Julia Set Fractal: c = -0.36 - 0.62i in the Complex Plane

This GeoGebra example visualizes the Julia set fractal for a fixed complex parameter c = -0.36 - 0.62i. It iterates the function z → z² + c for each point in the complex plane and colors points based on how quickly they diverge, revealing intricate fractal boundaries. Core mathematical concepts include complex arithmetic, iteration, dynamical systems, fractal geometry, and convergence/divergence criteria. The construction uses the First command to extract initial elements from lists, numerous point objects (A1–A21) and a list (lijst2) to store iteration results, a slider (knop1) to control parameters, and raster grids (raster) plus images (afbeelding1, afbeelding2) to enhance visualization. Suitable for high school to university students exploring complex numbers, fractals, and computational mathematics, as well as for mathematical art and creative projects.