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Non-periodic tilings in 2-dimensions with 4, 6, 8, 10 and 12-fold symmetries

  • Crystallography
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Abstract

The two dimensional plane can be filled with rhombuses, so as to generate non-periodic tilings with 4, 6, 8, 10 and 12-fold symmetries. Some representative tilings constructed using the rule of inflation are shown. The numerically computed diffraction patterns for the corresponding tilings are also shown to facilitate a comparison with possible X-ray or electron diffraction pictures.

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Authors and Affiliations

  1. Molecular Biophysics Unit, Indian Institute of Science, 560 012, Bangalore, India

    V Sasisekharan, V S K Balagurusamy, A Srinivasan & E S R Gopal

  2. Department of Physics, Indian Institute of Science, 560 012, Bangalore, India

    S Baranidharan, V S K Balagurusamy & E S R Gopal

  3. Instrumentation and Services Unit, Indian Institute of Science, 560 012, Bangalore, India

    E S R Gopal

Authors
  1. V Sasisekharan
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  2. S Baranidharan
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  3. V S K Balagurusamy
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  4. A Srinivasan
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  5. E S R Gopal
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Sasisekharan, V., Baranidharan, S., Balagurusamy, V.S.K. et al. Non-periodic tilings in 2-dimensions with 4, 6, 8, 10 and 12-fold symmetries. Pramana - J Phys 33, 405–420 (1989). https://doi.org/10.1007/BF02845832

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  • DOI: https://doi.org/10.1007/BF02845832

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