This simulation is based on an experiment called [url=https://archive.org/stream/geometricalproba033077mbp#page/n73/mode/2up/search/buffon]Buffon’s needle[/url], one of the oldest problems in the field of geometrical probability, according to [url=https://www.mathematica-journal.com/2009/01/12/throwing-buffons-needle-with-mathematica/][i]The Mathematica Journal[/i][/url]. In the 18th century, French philosopher Georges-Louis Leclerc, Comte de Buffon determined that you can approximate [math]\pi[/math] by dropping needles on a grid of parallel lines (whose spacing is greater than the length of a needle) and calculating the probability that they will cross a line. The probability is directly related to [math]\pi[/math]. [br][br]Ultimately, you can calculate [math]\pi[/math] using this formula: [math]\frac{2\times\text{Sticks tossed}}{\text{Sticks crossing a line}}[/math]

Based on: [url=https://www.geogebra.org/m/zqwhWcfS]Buffon's needle simulation[/url] by [url=https://www.geogebra.org/u/tvh]tvh[/url].