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Phys. Rev. Lett. 60, 2653–2656 (1988)

Growing Perfect Quasicrystals

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George Y. Onoda1, Paul J. Steinhardt2, David P. DiVincenzo1, and Joshua E. S. Socolar3
1IBM Research Division, Thomas J. Watson Research Laboratory, Yorktown Heights, New York 10598
2Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
3Department of Physics, Harvard University, Cambridge, Pennsylvania 02138

Received 16 March 1988; published in the issue dated 20 June 1988

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.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.60.2653
DOI:
10.1103/PhysRevLett.60.2653
PACS:
61.50.Em, 61.55.Hg, 64.70.Pf