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Why colliding blocks compute pi
3Blue1Brown
3Blue1Brown 7.8TR theo dõi 223 Videos 690.91TR lượt xem 2025-03-13 Được phátDữ liệu cập nhật ngày 2025-10-26
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Mathematics three blue one brown 3 blue 1 brown 3b1b 3brown1blue 3 brown 1 blue three brown one blue
Giới thiệu
The physics behind one of the most surprising occurrences of pi
Next video on Grover's Algorithm: https://youtu.be/RQWpF2Gb-gU
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.

Next video on Grover's Algorithm:
https://youtu.be/RQWpF2Gb-gU

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 Grover's Algorithm:
https://arxiv.org/pdf/1912.02207

Here's a lovely interactive built by GitHub user prajwalsouza after watching this video: https://prajwalsouza.github.io/Experiments/Colliding-Blocks.html

Matt Parker's Pi Day video:
https://youtu.be/vlUTlbZT4ig

NY Times blog post about this problem:
https://wordplay.blogs.nytimes.com/2014/03/10/pi/

Timestamps:
0:00 - Intro
0:48 - Recap, the surprise pi
3:58 - How to analyze the blocks
13:30 - The geometry puzzle
18:35 - Small angle approximations
23:30 - The value of pure puzzles

SEV#7: https://youtu.be/RTCQYcOpmN4

The original version of this explanation (now unlisted): https://youtu.be/jsYwFizhncE

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These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/

All code for specific videos is visible here:
https://github.com/3b1b/videos/

The music is by Vincent Rubinetti.
https://www.vincentrubinetti.com
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.

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