Condensation to Fractal Shapes Constructing

Abstract

Two properties must be available in order to construct a fractal set. The first is the selfsimilarity of the elements. The second is the real fraction number dimension. In this paper,condensation principle is introduced to construct fractal sets. Condensation idea is represented in threetypes. The first is deduced from rotation –reflection linear transformation. The second is dealt withgroup action. The third is represented by graph function.