"Local rules for Cut and Project Tilings"Fernique, ThomasThe cut-and-project method is a classical method to define quasi-periodic tilings, which are often used to model quasicrystals. Penrose or Ammann-Beenker tilings are well known examples. A possible stabilization of quasicrystals in terms of short-range energetic interactions leads to the question of which tilings are characterized by their local patterns only. This is for instance the case for Penrose tilings, but not for Ammann-Beenker tilings. We propose an overview of the main results known to date. |
« back