Take a look at the full playlist (really): https://www.youtube.com/watch?v=fJWnA4j0_ho&list=PLnQX-jgAF5pTkwtUuVpqS5tuWmJ-6ZM-Z
Blog post with more details: https://3b1b.co/some1-results
Thanks, as always, to the supporters of this channel for helping to make this whole project possible: http://3b1b.co/thanks
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Videos and posts mentioned here.
That weird light at the bottom of a mug — ENVELOPES
https://youtu.be/fJWnA4j0_ho
Hiding Images in Plain Sight: The Physics Of Magic Windows
mattferraro.dev/posts/caustics-engineering
The Beauty of Bézier Curves
https://youtu.be/aVwxzDHniEw
What Is The Most Complicated Lock Pattern?
https://youtu.be/PKjbBQ0PBCQ
Pick's theorem: The wrong, amazing proof
https://youtu.be/uh-yRNqLpOg
Dirac's belt trick, Topology, and Spin ½ particles
https://youtu.be/ACZC_XEyg9U
Galois-Free Guarantee! | The Insolubility of the Quintic
https://youtu.be/BSHv9Elk1MU
The Two Envelope Problem - a Mystifying Probability Paradox
https://youtu.be/_NGPncypY68
The Math Behind Font Rasterization | How it Works
https://youtu.be/LaYPoMPRSlk
What is a Spinor?
https://in-theory.net/what-is-a-spinor/
Understanding e
https://velipeltola.com/understanding-e/
Ancient Multiplication Trick
https://youtu.be/CsMrHzp850M
对称多项式基本定理自我探究
https://www.bilibili.com/video/BV19f4y137mJ
Lehmer Factor Stencils
https://youtu.be/QzohwKT6TNA
What is the limit of a sequence of graphs?
https://youtu.be/7Gj9BH4IZ-4
Steiner's Porism: proving a cool animation
https://youtu.be/fKAyaP8IzlE
Wait, Probabilities can be Negative?!
https://youtu.be/std9EBbtOC0
This random graph fact will blow your mind
https://youtu.be/3QjZ31lj974
Why is pi here? Estimating π by Buffon's n̶e̶e̶d̶l̶e noodle!
https://youtu.be/e-RUyCs9B08
Introduction to Waves
https://airladon.github.io/ivid-wave/
Complex Functions
https://treena.org/lesson/complex-grapher
I spent an entire summer finding this spiral
https://youtu.be/n-e9C8g5x68
HACKENBUSH: a window to a new world of math
https://youtu.be/ZYj4NkeGPdM
The Tale of the Lights Puzzle
https://youtu.be/9aZsABF-Vj4
The BEST Way to Find a Random Point in a Circle
https://youtu.be/4y_nmpv-9lI
Secrets of the Fibonacci Tiles
https://youtu.be/Ct7oltmdJrM
The Tale of Three Triangles
https://youtu.be/5nuYD2M2AX8
How Karatsuba's algorithm gave us new ways to multiply
https://youtu.be/cCKOl5li6YM
Can you change a sum by rearranging its numbers? --- The Riemann Series Theorem
https://youtu.be/U0w0f0PDdPA
Neural manifolds - The Geometry of Behaviour
https://youtu.be/QHj9uVmwA_0
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These animations are largely made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/
You can find code for specific videos and projects here:
https://github.com/3b1b/videos/
Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
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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: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown