Aperiodic Tilings on the Computer
Materials Science
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
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.
Cite
@article{arxiv.cond-mat/9903010,
title = {Aperiodic Tilings on the Computer},
author = {Uwe Grimm and Michael Schreiber},
journal= {arXiv preprint arXiv:cond-mat/9903010},
year = {2007}
}
Comments
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