A few of the best math explainers from this summer

A few of the best math explainers from this summer

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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Typo at 2:00, it should read "Burkard Polster"

Videos and posts mentioned here.

That weird light at the bottom of a mug — ENVELOPES

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

The Beauty of Bézier Curves

What Is The Most Complicated Lock Pattern?

Pick’s theorem: The wrong, amazing proof

Dirac’s belt trick, Topology, and Spin ½ particles

Galois-Free Guarantee! | The Insolubility of the Quintic

The Two Envelope Problem – a Mystifying Probability Paradox

The Math Behind Font Rasterization | How it Works

What is a Spinor?

What is a Spinor?

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

Ancient Multiplication Trick

对称多项式基本定理自我探究
https://www.bilibili.com/video/BV19f4y137mJ

Lehmer Factor Stencils

What is the limit of a sequence of graphs?

Steiner’s Porism: proving a cool animation

Wait, Probabilities can be Negative?!

This random graph fact will blow your mind

Why is pi here? Estimating π by Buffon’s n̶e̶e̶d̶l̶e noodle!

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

HACKENBUSH: a window to a new world of math

The Tale of the Lights Puzzle

The BEST Way to Find a Random Point in a Circle

Secrets of the Fibonacci Tiles

The Tale of Three Triangles

How Karatsuba’s algorithm gave us new ways to multiply

Can you change a sum by rearranging its numbers? — The Riemann Series Theorem

Neural manifolds – The Geometry of Behaviour

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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:

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: 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

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