The most unexpected answer to a counting puzzle
Solution: https://youtu.be/jsYwFizhncE
Even prettier solution: https://youtu.be/brU5yLm9DZM
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An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/clacks-thanks
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NY Times blog post about this problem:
https://wordplay.blogs.nytimes.com/2014/03/10/pi/
The original paper by Gregory Galperin:
https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf
Evidently, Numberphile also described this problem (I had not known):
You'll notice that video has an added factor of 16 throughout, which is not here. That's because they're only counting the collisions between blocks (well, balls in their case), and they're only counting to the point where the big block starts moving the other way.
Thanks to these viewers for their contributions to translations
Bengali: Prayas Sanyal
Hebrew: Omer Tuchfeld
Italian: @Deye27, @hi-anji
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These animations are largely made using manim, a scrappy open source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
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.
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