How to lie using visual proofs

Three false proofs, and what lessons they teach. New notebooks: https://store.dftba.com/collections/3blue1brown/products/mathematical-quotebook-notebook Help fund future projects: https://www.patreon.com/3blue1brown​ An equally valuable form of support is to simply share the videos. Here's a nice short video on the false pi = 4 proof https://www.youtube.com/watch?v=6Qnfd5dRyf4...

Jul 2022

We want more online math exposition (SoME2)

Announcing the second iteration of the Summer of Math Exposition Mailing-list: https://summerofmathexposition.substack.com/p/the-summer-of-math-exposition-is?s=r Find collaborators here: https://github.com/leios/SoME_Topics/ Join the discord: https://discord.gg/dsp3zgB4qQ Submission form: https://forms.gle/sNqosxqwCW2EjPVu5 Last year’s results:...

Jun 2022

The unreasonable effectiveness of complex numbers in discrete math

A beautiful and out-of-left-field solution to a difficult counting problem Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share the videos. Artwork by Kurt Burns Music by Vince Rubinetti 102 Combinatorial problems, by Titu Andreescu and Zuming Feng https://amzn.to/3wAPoNq Generatingfunctionology...

May 2022

Oh, wait, actually the best Wordle opener is not “crane”…

A slight correction to the previous video, with some more details about how the best first word was chosen. Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share the videos. Contents: 0:00 - The Bug 3:31 -...

Feb 2022

The mathematically optimal Wordle strategy

An excuse to teach a lesson on information theory and entropy. Help fund future projects: https://www.patreon.com/3blue1brown​ Special thanks to these supporters: https://3b1b.co/thanks An equally valuable form of support is to simply share the videos. Note, the way I wrote the rules for coloring while doing this project differs slightly from...

Feb 2022

Alice, Bob, and the average shadow of a cube

A tale of two problem solvers. Numberphile video on Bertrand's paradox: https://youtu.be/mZBwsm6B280 Help fund future projects: https://www.patreon.com/3blue1brown​ Special thanks to these supporters: https://3b1b.co/lessons/newtons-fractal#thanks An equally valuable form of support is to simply share the videos. Curious why a sphere's surface...

Dec 2021

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,...

Oct 2021

Where Newton meets Mandelbrot (or more fancifully, “holomorphic dynamics”)

How the right question about Newton's method results in a Mandelbrot set. Video on Newton's fractal: https://youtu.be/T_S2j5GaLRQ Special thanks to these supporters: https://3b1b.co/lessons/holomorphic-dynamics#thanks Extra special thanks to Sergey Shemyakov, of Aix-Marseille University, for helpful conversations and for introducing me to this...

Oct 2021

Newton's Fractal (which Newton knew nothing about)

Who knew root-finding could be so complicated? Early view of the next part: https://www.patreon.com/posts/57323044 An equally valuable form of support is to simply share the videos. Special thanks to the following supports: https://3b1b.co/lessons/newtons-fractal#thanks ------------------ Interactive for this video: https://www.3blue1brown.com/lessons/newtons-fractal...

Oct 2021

Why aren't you making math videos? (Also, a 3b1b podcast)

Learn more and submit: https://3b1b.co/SoME1 Podcast/New channel: https://www.youtube.com/GrantSanderson ↓↓Things referenced through the video↓↓ Join the discord channel: https://discord.gg/2NccfSn7 James Schloss: https://www.youtube.com/user/LeiosOS Free will theorem: https://www.ams.org/notices/200902/rtx090200226p.pdf Kolmogorov...

Jul 2021