Wallpaper Patterns with Self-Similar and Graph-Directed Fractal Lattice Units
Visual Mathematics, Tome 13 (2011) no. 2
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2011},
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 PB - mathdoc 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/