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

April 26, 2017chaos Complexity difference Engineering fractals julia Mandelbrot

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

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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).