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A Visual Overview of Coprime Numbers

In: Handbook of the Mathematics of the Arts and Sciences

Author

Listed:
  • Benjamín A. Itzá-Ortiz

    (Universidad Autónoma del Estado de Hidalgo)

  • Roberto López-Hernández

    (Universidad Autónoma del Estado de Hidalgo)

  • Pedro Miramontes

    (Universidad Nacional Autónoma de México)

Abstract

Some examples of geometric constructions based on prime numbers are presented. After that, a novel visualization of coprime numbers in the Cartesian plane based on Bézout coefficients is introduced. Using the classification of skew Sturmian sequences as a departing point, it becomes natural to select certain subsets of coprime numbers which contain the dynamical information of skew Sturmian sequences up to conjugacy. When plotting these sets, astonishing geometric structures emerge. Among them are some parabolic arcs; their parametric representations are given.

Suggested Citation

  • Benjamín A. Itzá-Ortiz & Roberto López-Hernández & Pedro Miramontes, 2021. "A Visual Overview of Coprime Numbers," Springer Books, in: Bharath Sriraman (ed.), Handbook of the Mathematics of the Arts and Sciences, chapter 7, pages 149-167, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-57072-3_139
    DOI: 10.1007/978-3-319-57072-3_139
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