have been. It gave me an important insight in understanding math I hope someone else will be helped by: to ask with every step why it needs to be the case. If you can’t answer that question, try to figure it out for yourself. This way you will play with the math yourself, which I’ve found to be the only way to truly grasp and enjoy anything. <br>Thank you so much 3Blue1Brown for making these videos and explaining everything so clearly!

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• CK

  @ckannan90 · 2 years ago

  Please continue making shorts. I’ve been following you for years, but the shorts always introduce me to older videos I’ve missed

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• PI

  @pikcube · 5 years ago

  <a href="https://www.youtube.com/watch?v=yuVqxCSsE7c&amp;t=177">2:57</a> Can confirm, I was assisting a school district with dividing students into cohorts for reduced capacity classrooms, and I used this problem to build my solution

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• OO

  @ool647 · 7 years ago (edited)

  Grant, you should really do a ‘essance of topology’ series. It would be perfect for it’s a complicated topic, really hard to visualize<br>🙂🙂Like to make grant see this comment!

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• AK

  @akshaysachan6029 · 7 years ago

  I smiled when he said &quot;You and your friends want to split the booty evenly&quot;.<br>Great video btw

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• ST

  @StrawbieParfait · 5 years ago

  Okay, now do three thiefs!

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• CL

  @ClancyXanecrest · 7 years ago

  <a href="https://www.youtube.com/watch?v=yuVqxCSsE7c&amp;t=180">3:00</a> &quot;trying to minimize sharting&quot;<br>Generally a good idea

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