Iterative Procedures in Generating Fractal Carpets

Abstract

Fractals in nature are always a result of some growth process. Sierpinski carpet is one of the very beautiful fractals from the historic gallery of classical fractals. Carpet designing is not only a fascinating activity in computer graphics, but it has real applications in carpet industry as well. One may find illusionary delighted carpets designed here, which are useful in real designing of carpets. Each next category leads to a more generalized form of the fractal carpet. This paper includes an analysis of superior iterations as a formalism used to describe generation of carpets, which in time has become a general method of creating fractal objects. In this paper, inspired by superior iterates and recent paper Categorizations of Fractal Plants, we have generated Fractal carpets using superior iterations.