Triangles, Fractals and Spaghetti

  •  ElHadji Abdou Aziz Diop    
  •  Masseye Gaye    
  •  Abdoul Karim Sane    


The well-known Broken Spaghetti Problem is a geometric problem which can be stated as: 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 this note, 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 δ-equilateral triangle.

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