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Non-periodic tilings in 2-dimensions with 4, 6, 8, 10 and 12-fold symmetries
Authors:V Sasisekharan  S Baranidharan  V S K Balagurusamy  A Srinivasan  E S R Gopal
Affiliation:(1) Molecular Biophysics Unit, Indian Institute of Science, 560 012 Bangalore, India;(2) Department of Physics, Indian Institute of Science, 560 012 Bangalore, India;(3) Instrumentation and Services Unit, Indian Institute of Science, 560 012 Bangalore, India
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.
Keywords:Tilings  rhombuses  symmetry  non-periodic  diffraction
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