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15 Jun 2019 03:30:07 UTC
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How colliding blocks act like a beam of light...to compute pi.
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:
https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf
...
https://www.youtube.com/watch?v=brU5yLm9DZM
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:
https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf
...
https://www.youtube.com/watch?v=brU5yLm9DZM
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These animations are largely made using a custom python library, manim. See the FAQ comments here:
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