video thumbnail 12:40
A few of the best math explainers from this summer

2021-10-23

[public] 71.4K views, 37.0K likes, 26.0 dislikes audio only

channel thumb3Blue1Brown

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 in this video.

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

https://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

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


Introduction
/youtube/video/F3Qixy-r_rQ?t=0
Winners
/youtube/video/F3Qixy-r_rQ?t=137
Honorable mentions
/youtube/video/F3Qixy-r_rQ?t=444
Summer of Math Exposition Youtube Videos by Paralogical
youtube.com/watch?v=fJWnA4j0_ho