Non-periodic tilings in 2-dimensions with 4, 6, 8, 10 and 12-fold symmetries |
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Authors: | V Sasisekharan S Baranidharan V S K Balagurusamy A Srinivasan E S R Gopal |
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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 |
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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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Keywords: | Tilings rhombuses symmetry non-periodic diffraction |
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