Growing perfect quasicrystals

George Y. Onoda, Paul J. Steinhardt, David P. Divincenzo, Joshua E.S. Socolar

Research output: Contribution to journalArticle

81 Scopus citations


We present an approach for aggregating Penrose tiles to form a defect-free, 2D pentagonal quasicrystal tiling. Contrary to conventional wisdom, defect-free quasiperiodic tilings can be constructed by use of local rules alone. The results provide new insights as to how materials with only short-range atomic interactions can grow large, nearly perfect quasicrystal grains.

Original languageEnglish (US)
Pages (from-to)2653-2656
Number of pages4
JournalPhysical review letters
Issue number25
StatePublished - Jan 1 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Onoda, G. Y., Steinhardt, P. J., Divincenzo, D. P., & Socolar, J. E. S. (1988). Growing perfect quasicrystals. Physical review letters, 60(25), 2653-2656.