Jason Cole 7/11/2014

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This article explores Newton fractals, which are 2D plots of the complex plane where each point is colored based on the value of a complex number after successive Newton-Raphson iterations. It explains the mathematical process of solving f(z)=0 for complex functions, how basins of attraction form around roots, and how fractal boundaries emerge with higher-degree polynomials. Examples include f(z)=z^2-1 and f(z)=z^3-1, with animated GIFs showing iteration effects. The content is technical, focused on mathematics, algorithms, and visualization, relevant to computer science and programming.

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