La Baguette Math\'emagique
Julyan H. E. Cartwright

TL;DR
This paper explores a novel extension of Buffon's needle experiment, demonstrating how it can be used to estimate both π and e simultaneously, offering a new perspective on classical probability methods.
Contribution
It introduces a method to estimate both π and e using the same Buffon's needle experiment, which has not been previously discussed in this way.
Findings
Both π and e can be estimated from a single Buffon's needle experiment.
The method provides a new probabilistic approach to fundamental constants.
The approach extends classical geometric probability techniques.
Abstract
If you throw a needle or stick at random onto a floor ruled with parallel lines, such as the cracks between floorboards or tiles, from the proportion of times that the stick lands crossing a crack you can estimate ; can we get as well? Yes, we can. All of these aspects have been discussed before, but I haven't seen them discussed in this way: that one can estimate both and with the same Buffon's needle experiment.
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Taxonomy
TopicsInsect and Arachnid Ecology and Behavior
