Polyline Construction and Stochastic Process Visualization

① This GeoGebra example demonstrates the construction of polylines (broken lines) using polygon, midpoint, rotation, and sequence commands, creating a dynamic pattern that can represent a stochastic process or random walk. ② Core mathematical concepts include stochastic processes, orthocenter, prisms, trigonometric functions, means, and power functions, all integrated into the polyline geometry. ③ Construction highlights: commands used are Polygon, Midpoint, PolyLine, Rotate, and Sequence; objects include A, B, poly1, f, g, h, i, C, D, H, G, I, J, F, E, d, c, l1, l2, l3, n; the sequence and rotation generate multiple polylines, producing complex geometric patterns. ④ Suitable for high school to university-level mathematics education, useful for exploring stochastic process visualization, geometric transformations, and function graphing, as well as for mathematical experiments or artistic geometric design.