Construct a Fractal Tree via Recursive Branching

This example demonstrates how to generate a fractal tree by repeatedly transforming line segments and creating branching structure step by step. It highlights the recursive idea behind fractal geometry, the use of geometric similarity (scaling/dilation), and the broader context of functions and limits when branch rules depend on parameters. Construction-wise, the GeoGebra workflow uses Segment to create the initial segment, Point to mark essential endpoints for each branch, and Dilate to scale segments (and their endpoints) to produce the next level of growth. Key intermediate objects such as Setup and functions/points (e.g., f, A, B, C, D) organize the geometry, while ListOutPut collects the generated results across iterations. Suitable for secondary school and above, especially for lessons on transformation geometry, recursive construction, and interactive graphing.