Growing Perfect Quasicrystals

Phys. Rev. Lett. 60, 2653 – Published 20 June 1988
George Y. Onoda, Paul J. Steinhardt, David P. DiVincenzo, and Joshua E. S. Socolar


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.


  • Received 16 March 1988
  • Published in the issue dated 20 June 1988

© 1988 The American Physical Society

Authors & Affiliations

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

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