Mandelbrot Set The Mandelbrot set is perhaps the most popular fractal. It was named after the mathematician Benoit B. Mandelbrot. The mathematical background is quite simple to understand, especially if you are familiar with the complex numbers theory. The following recursive equation is used: \[z_{n+1} = z_{n}^2 + c\] with: \[z_n \in \mathbb{C} \\\ \lim_{n \rightarrow \infty}\| z_{n} \| \ne \infty \\\ z_{0} = c\] It’s mathematically proven that for given \(c\) if the above limit exceeds 2 ...
