But what is a convolution?

Discrete convolutions, from probability, to image processing and FFTs. Help fund future projects: https://www.patreon.com/3blue1brown​ Special thanks to these supporters: https://3b1b.co/lessons/convolutions#thanks An equally valuable form of support is to simply share the videos. ------------------ Other videos I referenced Live lecture...

Nov 2022

Researchers thought this was a bug (Borwein integrals)

A curious pattern of integrals that all equal pi...until they don't. Help fund future projects: https://www.patreon.com/3blue1brown​ Special thanks to these patrons: https://3b1b.co/lessons/borwein#thanks An equally valuable form of support is to simply share the videos. ------------------ Original paper from David and Jonathan Borwein https://carma.edu.au/resources/db90/pdfs/db90-119.00.pdf...

Nov 2022

Have you seen more math videos in your feed recently? (SoME2 results)

Winners and honorable mentions for the SoME2 contest Playlist of all entries: https://www.youtube.com/playlist?list=PLnQX-jgAF5pTZXPiD8ciEARRylD9brJXU Help fund future projects: https://www.patreon.com/3blue1brown​ Post with links to all entries: https://www.3blue1brown.com/blog/some2 **Winners** Clear Crystal Conundrums, A Multifaceted...

Oct 2022

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