Julia Sets and the Mandelbrot Set
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Each Julia set on the right corresponds to a quadratic polynomial of the form . You can use the locator to choose the complex number from the picture of the Mandelbrot set on the left. The Julia set will be a connected set precisely when lies in the Mandelbrot set.
Contributed by: Mark McClure (March 2011)
Open content licensed under CC BY-NC-SA
"Julia Sets and the Mandelbrot Set"
Wolfram Demonstrations Project
Published: March 7 2011