The first is the Newton’s method as elaborated in detail by Peitgen & Saupe (1988). The basic pattern become the motif that is tiled by using the Thue-Morse algorithm. It is interesting to find the emerged big picture of the yielded ornaments. The second pattern shown in the figure is based on the dragon curve. The elaboration of this method can be seen in Wells (1991: 59). The dragon curve is basically made up as recursive nonintersecting curve, but for the need as the basic motif here, we fill the coverage of the curve in brown color as presented in the figure. The last example is the modification to the Koch’s Curve, inspired by the algorithm of the famous Koch’s Snowflake (Wells, 1991: 135-6). Originally the Koch’s Snowflake is a closed curve or just slightly made with a single line as initial condition. However, in the model we use here, we made random angle for the growing iterative lines in our algorithm as shown in the figure. Apparently, from the figure we could clearly see another emerging ornamentation that is applicable for batik decorations by using transformation that can simply be written as,