Julia Sets and the Mandelbrot Set


c = 0 + 0

Each Julia set on the right corresponds to a quadratic polynomial of the form

f(z)=

2

z

+c

. You can use the locator to choose the complex number

c

from the picture of the Mandelbrot set on the left. The Julia set will be a connected set precisely when

c

lies in the Mandelbrot set.

Mark McClure