Intro to Topology - Turning a Mug Into a Doughnut
80,052
Published 2022-08-03
CHAPTERS:
00:00 - Turning a Mug into a Doughnut
01:30 - Geometry vs. Topology
02:05 - Review on Polyhedra
02:58 - Euler Characteristic of a Sphere
04:07 - Euler Characteristic of a Torus
04:51 - Euler Characteristic Formula given no. of Holes
05:10 - A Homeomorphism Puzzle
05:42 - Puzzle Solution
06:54 - Topology Complexity Iceberg
07:07 - Closing
Previous Video on Möbius Strip and Klein Bottle: • Paradox of the Möbius Strip and Klein...
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All Comments (21)
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People just can’t wrap their heads around this. I tried explaining this to someone and they told me to get out of their house because they didn’t know who I was. It’s pretty simple if they just watch the video
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My dude Andrew, I first saw your 4d klein bottle video and instantly subscribed! You're really smart and good at what you do. Please keep creating and I can't wait to see what you come out with next!
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5:42 wow that gave me chills very intersting continue with your videos they deserves so much more views I wish you success
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Hi andrew, i recently bumped into your channel and i must say i wasn't disappointed. Keep em. coming
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These animations are amazing!
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That handcuff puzzle was pretty cool. The 3D animation really helped with understanding. Great video!
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hands down the most interesting video about coffee mugs and donuts ive watched
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Keep it up man!! You’ll only get better with time. Sorry I’m a little late to this video, had to move into college. Can’t wait for the next video. You deserve way more views with this amount of effort.
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Perfect intro to topology. I've used this one to explain to my wife, why I'm so much time in the computer... Thank you! now she still doesn't understand me completely, but she as a sense of why I like math so much
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What software do you use to make your amazing videos?
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More videos on topology for non mathematicians please. You did a great job of presenting concepts in a very understandable way.
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I hope you're still out there somewhere. Your videos are incredible, and I've already shared a this one and the 4D Klein bottle video a couple times. In any event, I hope you're well. And thank you for these videos, they're incredible.
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I love this channel! You discuss topics im most interested about! Keep posting pls!!
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This is exactly like that one video where those two people turn a sphere inside out. You’ve earned my subscription.
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congratulations on your first sponsor deal, glad your channel is growing and keep it up!
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These videos are awesome!!! I’m so glad to have found them and looking forward seeing more. Thank you so much 😊
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It's a pity that there aren't any new videos on this wonderful YouTube channel😔
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High quality work, really liked your klein bottle video, highly underrated, keep going 👍👍
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It's exiting how I was glued to the screen even if I didn't learn anything new. Thank you. We are waiting for future videos.
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I love how I got this into recommendations and I hate how I didn't know about this channel until today
