What is the history of calculating Pi with random objects?

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The discussion revolves around a creative method for calculating Pi by throwing frozen hot dogs, inspired by a mathematical concept known as Buffon's Needle. Participants express skepticism about the accuracy of this method but find it entertaining and suggest it could be a fun YouTube video idea. The conversation highlights the connection between this experiment and the mathematical principles behind it, specifically how the number of times the thrown object crosses lines on a ruled sheet can simulate the properties of a circle. The idea is that as the number of throws increases, the approximation of Pi improves, as the length of the object relates to its diameter and the crossing lines represent random angles. The discussion also references Griffith's Quantum Mechanics text, indicating a familiarity with mathematical problems involving random distributions.
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Dang! Our kitchen is too small to try it.
And I'm not going outside in this weather.
 
Is this an idea for a YouTube video? :biggrin:

The process of throwing toothpicks across a ruled sheet of paper sounded familiar... that was from a problem in Griffith's QM text.
 
What is the nutshell logic behind this study? Where in the experiment is PI manifesting itself?

My suspicion is that the object is not perfectly circular but mutliple thrwos makes it simulate an n-sided polygon - the more throws, the larger n is, the closer to PI it will be.

[ EDIT ] Duh. No. The length of the obect is equal to diameter, the number of times it crosses the line represents a random angle 0-360 degrees. [ /EDIT ]
 
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