Triangles-Squares Animation

① This example demonstrates a dynamic animation showing the transformation between triangles and squares, illustrating how geometric shapes evolve continuously. ② Core mathematical concepts include geometric transformations (dilation, translation), random variables and correlation, fractal geometry, and confidence intervals, highlighting the intersection of geometry and statistics. ③ Construction uses GeoGebra commands such as Sequence, Flatten, Polygon, and Element to create multiple triangle and square objects, with a slider (Speed) controlling animation speed and a button (button1) triggering the animation. Objects include points (P1, P2, P3), polygons (A1 to A12), and auxiliary points (Ps, Ps2, Ts, Vx). ④ Suitable for high school to early college students, useful for exploring geometric transformations, fractal patterns, and visualization of random processes, and can serve as a math lab activity or teaching demo.