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arXiv · 2412.20614

Buffon's Triangle -- A Variant of the Buffon Needle Method for a Probabilistic Determination of the Value of Pi

Devlin Gualtieri
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Abstract

I present a variant of the Buffon Needle method for determination of the value of the mathematical constant, pi. The original method is based on the random casting of a needle of length l onto a planked floor of plank width L. The described variant involves the random casting of an equilateral triangle with side length l onto a tiled floor consisting of square tiles of side width L. Source code for the computer simulation of this method is provided.

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Devlin Gualtieri. 2024-12-29. Buffon's Triangle -- A Variant of the Buffon Needle Method for a Probabilistic Determination of the Value of Pi. https://arxiv.org/abs/2412.20614

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