A study on fractal patterns for the textile design of the fashion design

Fractal sets are the geometry of chaos. It is an important branch in modern mathematics, so they are often used in graphic design, pattern design, fashion design and textile industries. The purpose of this paper is to propose a methodology for the generation method of Julia sets to generate fractal patterns for the textile design of the fashion design. The visual aesthetic fractal patterns are generated from Julia sets based on the escape time algorithm on complex plane. A pictorial information system is integrated through the application of Java programming language and development integration environment. Finally, the escape time algorithm has been proposed as the generation tools of highly visual aesthetic Fractal patterns. An example of practical applications will be presented to illustrate the usefulness of the proposed method. The results of the paper provide a powerful tool for the textile design of the fashion design.