An aperiodic set of 11 Wang tiles
Advances in Combinatorics (2021)
We present a new aperiodic tileset containing 11 Wang tiles on 4 colors, and we show that this tileset is minimal, in the sense that no Wang set with either fewer than 11 tiles or fewer than 4 colors is aperiodic. This gives a definitive answer to the problem raised by Wang in 1961.
@article{ADVC_2021_a8,
author = {Emmanuel Jeandel and Michael Rao},
title = {An aperiodic set of 11 {Wang} tiles},
journal = {Advances in Combinatorics},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADVC_2021_a8/}
}
Emmanuel Jeandel; Michael Rao. An aperiodic set of 11 Wang tiles. Advances in Combinatorics (2021). http://geodesic.mathdoc.fr/item/ADVC_2021_a8/