Katz, André Introduction to quasi-crystals. (Introduction aux quasicristaux.) (French) Zbl 0924.52015 Séminaire Bourbaki. Volume 1997/98. Exposés 835–849. Paris: Société Mathématique de France, Astérisque. 252, 81-103, Exp. No. 838 (1998). This is an informal introduction to some of the questions and results that emerged from the discovery of quasicrystals in the early eighties. The author focuses on aspects where he has substantially contributed himself, such as diffraction, projection method, tiling theory and local structures. Also, topological properties are discussed, and how they are relevant for the distinction of different types of order.For further information, the interested reader should consult the references [‘Lectures on quasicrystals.’ ed. by F. Hippert and D. Gratias (1994)] and [‘Beyond quasicrystals’ ed. by F. Axel and D. Gratias (1994; Zbl 0880.00009)] of this survey, or (for more mathematical developments) the book “The mathematics of long-range aperiodic order” (1997; Zbl 0861.00015) ed. by R. V. Moody.For the entire collection see [Zbl 0911.00019]. Reviewer: M.Baake (Tübingen) Cited in 2 Documents MSC: 52C23 Quasicrystals and aperiodic tilings in discrete geometry 82D25 Statistical mechanics of crystals Keywords:aperiodic order tilings; quasicrystals Citations:Zbl 0880.00009; Zbl 0861.00015 PDFBibTeX XMLCite \textit{A. Katz}, in: Séminaire Bourbaki. Volume 1997/98. Exposés 835--849. Paris: Société Ma\-thé\-ma\-tique de France. 81--103, Exp. No. 838 (1998; Zbl 0924.52015) Full Text: Numdam EuDML