Mandelbrot Set

The Mandelbrot set is the set of complex numbers c for which the sequence produced by repeatedly applying the function f(z) = z^2 + c, starting from z = 0, does not diverge to infinity. It is named for Benoit Mandelbrot, who obtained the first high-quality computer visualizations of it in 1980 while working at IBM's Thomas J. Watson Research Center, though the underlying iteration had been studied by Pierre Fatou and Gaston Julia decades earlier. The boundary of the Mandelbrot set is a fractal curve of unbounded complexity, revealing new detail at every level of magnification, and a given value of c belongs to the Mandelbrot set exactly when its corresponding Julia set is connected, making the Mandelbrot set a map of every connected Julia set at once. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/