New (very different) video!
Added 2017-12-23 17:37:42 +0000 UTCHi Everyone,
Something very different for the holidays here, with numerous guests. This was fun to put together, and the math at the heart of it involves some of my favorite little nuggets from basic graph theory.
I really do think the question I pose at the end, for where specifically the proof breaks down on a mug, is a rewarding thing to ponder. I think I went years knowing *that* Euler's formula looks different on different surfaces, but had never really thought through *why*.
Hope you enjoy, and happy holidays!
-Grant
Comments
This is really cute, my graph theory professor gave this problem to me on a problem set. I.e drawing a K_3_3 graph on the torus is possible, but not on the plane/sphere. Great problem!
Ankit Agarwal
2017-12-27 05:11:22 +0000 UTCOne of my favorite videos! Right up there with Music and Measure Theory. I loved seeing the other content creators working on this puzzle, and I loved rediscovering the Euler characteristic formula through this engaging problem.
Bradley Sampson
2017-12-26 05:07:29 +0000 UTCThat was easy, but fun! Happy holidays!
Daniel Armesto
2017-12-24 12:22:20 +0000 UTCGlad you enjoyed it. I certainly had fun putting it all together.
3blue1brown
2017-12-24 01:11:18 +0000 UTCIt wasn't even meant to be promotional per se, but the site is MathsGear. It's a neat site, run by some friends, so I'd be happy if we could all share the love!
3blue1brown
2017-12-24 01:07:12 +0000 UTCThanks for the tip!
3blue1brown
2017-12-24 01:05:16 +0000 UTCThis was awesome! I remember doing something like this in my discrete math class. It was terribly boring ad I completely forgot the solution, rediscovering it myself was a blast! It gave me a perspective on what you might be able to do to get people hooked on this. It draws on the experience I just had in solving the puzzle and "The hardest problem on the hardest test" keep an eye out.
2017-12-24 00:59:31 +0000 UTCWay cool and there are still 2 shopping days until Christmas. Where can I purchase one of these?
2017-12-23 23:06:14 +0000 UTCWhat fun! Thank you for this!
Burt Humburg
2017-12-23 19:50:54 +0000 UTCPlease send this to FLEB (puzzle YouTube channel). <a href="https://www.youtube.com/channel/UCTlGuNR-3QM0PMPNCAcAX2w" rel="nofollow noopener" target="_blank">https://www.youtube.com/channel/UCTlGuNR-3QM0PMPNCAcAX2w</a>
Shelby Doolittle
2017-12-23 18:12:24 +0000 UTCSo checking this out now :D
Giovanni Viscardi
2017-12-23 17:46:53 +0000 UTCFirst! Also, can't wait to see it. Happy holidays!
Burt Humburg
2017-12-23 17:43:50 +0000 UTC
