Forcing nonperiodic tilings with one tile using a seed

@article{Klaassen2022ForcingNT,
title={Forcing nonperiodic tilings with one tile using a seed},
author={Bernhard Klaassen},
journal={Eur. J. Comb.},
year={2022},
volume={100},
pages={103454}
}

The so-called “einstein problem” (a pun playing with the famous scientist’s name and the German term “ein Stein” for “one stone”) asks for a simply connected prototile only allowing nonperiodic tilings without need of any matching rule. So far, researchers come only close to this demand by defining decorated prototiles forcing nonperiodicity of any generated tiling using matching rules. In this paper a class of spiral tilings (and one non-spiral example) is linked to a weaker form of the… Expand

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