Buffon's Triangle -- A Variant of the Buffon Needle Method for a Probabilistic Determination of the Value of Pi
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910766408400896 |
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| author | Gualtieri, Devlin |
| author_facet | Gualtieri, Devlin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20614 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Buffon's Triangle -- A Variant of the Buffon Needle Method for a Probabilistic Determination of the Value of Pi Gualtieri, Devlin History and Overview Probability 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. |
| title | Buffon's Triangle -- A Variant of the Buffon Needle Method for a Probabilistic Determination of the Value of Pi |
| topic | History and Overview Probability |
| url | https://arxiv.org/abs/2412.20614 |