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Newton's Method Fractal 2

This fractal shows starting points in the complex plane for Newton's method applied to z4 - 1. This function has four complex roots. Each starting point is colored with one of four colors depending on which root it converges to. This picture shows starting points in the region [0.602, 0.998] x [0.601, 0.999]. A more detailed explanation is available. In particular, see the section, Newton's Method and Fractals.

Contributed by H. Edward Donley.

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The image along the right side of this page is chosen at random from the graphics gallery. Visit the graphics gallery to see all of the images and their descriptions.

Correspondence regarding this site should be sent to its maintainer, H. Edward Donley, <hedonley@iup.edu>.  Please see IUP's statement regarding pages that do not officially represent the university.