Triangles, Fractales and Spaghetti
History and Overview
2022-09-30 v1 Probability
Abstract
There is well-known problem of geometric probability which can be quote as the Broken Spaghetti Problem. It addresses the following question: A stick of spaghetti breaks into three parts and all points of the stick have the same probability to be a breaking point. What is the probability that the three sticks, putting together, form a triangle? In these notes, we describe a hidden geometric pattern behind the symmetric version of this problem, namely a fractal that parametrizes the sample space of this problem. Using that fractal, we address the question about the probability to obtain a -equilateral triangle.
Keywords
Cite
@article{arxiv.2209.14980,
title = {Triangles, Fractales and Spaghetti},
author = {ElHadji Abdou Aziz Diop and Masseye Gaye and Abdoul Karim Sane},
journal= {arXiv preprint arXiv:2209.14980},
year = {2022}
}