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Anandh Subramaniam, Krishnamurthy Ramakrishnan

Rational approximants to 5, 8 and 7-fold two-dimensional tilings

The strip projection method is used to generate rational approximants to Penrose, octagonal and 7-fold tilings. Two types of approximants to the Penrose tiling are considered, wherein the basis vectors of the approximants are either orthogonal or are 72° apart. Various types of approximants including those with partially retained quasiperiodicity are generated and the pseudosymmetries arising therein analyzed. A simplified approach based on uniform distortions of perpendicular space is put forth for the analyses.

Zeitschrift für Kristallographie, Oldenbourg Wissenschaftsverlag

Print ISSN: 0044-2968
Volume: 218, 09/2003
Pages: 590

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