Matching rules and growth rules for pentagonal quasicrystal tilings

Kevin Ingersent, Paul J. Steinhardt

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We show that finite-range matching rules and growth rules exist for an infinite set of 2D pentagonal tilings other than the original Penrose tilings. There is a natural ordering of these tilings based on the range required for the rules. The results have implications for the determination of the atomic structure of icosahedral alloys.

Original languageEnglish (US)
Pages (from-to)2034-2037
Number of pages4
JournalPhysical review letters
Issue number17
StatePublished - 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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