Circular String Art Exploration: Dynamic Chord Patterns via Sequences and Inters

① This example demonstrates how to generate a string-art pattern by connecting equally spaced points on a circle, revealing the envelope of chords that forms intricate curves. ② Core mathematical concepts include circle geometry, sequence generation, intersection of lines, and parametric control of pattern morphology, linking functions, sequences, and differential equations intuitively. ③ Construction highlights: using GeoGebra commands Intersect to compute chord intersections, Sequence to create point lists, and Length to manage counts; objects include circle a, point A, sequences l1/l2/l3/l4, segments b/c, line line1, sliders n/m/r, and buttons button1-4 for interactive adjustment of density and rotation. ④ Suitable for high school to early college students, this serves as an engaging math lab for exploring geometric-algebraic aesthetics and introductory computational geometry.