Study on Textile Pattern Design Based on Mandelbrot Set.pdf

Proceedings of the 2010 International Conference on Information Technology and Scientific Management

Study on Textile Pattern Design Based on
Mandelbrot Set

Rong Hou1,2, YingLin Li1, Lihui Cao3
1 School of Textile, Tianjin Polytechnic University, Tianjin, P. R. China
2 Dezhou Vocational and Technical College, Dezhou, P. R. China
3School of Art and Clothing, Tianjin Polytechnic University, Tianjin, P. R. China
Email: hrltlxq@, tx8875@, caolihui-007@ (Correspongding author: YingLin Li)

Abstract: Fractal geometry is a new subject that study of the graphics and structures which are -
plex but have self-similarity. In recent 30 years, fractal geometry has a rapid development. Based on the study
of iteration formulas of Mandelbrot set, the most famous set in fractal geometry, method of automatically
generate fractal graphics has been discussed in this paper, with the help puter powerful operation abil-
ity. And try to use these graphics to design textile patterns. First design Mandelbrot set fractal pattern genera-
tion algorithm, then write program in Visual C++ environment, once set different initial values or parameter
values for the program, very different fractal patterns can be generated. Four different fractal patterns using
different parameters are showed in the paper. The application of fractal patterns has put forward a new