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FoundationsofPhysics,Vol.33,No.12,December2003(©2003) Quasicrystals: A Matter of Definition

By Ron Lifshitz


It is argued that the prevailing definition of quasicrystals, requiring them to containanaxisofsymmetrythatisforbiddeninperiodiccrystals,isinadequate. Thisdefinitionistoorestrictiveinthatitexcludesanimportantandinteresting collectionofstructuresthatexhibitallthewell-knownpropertiesofquasicrystals withoutpossessinganyforbiddensymmetries. KEY WORDS:quasicrystals;quasiperiodiccrystals;incommensuratecrystals; symmetry. 1

Year: 2009
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