A Guide to Mathematical Quasicrystals

@article{Baake2002AGT,
  title={A Guide to Mathematical Quasicrystals},
  author={Michael Baake},
  journal={arXiv: Mathematical Physics},
  year={2002},
  pages={17-48}
}
  • M. Baake
  • Published 20 January 1999
  • Mathematics, Physics
  • arXiv: Mathematical Physics
This contribution deals with mathematical and physical properties of discrete structures such as point sets and tilings. The emphasis is on proper generalizations of concepts and ideas from classical crystallography. In particular, we focus on their interplay with various physically motivated equivalence concepts such as local indistinguishability and local equivalence. Various discrete patterns with non-crystallographic symmetries are described in detail, and some of their magic properties are… 
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