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


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

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

Ancient Multiplication Trick


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

Complex Functions

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


These animations are largely made using a custom python library, manim. See the FAQ comments here:

You can find code for specific videos and projects here:

Music by Vincent Rubinetti.

Download the music on Bandcamp:

Stream the music on Spotify:

0:00 – Introduction
2:17 – Winners
7:24 – Honorable mentions


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
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