Abstract
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 language | English (US) |
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Pages (from-to) | 2034-2037 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 64 |
Issue number | 17 |
DOIs | |
State | Published - 1990 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy