Fractals Generated by Various Iterative Procedures ? A Survey
Journal: Mathematical Journal of Interdisciplinary Sciences (Vol.2, No. 2)Publication Date: 2014-03-03
Authors : Renu Chugh; Ashish;
Page : 195-208
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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