The Mandelbrot set, named after Benoit Mandelbrot, is a set of points on the complex plane where re-iterating its value through f(z) = z^2 + c infinite times does not approach infinity, where c is the chosen complex number and z is the previous f(z), which begins at a value of c. The Mandelbrot set is popular for being the most common example of a fractal, a closed area with an infinite parameter. Move the slider to change the quality Turbo mode recommended Enjoy!