Fractals Generated by Various Iterative Procedures – A Survey

Renu Chugh; Ashish

doi:10.15415/mjis.2014.22016

Authors

Renu Chugh Department of Mathematics, Maharishi Dayanand University, Rohtak
Ashish Department of Mathematics, Maharishi Dayanand University, Rohtak

DOI:

https://doi.org/10.15415/mjis.2014.22016

Keywords:

Julia Sets, Mandelbrot Sets, Cantor Sets, Sierpinski’s Triangle, Koch Curve

Abstract

These days fractals and the study of their dynamics is one of the emerging and interesting area for mathematicians. New fractals for various equations have been created using one-step iterative procedure, two-step iterative procedure, three-step iterative procedure and four-step iterative procedure in the literature. Fractals are geometric shapes that have symmetry of scale. In this paper, a detailed survey of fractals existing in the literature such as Julia sets, Mandelbrot sets, Cantor sets, etc have been given.

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