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arXiv · 2209.14980

Triangles, Fractales and Spaghetti

ElHadji Abdou Aziz Diop·Masseye Gaye·Abdoul Karim Sane
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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 $\delta$-equilateral triangle.

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ElHadji Abdou Aziz Diop, Masseye Gaye, Abdoul Karim Sane. 2022-09-29. Triangles, Fractales and Spaghetti. https://arxiv.org/abs/2209.14980

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