Curve Stitching, Point Map: Modular and GCD-Driven Geometric Patterns

① This example demonstrates how to generate a curve stitching (string art) pattern by mapping points on a plane using modular arithmetic and greatest common divisor operations, visualizing the interplay between number theory and geometry. ② Core mathematical concepts include modular arithmetic (Mod), greatest common divisor (GCD), sequence generation (Sequence), and coordinate mapping of points, bridging discrete mathematics and coordinate geometry. ③ Construction highlights: The GeoGebra commands Sequence, Mod, and GCD are used to define point positions or connection rules, creating numerous point objects (A1–A23, B1–B10) that form the stitching-like pattern. ④ Suitable for high school or early college students, this example serves as an engaging introduction to number-theoretic patterns in visual form, and can be used in math-art projects or computational thinking exercises.