Aperiodic Tilings and Entropy

@article{Durand2014AperiodicTA,
  title={Aperiodic Tilings and Entropy},
  author={Bruno Durand and Guilhem Gamard and Ana{\"e}l Grandjean},
  journal={Theor. Comput. Sci.},
  year={2014},
  volume={666},
  pages={36-47}
}
In this paper we present a construction of Kari-Culik aperiodic tile set, the smallest known until now. Our construction is self-contained and organized to allow reasoning on properties of the resulting sets of tilings. With the help of this construction, we prove that this tileset has positive entropy. We also explain why this result was not expected. 
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