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Triangles, Fractals and Spaghetti

Author

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

Abstract

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.

Suggested Citation

  • ElHadji Abdou Aziz Diop & Masseye Gaye & Abdoul Karim Sane, 2024. "Triangles, Fractals and Spaghetti," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(6), pages 1-23, December.
    • Handle: RePEc:ibn:jmrjnl:v:14:y:2024:i:6:p:23
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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