Summer of Math Exposition #4 | Teachers, I’d love to hear from you

From 3Blue1Brown. Make a math explainer, get feedback, and receive prizes: https://some.3b1b.co Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. —————— These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim…

There’s more to those colliding blocks that compute pi

From 3Blue1Brown. Two colliding blocks compute pi, here we dig into the physics to explain why Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. The original paper by Gregory Galperin: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf Adam Brown’s paper on the analogy with…

The cosmic distance ladder with Terence Tao, part 2

From 3Blue1Brown. How we know the distances to the planets, stars, and faraway galaxies. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support FAQ with added details and corrections: https://terrytao.wordpress.com/2025/02/13/cosmic-distance-ladder-video-with-grant-sanderson-3blue1brown-commentary-and-corrections/ An equally valuable form of support is to simply share the videos. Terry and his collaborator Tanya have an Instagram about…

This open problem taught me what topology is

From 3Blue1Brown. The inscribed square/rectangle problem, solved using Möbius strips and Klein bottles. Playlist with more neat proofs: https://www.youtube.com/playlist?list=PLZHQObOWTQDPSKntUcMArGheySM4gL7wS Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. This argument was originally by Herbert Vaughan, appearing for examples in…

Large Language Models explained briefly

From 3Blue1Brown. Dig deeper here: https://www.youtube.com/playlist?list=PLZHQObOWTQDNU6R1_67000Dx_ZCJB-3pi Technical details as a talk: https://youtu.be/KJtZARuO3JY This was made for an exhibit at the Computer History Museum: https://computerhistory.org/ Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support No secret end-screen vlog for this one, the end-screen real estate was all full! —————— These animations are…