Wallpaper Patterns with Self-Similar and Graph-Directed Fractal Lattice Units
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.
Classification : 20H15
Keywords: Self-similar fractals, Graph-directed fractals, Wallpaper groups, Tilings
@article{VM_2011_13_2_a1,
     author = {Ali Deniz and Sahin Kocak and Ynuns Ozdemir and A. Ersin Ureyen},
     title = {Wallpaper {Patterns} with {Self-Similar} and {Graph-Directed} {Fractal} {Lattice} {Units}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2011_13_2_a1/}
}
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Ali Deniz; Sahin Kocak; Ynuns Ozdemir; A. Ersin Ureyen. Wallpaper Patterns with Self-Similar and Graph-Directed Fractal Lattice Units. Visual Mathematics, Tome 13 (2011) no. 2. http://geodesic.mathdoc.fr/item/VM_2011_13_2_a1/