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Título del libro: Handbook Of The Mathematics Of The Arts And Sciences
Título del capítulo: A Visual Overview of Coprime Numbers

Autores UNAM:
PEDRO EDUARDO MIRAMONTES VIDAL;
Autores externos:

Idioma:

Año de publicación:
2021
Palabras clave:

Bézout coefficients; Coprime numbers; Quadratic arc; Skew Sturmian sequence


Resumen:

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. © Springer Nature Switzerland AG 2021.


Entidades citadas de la UNAM: