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)|
|Number of pages||4|
|Journal||Physical Review Letters|
|State||Published - Jan 1 1990|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)