A simpler approach to Penrose tiling with implications for quasicrystal formation

@article{Steinhardt1996ASA,
  title={A simpler approach to Penrose tiling with implications for quasicrystal formation},
  author={P. Steinhardt and H. Jeong},
  journal={Nature},
  year={1996},
  volume={382},
  pages={431-433}
}
  • P. Steinhardt, H. Jeong
  • Published 1996
  • Physics
  • Nature
  • QUASICRYSTALS1have a quasiperiodic atomic structure with symmetries (such as fivefold) that are forbidden to ordinary crystals2,3. Why do atoms form this complex pattern rather than a regularly repeating crystal? An influential model of quasicrystal structure has been the Penrose tiling4, in which two types of tile are laid down according to 'matching rules' that force a fivefold-symmetric quasiperiodic pattern. In physical terms, it has been suggested1 that atoms form two or more clusters… CONTINUE READING
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