Reflection quasilattices and the maximal quasilattice

@article{Boyle2016ReflectionQA,
  title={Reflection quasilattices and the maximal quasilattice},
  author={Latham A. Boyle and Paul J. Steinhardt},
  journal={Physical Review B},
  year={2016},
  volume={94},
  pages={064107}
}
We introduce the concept of a {\it reflection quasilattice}, the quasiperiodic generalization of a Bravais lattice with irreducible reflection symmetry. Among their applications, reflection quasilattices are the reciprocal (i.e. Bragg diffraction) lattices for quasicrystals and quasicrystal tilings, such as Penrose tilings, with irreducible reflection symmetry and discrete scale invariance. In a follow-up paper, we will show that reflection quasilattices can be used to generate tilings in real… 

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