Babbs, Charles F., "New Fractals for Computer Generated Art Created by Iteration of Polynomial Functions of a Complex Variable" (2017). Weldon School of Biomedical Engineering Faculty Working Papers. Paper 16.
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Algorithmic art, Chaos, Complex plane, Dynamics, Fractals, Generalized Mandelbrot set, Graphics, Iteration, Julia set, Mandelbrot set, Prisoner set
Novel fractal forms can be created by iteration of higher order polynomials of the complex variable, z, with both positive and negative exponents, followed by optional integer power transformation, k zz . Such functions lead to an expanded universe of fascinating fractal patterns that can be incorporated into computer generated art.