Shared February 3, 2019
The third and final part of the block collision sequence.
Part 1: https://youtu.be/HEfHFsfGXjs
Part 2: https://youtu.be/jsYwFizhncE
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/clacks-thanks
Error correction: I wrote the answer as floor(pi/theta), when really it should be ceiling(pi/theta) - 1 t account for values of theta perfectly dividing pi. For example, the case of equal masses gives an angle of pi/4, and 3 total clacks.
This beautiful result, and the solution shown here, are due to Gregory Galperin:
And here's a lovely interactive built by GitHub user prajwalsouza after watching this video: https://prajwalsouza.github.io/Experi...
Speaking of looking glass universes...
NY Times blog post about this problem:
The plushie pi shown at the video's start:
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
Stream the music on Spotify:
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:
Hilbert's Curve: Is infinite math useful?
P vs. NP and the Computational Complexity Zoo
Why You Can Never Reach the Speed of Light: A Visualization of Special Relativity
Who cares about topology? (Inscribed rectangle problem)
Quantum Mechanics: Animation explaining quantum physics
5 Theories About The Universe That Will Blow Your Mind
A Brief History of Pi
1. Introduction to Human Behavioral Biology
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
But how does bitcoin actually work?
The case for re-writing history! New evidence, an introduction to UnchartedX
The Wallis product for pi, proved geometrically
Coding Challenge #139: Calculating Digits of Pi with Collisions
Solving 2D equations using color, a story of winding numbers and composition
The Brachistochrone, with Steven Strogatz
What does it feel like to invent math?
Feynman's Lost Lecture (ft. 3Blue1Brown)
All possible pythagorean triples, visualized
This equation will change how you see the world