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An alternative view on quasicrystalline random tilings

Christoph Richard

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We apply a framework for the description of random tilings without height representation, which was proposed recently, to the special case of quasicrystalline random tilings. Two important examples are discussed, thereby demonstrating the consistency of this alternative description with the conventional one. We also clarify the latter by deriving a group theoretic criterion for the validity of the first random tiling hypothesis.


PACS

61.44.Br Quasicrystals

MSC

52C23 Quasicrystals, aperiodic tilings

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 50 (17 December 1999)

Received 20 July 1999



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