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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/9000


    Title: Deceptions in quasicrystal growth
    Authors: Jiunn-I Shieh;Kwang-Wu Chen;Hung-Lin Chiu
    Date: 1999
    Issue Date: 2010-04-21 10:55:43 (UTC+8)
    Abstract: We discuss a new general phenomenon pertaining to tiling models of quasicrystal growth. It is known that with Penrose tiles no (deterministic) local matching rules exist which guarantee defect-free tiling for regions of arbitrary large size. We prove that this property holds quite generally: namely, that the emergence of defects in quasicrystal growth is unavoidable for all aperiodic tiling models in the plane with local matching rules, and for many models inR 3 satisfying certain conditions.
    Relation: Communications in Mathematical Physics 168 : 337-352
    Appears in Collections:[行動商務與多媒體應用學系] 期刊論文

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