- 94-212 S. E. Dworkin, Juinn-I Shieh
- Deceptions in Quasicrystal Growth
(215K, Latex and Postscript)
Jun 24, 94
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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.
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94-212.tex