This application let you design your own batif motif, thanks to Grenfoot and Julia Set (Fractal)..
Batik (Javanese pronunciation: [ˈbateʔ]; Indonesian: [ˈbatɪk]) is a technique of manual wax-resist dyeing applied to whole cloth, or cloth made using this technique. Batik is made either by drawing dots and lines of the resist with a spouted tool called a canting (IPA: [tʃantiŋ], also spelled tjanting), or by printing the resist with a copper stamp called a cap (IPA: [tʃap], also spelled tjap). The applied wax resists dyes and therefore allows the artisan to color selectively by soaking the cloth in one color, removing the wax with boiling water, and repeating if multiple colors are desired.
A tradition of making batik is found in various countries, including Nigeria, China, India, Malaysia,Philippines and Sri Lanka; the batik of Indonesia, however, is the most well-known. Indonesian batik made in the island of Java has a long history of acculturation, with diverse patterns influenced by a variety of cultures, and is the most developed in terms of pattern, technique, and the quality of workmanship. On October 2009, UNESCO designated Indonesian batik as a Masterpiece of Oral and Intangible Heritage of Humanity. [source:wikipedia]
A fractal is a natural phenomenon or a mathematical set. What they have in common is a repeating pattern that displays at every scale. If the replication is exactly the same at every scale, it is called a self-similar pattern. Fractals can also be nearly the same at different levels. This latter pattern is illustrated in Figure 1. Fractals also includes the idea of a detailed pattern that repeats itself.:166; 18 -- wikipedia