Aperiodic tilings on the computer

Grimm, Uwe and Schreiber, Michael (2002). Aperiodic tilings on the computer. In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science (55). Berlin: Springer Verlag, pp. 49–66.

URL: http://www.amazon.co.uk/Quasicrystals-Introduction...


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.

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