Quasicrystals: algebraic, combinatorial and geometrical aspects
  The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For the description of their properties we use the methods of combinatorics on words. 
Edita Pelantov\'a, Zuzana Mas\'akov\'a