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.
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Itzá-Ortiz, B.A., López-Hernández, R., Miramontes, P. (2020). A Visual Overview of Coprime Numbers. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-70658-0_139-1
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DOI: https://doi.org/10.1007/978-3-319-70658-0_139-1
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