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Non-periodic tilings in 2-dimensions with 4, 6, 8, 10 and 12-fold symmetries
V Sasisekharan S Baranidharan V S K Balagurusamy A Srinivasan E S R Gopal
Crystallography Volume 33 Issue 3 September 1989 pp 405-420
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https://www.ias.ac.in/article/fulltext/pram/033/03/0405-0420 -
Keywords
Tilings ;rhombuses ;symmetry ;non-periodic ;diffraction -
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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Author Affiliations
V Sasisekharan1 S Baranidharan2 V S K Balagurusamy1 2 A Srinivasan1 3 E S R Gopal1 2 3
- Molecular Biophysics Unit, Indian Institute of Science, Bangalore - 560 012, India
- Department of Physics, Indian Institute of Science, Bangalore - 560 012, India
- Instrumentation and Services Unit, Indian Institute of Science, Bangalore - 560 012, India
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Dates
- Published
- September 1989
- Manuscript received
- 31 January 1989
- Manuscript revised
- 3 April 1989
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Pramana – Journal of Physics
Volume 97, 2023
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