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      Generation of Fractals using Polar Coordinates

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      research-article

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      ScienceOpen Preprints

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      Fractals, Julia set, Mandelbrot set

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          Abstract

          The article describes an algorithm for generating fractals using polar coordinates. The classic Julia and Mandelbrot polynomial iteration applied to a complex number is replaced by an iteration with separate functions for distance and angle. A polynomial function is used for an angle and a power function for a distance. Varying the functions parameters allows to create a wide range of attractive pictures. Distance values ​​are used for coloring fractal images.

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          Author and article information

          Journal
          ScienceOpen Preprints
          ScienceOpen
          13 September 2021
          Affiliations
          [1 ] Horiba France SAS, 455 Avenue Eugène Avinée, 59120 Loos, France
          Author notes
          Article
          10.14293/S2199-1006.1.SOR-.PPBKDMO.v1

          This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

          The datasets generated during and/or analysed during the current study are available in the repository: https://doi.org/10.6084/m9.figshare.16608541

          Computer science

          Fractals, Julia set, Mandelbrot set

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