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1 Quasicrystals

Sections 1-3 introduce a conceptual and historical background for the understanding of crystals and quasicrystals. Sections 4-9 describe work on quasicrystals, developed at the Tübingen group Symmetry in Physics since the year 1980.

 1.1 Point symmetry
 1.2 Tilings
 1.3 Translational symmetry
 1.4 Aperiodic Scaling
 1.5 Theory predates experiment
 1.6 Fourier properties
 1.7 Dual tilings
 1.8 Quasiperiodic functions
 1.9 Covering

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