Butterfly effect fractal

Abstract

In this paper, a new concept of integration of fractal and the butterfly effect is proposed and implemented. A new fractal program was designed and developed to perform such integration. Among many existing fractal and chaos software programs, none of them allow us to achieve the resulting patterns demonstrated in this paper. Moreover, it is the first time that a fractal program provides functional concepts of overlapping results in 3D space and sequential transformations, which allow us to generate a wider variety of patterns. Therefore, potentially an artist can use this program to create 2D digital artworks. © 2010 Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering.