Beta-integers were defined as a generalization of integers by Alfréd Rényi in 1957 in the course of his study of expansions of real numbers in non-integer bases. Together with mathematicians, crystallographers are also interested in this unusual structure. They have found out that beta-lattices are in particular convenience for the description of quasicrystals and their diffraction images., Ľubomíra Balková., and Obsahuje bibliografii