JOURNAL ARTICLE

Generation of fractals and antifractals via DK iteration.

  • Published In: Mathematics in Engineering, Science & Aerospace (MESA), 2024, v. 15, n. 4. P. 1167 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Biban, Geeta; Chugh, Renu; Panwar, Anju 3 of 3

Abstract

A fractal is a complex mathematical pattern constructed from simple repetitive forms that shrink in size with each repetition. The purpose of this research is to identify escape criteria for complex polynomials Qc(p) = pk + c and anti polynomials Ac(p) = p̄k + c, where c ∈ C and k≥ 2, respectively, to generate fractals (Julia and Mandelbrot sets) and antifractals (anti Julia sets and anti Mandelbrot sets) using DK fixed point iterative procedure. Fractal geometry has been studied, and stunning artistic creations have been produced as a result. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematics in Engineering, Science & Aerospace (MESA). 2024/12, Vol. 15, Issue 4, p1167
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:2041-3165
  • Accession Number:182624581
  • Copyright Statement:Copyright of Mathematics in Engineering, Science & Aerospace (MESA) is the property of Nonlinear Studies and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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