94-212 S. E. Dworkin, Juinn-I Shieh
Deceptions in Quasicrystal Growth (215K, Latex and Postscript) Jun 24, 94
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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 a very large class of aperiodic tiling models with local matching rules.

Files: 94-212.tex