Creation of fractal objects by using iterated function system

The fractal is made up of the union of several copies of itself, each reproduction being transformed by a function system. Iterated function systems or (IFSs) are a method of creating fractals; the resulting structures are always self-similar. Any set of linear maps (affine transformations) and connected set of probabilities determines an Iterated function system. Each IFS has a unique “attractor” which is naturally a fractal set (object). Fractal design of different shapes has gained much recognition in recent years. In this paper two algorithms are given that create pictures of fractals using IFS. Also this paper presents the application of the theory of IFS to generate line fractal, Koch polygon, Sierpinski triangle and Pythagorean tree.