1999/02/28 by Uwe Grimm, Michael Schreiber
Physics and Astronomy · #cond-mat.mtrl-sci #cond-mat.dis-nn
published as Quasicrystals - An Introduction to Structure, Physical Properties and Applications, edited by J.-B. Suck, M. Schreiber and P. H"aussler (Springer, Berlin, 2002), pp. 49-66 · 18 pages, lots of figures; tutorial introduction prepared for a summer school on quasicrystals held in Chemnitz 1997; will eventually be published as part of a book on "Quasicrystals"; see also math-ph/9901014
arxiv created 1999/02/28 · arxiv updated 2009/11/30
We briefly review the standard methods used to construct quasiperiodic tilings, such as the projection, the inflation, and the grid method. A number of sample Mathematica programs, implementing the different approaches for one- and two-dimensional examples, are discussed. Apart from small examples, the corresponding programs are not contained in the text, but will be made available in electronic form.