Take a look at the full playlist (really):    • That weird light at the bottom of a m...  
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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Typo at 2:00, it should read "Burkard Polster"

Videos and posts mentioned in this video.

That weird light at the bottom of a mug — ENVELOPES
   • That weird light at the bottom of a m...  

Hiding Images in Plain Sight: The Physics Of Magic Windows
https://mattferraro.dev/posts/caustic...

The Beauty of Bézier Curves
   • The Beauty of Bézier Curves  

What Is The Most Complicated Lock Pattern?
   • What Is The Most Complicated Lock Pat...  

Pick's theorem: The wrong, amazing proof
   • Pick's theorem: The wrong, amazing proof  

Dirac's belt trick, Topology, and Spin ½ particles
   • Dirac's belt trick, Topology,  and Sp...  

Galois-Free Guarantee! | The Insolubility of the Quintic
   • Why There's 'No' Quintic Formula (pro...  

The Two Envelope Problem - a Mystifying Probability Paradox
   • The Two Envelope Problem - a Mystifyi...  

The Math Behind Font Rasterization | How it Works
   • The Math Behind Font Rasterization | ...  

What is a Spinor?
https://in-theory.net/what-is-a-spinor/

Understanding e
https://velipeltola.com/understanding-e/

Ancient Multiplication Trick
   • 4000 Years Old Multiplication Trick  

对称多项式基本定理自我探究
https://www.bilibili.com/video/BV19f4...

Lehmer Factor Stencils
   • Lehmer Factor Stencils: A paper facto...  

What is the limit of a sequence of graphs?
   • What is the limit of a sequence of gr...  

Steiner's Porism: proving a cool animation
   • Steiner's Porism: proving a cool anim...  

Wait, Probabilities can be Negative?!
   • Can Probabilities Be Negative? – What...  

This random graph fact will blow your mind
   • This random graph fact will blow your...  

Why is pi here? Estimating π by Buffon's n̶e̶e̶d̶l̶e noodle!
   • Estimate π with randomly thrown pasta...  

Introduction to Waves
https://airladon.github.io/ivid-wave/

Complex Functions
https://treena.org/lesson/complex-gra...

I spent an entire summer finding this spiral
   • I spent an entire summer to find thes...  

HACKENBUSH: a window to a new world of math
   • HACKENBUSH: a window to a new world o...  

The Tale of the Lights Puzzle
   • Anecdotes in Problem Solving--The Tal...  

The BEST Way to Find a Random Point in a Circle
   • The BEST Way to Find a Random Point i...  

Secrets of the Fibonacci Tiles
   • Secrets of the Fibonacci Tiles - 3B1B...  

The Tale of Three Triangles
   • The Tale of Three Triangles  

How Karatsuba's algorithm gave us new ways to multiply
   • How Karatsuba's algorithm gave us new...  

Can you change a sum by rearranging its numbers? --- The Riemann Series Theorem
   • Can you change a sum by rearranging i...  

Neural manifolds - The Geometry of Behaviour
   • Neural manifolds - The Geometry of Be...  

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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/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

Timestamps:
0:00 - Introduction
2:17 - Winners
7:24 - Honorable mentions


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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:   / 3blue1brown  
Reddit:   / 3blue1brown  
Instagram:   / 3blue1brown_animations  
Patreon:   / 3blue1brown  
Facebook:   / 3blue1brown