New Sierpinski's models

Abstract

Fractals in nature are always a result of some growth process. The Sierpinski gasket is the set of points in the plane which remain if one carries out this growth process infinitely often. Sierpinski gasket is one of the very beautiful fractals from the historic gallery of classical fractals. This paper includes an analysis of superior iterations as a formalism used to describe generation of Sierpinski models, which in time has become a general method of creating fractal objects. Each next category leads to a more generalized form of the Sierpinski model. In this paper, we have generated Sierpinski's models using superior iterations.