Robust matching rules for real quasicrystals

Pavel Kalugin, André Katz
2020 Journal of Physics, Conference Series  
We consider the problem of extraction and validation of matching rules, directly from the phased diffraction data of a quasicrystal, and propose an algorithmic procedure to produce the rules of the shortest possible range. We have developed a geometric framework to express such rules together with a homological mechanism enforcing the long-range quasiperiodic order. This mechanism tolerates the presence of defects in a robust way.
doi:10.1088/1742-6596/1458/1/012002 fatcat:xgdnybyu55hetgk25jstkrskhe