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21 What is the difference between the Mandelbrot set and a Julia set?

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This article is from the sci.fractals FAQ, by Michael C. Taylor and Jean-Pierre Louvet with numerous contributions by others.

21 What is the difference between the Mandelbrot set and a Julia set?

The Mandelbrot set iterates z^2 + c with z starting at 0 and
varying c. The Julia set iterates z^2 + c for fixed c and varying
starting z values. That is, the Mandelbrot set is in parameter space
(c-plane) while the Julia set is in dynamical or variable space
(z-plane).

 

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science, engineering, fractals, Mandelbrot, Julia, chaos, IFS







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previous page: 20 What are the seahorse and the elephant valleys?page up: sci.fractals FAQnext page: 22 What is the connection between the Mandelbrot set and Julia sets?