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This open problem taught me what topology is 28 min 
The Napoleonic Wars - OverSimplified (Part 2) 32 min 
The Prisoner of Bogan 32 min 
What Bothers Physicists About Black Holes (Interview with Brian Cox) 74 min 
Inside the Secret Country Erased from Maps (what are they hiding?) 29 min 
What's the Use 3 min 
How I Made My 2025 Secret Santa's year THE BEST 16 min 
I Investigated India’s Biggest Smartphone Controversy 42 min 
I hit rock bottom 17 min 
Wallace 6 min 
FARR 3 min 
The mist that keeps the Tyne Tunnels safe 22 min 
Your Next Budget PC Upgrade is...Custom Watercooling?? 25 min 
How NASA Discovered a Military Base under Greenland 22 min 
How Did Tuberculosis Get So Bad? #science #scishow #tuberculosis #health 1 min 
Vegetarian Diets Are... Hot #shorts #science #SciShow 1 min 
Genius Suspension 1 min 
Hasan Piker on what Democrats get wrong | America, Actually 34 min 
How Nike Lost Its Way 19 min 
The truth behind the millennial "midlife crisis" | The Gray Area 52 min 
The Best TINY Tech on the Internet! 20 min 
The deadly drug everyone is taking 10 min 
Would you take the road less traveled? #shorts 1 min 
Are we all just players in the game of life? #shorts 1 min 
Behind-the-scenes look at illustrator Senne Trip creating the art of Pandora’s Legacy 1 min 
Why Texas Wins 20 min 
How We Built The ISS 37 min 
Do you ever feel isolated amongst your peers? #shorts 1 min 
Scientists Finally Figured Out Why This River Flows Uphill 12 min 
How Scientists Build Consensus: Crash Course Scientific Thinking #5 11 min 
How did ocean invertebrates end up on Mt. Everest?! 1 min 
Why Are There No Short Arch Dams? 17 min 
How do you reconstruct an old story? 1 min 
Why This Robot Kills Weeds With Lasers 15 min 
The $1 Trillion Problem Diamonds Can Solve 17 min 
Digging A SECRET GARAGE Part 4 Digging Done! 26 min 
New Alien Host Planet Just Dropped 1 min 
California’s Tallest Bridge Has Nothing Underneath 18 min 
How Big Pork takes money from small farmers — then uses it to lobby against them 2 min 
Why even the best aquariums can’t give animals what they need 2 min 
HEATWAVE SOLVED 2 min 
Buying a 1 euro House in Italy - is it a scam? 42 min 
Why This Olympic Sport Bothers Physicists 17 min 
Scientists Are Turning Your Organs Young Again 1 min 
Editing Your DNA, with Nobel Prize Winner Dr. Jennifer Doudna 54 min 
How Taiwan is Preparing to Get Invaded 17 min 
Why American Airlines Stopped Making Money 22 min 
California's Water Problem 20 min 
Why isn't Congress doing more to protect America's food safety? 2 min 
These Plants Have Digital Twins #science #scishow #plant #xray 1 min 
Why some of America’s wild horses are being slaughtered 2 min The inscribed square/rectangle problem, solved using Möbius strips and Klein bottles. Playlist with more neat proofs: https://www.youtube.com/playlist?list=PLZHQObOWTQDPSKntUcMArGheySM4gL7wS Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. This argument was originally by Herbert Vaughan, appearing for examples in this issue of the Topology Proceedings. https://topology.nipissingu.ca/tp/reprints/v06/tp06107.pdf The on-screen argument for why all closed non-orientable surfaces must intersect themselves in 3d is a slight variation on one I heard from Dan Asimov. 2020 Paper by Greene and Lobb: https://arxiv.org/pdf/2005.09193 Nice Quanta article about this result: https://www.quantamagazine.org/new-geometric-perspective-cracks-old-problem-about-rectangles-20200625/ Timestamps: 0:00 - Inscribed squares 1:00 - Preface to the second edition 3:04 - The main surface 10:47 - The secret surface 16:45 - Klein bottles 22:38 - Why are squares harder? 25:10 - What is topology? ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com
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