Several examples of geometric constructions based on prime numbers are presented. A novel visualization of coprime numbers in the Cartesian plane, derived from Bézout coefficients, is then introduced. Taking the classification of skew Sturmian sequences as a starting point, it becomes natural to select certain subsets of coprime numbers that encode the dynamical information of skew Sturmian sequences up to conjugacy. When these subsets are plotted, striking geometric structures emerge, including parabolic arcs for which explicit parametric representations are provided. Furthermore, it is shown that Bézout coefficients can be used to approximate quadratic Bézier curves. This work is a revised and expanded version of a chapter that appeared in the first edition of this handbook.