Pythagoras Tree Geometry Tool

This example demonstrates how to generate a Pythagoras tree fractal by iteratively applying geometric constructions and transformations, producing an evolving pattern of right triangles. It highlights core ideas related to the Pythagorean theorem mindset, right-triangle configuration, fractal iteration, and geometry transformations such as rotation. Construction workflow in GeoGebra: Polygon is used to build the initial polygon/triangle, Midpoint computes key segment midpoints, Semicircle draws semicircular arcs as auxiliary geometry, Point places defining vertices, and Rotate performs rotational transformations to create the next generations of branches. Named points (e.g., A, B, C, D, E) and parameters like the angle α are used to control the construction. Suitable for middle and high school learners and for math classes focused on geometric construction, iterative processes, and fractals.