Why this puzzle is impossible

Featuring quite a few science/math YouTubers! Vihart response: https://youtu.be/CruQylWSfoU Brought to you by you: http://3b1b.co/mug-thanks And by Brilliant: https://brilliant.org/3b1b Timestamps: 0:00 - Featured guests 4:30 - Why it's "impossible" 12:20 - Surfaces with holes 16:27 - Your challenge 17:35 - Sponsorship and end Thanks to all the following channels for participating. Standup Maths https://www.youtube.com/user/standupmaths Wendover Productions https://www.youtube.com/user/Wendoverproductions Welch Labs: https://www.youtube.com/user/Taylorns34 MinutePhysics: https://www.youtube.com/user/minutephysics Ben Eater: https://www.youtube.com/user/eaterbc Mathologer: https://www.youtube.com/channel/UC1_uAIS3r8Vu6JjXWvastJg Singing Banana: https://www.youtube.com/user/singingbanana Numberphile: https://www.youtube.com/user/numberphile Looking Glass Universe: https://www.youtube.com/user/LookingGlassUniverse Veritasium: https://www.youtube.com/user/1veritasium Steve Mould: https://www.youtube.com/user/steventhebrave Special thanks to MathsGear for providing the mugs. https://mathsgear.co.uk/ https://mathsgear.co.uk/products/gift-card Music: Vincent Rubinetti: https://soundcloud.com/vincerubinetti/ Divertissement by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/) Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100256 Artist: http://incompetech.com/ Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ------------------ 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, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown