New Fractals for Computer Generated Art Created by Iteration of Polynomial Functions of a Complex Variable

Authors

Charles F. Babbs, Purdue UniversityFollow

Recommended Citation

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.
https://docs.lib.purdue.edu/bmewp/16

Date of this Version

9-14-2017

Keywords

Algorithmic art, Chaos, Complex plane, Dynamics, Fractals, Generalized Mandelbrot set, Graphics, Iteration, Julia set, Mandelbrot set, Prisoner set

Abstract

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 zz . Such functions lead to an expanded universe of fascinating fractal patterns that can be incorporated into computer generated art.