Wallpaper Patterns with Self-Similar and Graph-Directed Fractal Lattice Units

Ali Deniz, Sahin Kocak, Ynuns Ozdemir, A. Ersin Ureyen

We construct two sets of 17 plane patterns corresponding to the 17 wallpaper groups such that for each pattern the lattice units are realized as self-similar fractals and graph-directed fractals, respectively.