Finding pi in a needle-stack

Start with a floor with parallel lines that are equally spaced out and randomly throw some needles on to this floor. It seems like one divided by the probability (of a needle crossing a line) is approaching pi. This may seem like a coincidence, but it is a legitimate way to approximate pi using probability, called Buffon’s needle.


#buffon #needle #pi

Some of the math animations used in this video was created using Manim - https://www.manim.community/


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References:
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Buffon's Needle (University of Illinois Urbana-Champaign) - https://mste.illinois.edu/activity/bu...
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Buffon's needle problem (Wikipedia) - https://en.wikipedia.org/wiki/Buffon%...
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Buffon's Needle Problem (Wolfram MathWorld)- https://mathworld.wolfram.com/Buffons...
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Coding Challenge 176: Buffon's Needle (The Coding Train - Youtube) -    • Coding Challenge 176: Buffon's Needle  
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Pi and Buffon's Matches (Numberphile - Youtube) -    • Pi and Buffon's Matches - Numberphile  
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Surprising π from probability! Buffon's needle problem (MindYourDecisions - Youtube) -    • Surprising π from probability! Buffon's ne...  
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Music used in this video:
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"Arthur Vyncke - A few jumps away" is under a Creative Commons (CC BY-SA 3.0) license.
  / arthurvost  
Music promoted by BreakingCopyright: https://bit.ly/a-few-jumps-song
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Daystar - Zero Gravity
샛별 - 무중력
Free to use music by    / @starryattic  
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