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次に再生
How (and why) to take a logarithm of an image 45 分 
Have I built the most amazing door Ever? 28 分 
Can a magnet DESTROY your smartphone? 1 分 
Digging A SECRET GARAGE Part 3 21 分 
World's First Touchscreen MacBook 1 分 
I Tested NASA's New Space Suit (Ft. Axiom Space) 26 分 
The Los Angeles Aqueduct is Wild 23 分 
REQUIEM 4 分 
Inside the Secret Country Erased from Maps (what are they hiding?) 29 分 
Android 17 Is the Biggest Upgrade in Years 18 分 
1950's ATV Concept Build Part 2 18 分 
Jakey - Pine Barrens (Official Music Video) 5 分 
Is There A Shortcut To Treating Tuberculosis? #science #scishow #tuberculosis #health 1 分 
Why the US is Struggling to Land on the Moon 20 分 
The Insane Engineering of the F-14 Tomcat 30 分 
Antigravity A1: A New Take on Drones! 11 分 
Kidneys for sale | The Gray Area 48 分 
The V-22 Osprey and why it keeps crashing 25 分 
Psychedelics, mind control, radiation-eating: The secret superpowers of fungi - Max G. Levy 7 分 
Why your best ideas usually start as bad ones | Think Like A Musician 5 分 
The mist that keeps the Tyne Tunnels safe 22 分 
What The Heck Is Tuberculosis? #science #scishow #medicine #johngreen 1 分 
They’re cooking our brains, for real! #science #pollution 2 分 
What's Under Your Feet in New York City? 23 分 
The Insane Engineering of the P-38 Lightning 27 分 
Why American Houses Are So Flimsy 15 分 
New Zealand's Australia Problem 18 分 
This single-celled organism is HUGE. #shorts #science #SciShow 1 分 
The NFL's Concussion Crisis 22 分 
LSD May Lead to a New Kind of Medicine 25 分 
What your nipple size says about you 2 分 
The Cartels Running Up Transatlantic Airfares 22 分 
Abandoned in Germany with $0 for 24 Hours (Man vs. Woman) 46 分 
Why This Olympic Sport Bothers Physicists 17 分 
Do Retention Ponds Actually Work? 18 分 
How do you reconstruct an old story? 1 分 
Why we can’t stop thinking about aliens | The Gray Area 48 分 
Gen Z is done with both political parties | America, Actually 35 分 
The Hidden Engineering Behind the Falkirk Wheel 16 分 
The New Hunt for the Colossal Squid 19 分 
80yrs since THE GREAT ESCAPE so Tunnelled OUT the Garden!! 12 分 
Astronauts Are Seeing Weird Things In Space 1 分 
Name That Infrastructure (Ep. 4) #shorts 1 分 
The Wild Story of the Teton Dam Failure 20 分 
Why is this piece of America still owned by France? 23 分 
Actually Stranded on a Deserted Island for 42 Hours (real emergency) 37 分 
The Craziest Experiment Humans Have Ever Built 18 分 
Why you can’t walk anywhere in the US 2 分 
Nonalcoholic drinks SHOULD cost more. Here's why. 10 分 
How Red Bull Built Its Empire 17 分 
How Deep is the DEEPEST Submarine? 1 分 How (and why) to take a logarithm of an image
2026 45 分
Escher's Print Gallery, and the tour of complex analysis it invites. Explore our virtual career fair: https://3b1b.co/talent Join channel supporters to see videos early: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Original paper by de Smit and Lenstra: https://pub.math.leidenuniv.nl/~smitbde/papers/2003-de_smit-lenstra-escher.pdf The book I was showing is "Magic of MC Escher" by J. L. Locher https://amzn.to/4d7zXTT If you want to play with this concept interactively, Jürgen Richter-Gebert put together a nice page: https://mathvisuals.org/PrintGallery/ This piece was co-written by Paul Dancstep, who handled many of the animations in the art section, including the delightful mesh warp scene. Aaron Gostein helped with the manim animations in the section introducing complex functions. Artwork provided by Talia Gershon, Mitchell Zemil, and Anna Fedczuk. https://sites.google.com/view/taliagershon https://mitchellzemil.com/ https://anna-fedczuk.framer.website/about Music by Vincent Rubinetti Timestamps: 0:00 - The print gallery 13:04 - Conformal maps from complex analysis 21:41 - The complex exponential 25:56 - The complex logarithm 32:32 - 3b1b Talent 33:14 - Constructing the key function 40:16 - The deeper math behind Escher Correction: at 18:10, the function graph does not match the function definition that appears in the top right corner: f(x) = x^3 + 3x^2 - x - 4. Instead of -4, there should be -3: f(x) = x^3 + 3x^2 - x - 3. ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim ------------------ 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 Bluesky: https://bsky.app/profile/3blue1brown.com 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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