Peano Curve in its nature is a kind of space-filling algorithm (cf. Weisstein, 2008) and can be regarded also as a Lindenmayer system (Peitgen & Saupe, 1988), one of the most famous fractal generating mechanisms. Here, instead of letting Peano curve fills all the landscape, we implement the Thue-Morse tiling system to fill the empty spaces of the motif taken from the traditional bangbangan batik.