Generating Symmetrical Batik Pattern by Fractal Model Based on Four Quadrants Generic Pattern in Four and Five Straight Lines Forms

Tedjo Darmanto ,Hamdi Hidayatuloh ,Farhan Fadhurrohman ,Firman Firdaus ,Fauzan Kifahayat
Keywords: IFS fractal model, affine transformation, symmetrical batik pattern, generic quadrant pattern ,

Abstract

To design and generate symmetrical batik patterns by fractal model can be easily modified for future needs, as long as the fractal object generated by iterated function system (IFS) can be obtained by just decoding the code. The IFS code represents the coefficients of affine transformation, so can be modified by affine transformation such as translating, mirroring or flipping horizontally or vertically. Batik pattern in block form that is delimited by crossed lines can be filled by any color. There is a tricky way to build a straight line in fractal form by normalizing the draft thick line. In this paper there are two generic quadrant patterns as examples, the patterns are built in four and five straight line forms crossing one or more other lines. To copy a pattern in quadrant to other quadrants relative to the center can be done horizontally first then vertically or vice versa.