Recursive Raindrop Fractal

This project is a recursive raindrop fractal designed in OpenSCAD. It was inspired by the ideas of Iterated Function Systems (IFS) that we studied in class. In my design, a simple 2D raindrop shape serves as the base. The fractal is formed by repeatedly shrinking and translating copies of this base shape, similar to how we studied the hexagon fractal and the Barnsley fern. I chose a raindrop because it is a natural, smooth shape that looks visually striking when layered with recursion. The mathematics behind this project uses contraction mappings, which always guarantee convergence to a fixed fractal attractor (Banach Fixed-Point Theorem). Each new raindrop is created by applying a scaling, translation, and small rotation: (x', y′)=(s⋅x+t_x​, s⋅y+t_y​).
where s=1/2 ​ is the shrink factor, and (t_x ​,t_y ​ ) are translations that place the new drops relative to the parent. A small rotation is also applied using the standard matrix R(θ) = [cosθ, −sinθ; sinθ, cosθ].
These transformations