Working Paper Article Version 1 This version is not peer-reviewed

Generation of Fractals using Polynomial Iterations in Polar Coordinates

Version 1 : Received: 24 September 2021 / Approved: 24 September 2021 / Online: 24 September 2021 (12:39:34 CEST)

How to cite: Charonov, S. Generation of Fractals using Polynomial Iterations in Polar Coordinates. Preprints 2021, 2021090430 Charonov, S. Generation of Fractals using Polynomial Iterations in Polar Coordinates. Preprints 2021, 2021090430

Abstract

This article describes an algorithm for generating fractals using polar coordinates. The classic Julie and Mandelbrot polynomial iteration applied to a complex number is replaced by a separate iteration for distance and angle. By varying the polynomial parameters of the iteration functions, a wide range of attractive images can be created. Distance and angle values ​​are used to colorize fractal images.

Supplementary and Associated Material

Keywords

Fractals, Julia set, Mandelbrot set.

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

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