This Demonstration graphs quadratic Julia sets, which consist of the points in the complex plane whose modulus remains bounded under iteration of the map . Different values of the complex number yield different Julia sets.

The finest resolution image takes longest to plot. The number of iterations also affects the image and calculation time; the greater the iterations, the more detailed the image, but the longer it will take to calculate. 500 is a good number for disconnected sets, while 50 to 100 is usually best for connected sets.