Wallpaper Patterns with Self-Similar and Graph-Directed Fractal Lattice Units
Visual Mathematics, Tome 13 (2011) no. 2
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
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},
year = {2011},
volume = {13},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VM_2011_13_2_a1/}
}
TY - JOUR AU - Ali Deniz AU - Sahin Kocak AU - Ynuns Ozdemir AU - A. Ersin Ureyen TI - Wallpaper Patterns with Self-Similar and Graph-Directed Fractal Lattice Units JO - Visual Mathematics PY - 2011 VL - 13 IS - 2 UR - http://geodesic.mathdoc.fr/item/VM_2011_13_2_a1/ LA - en ID - VM_2011_13_2_a1 ER -
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/