PythagorasTree 3.2

The Pythagoras Tree serves as a compelling intersection of mathematics and artistic expression. The construction begins with a central square trunk, upon which a right triangle is inscribed so that its hypotenuse rests atop the square. Subsequently, two additional squares are constructed on the legs of the triangle, and this recursive process continues until the resulting squares become too minuscule to render effectively. The interface allows for the adjustment of the triangle’s angles and the tree’s color scheme, providing an interactive exploration of geometric principles. Additionally, users can manipulate the growth and shrinkage of the tree to observe each iterative step, facilitating a deeper understanding of fractal patterns and recursive geometry.