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) |
|---|---|
| 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
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