# Mandelbrot set explorer

The Mandelbrot Set is the set of complex numbers that stays bounded when iterated on the function, `f(z) = z`

. A famous example of a fractal in mathematics, the Mandelbrot Set has infinite complexity which makes exploring it quite interesting. In Python, using the UI and graphics libraries TKinter and Pillow, I created an interactive Mandelbrot Set visualizer that lets you zoom into parts of the fractal.^{2} + c

One challenge with the Mandelbrot set is that it is quite computationally intensive to visualize. For each pixel in the visualization, those coordinates need to be iterated on the before-mentioned formula. In order to speed up the visualization, this project uses mutliprocessing to split up the work load across all available CPU cores on the computer. Through this project I gained experience in software graphics and designing user interfaces.