Plotting algorithms for the Mandelbrot set

Still image of a movie of increasing magnification on 0.001643721971153 − 0.822467633298876i
Still image of an animation of increasing magnification

There are many programs and algorithms used to plot the Mandelbrot set and other fractals, some of which are described in fractal-generating software. These programs use a variety of algorithms to determine the color of individual pixels efficiently.