Non-periodic tilings in 2-dimensions: 4- and 7-fold symmetries

Baranidharan, S. ; Balagurusamy, V. S. K. ; Srinivasan, A. ; Gopal, E. S. R. ; Sasisekharan, V. (1989) Non-periodic tilings in 2-dimensions: 4- and 7-fold symmetries Phase Transitions: A Multinational Journal, 16 (1-4). pp. 621-626. ISSN 0141-1594

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Related URL: http://dx.doi.org/10.1080/01411598908245737

Abstract

By inflating basic rhombuses, with a self-similarity principle, non-periodic tiling of 2-d planes is possible with 4, 5, 6, 7, 8, ... -fold symmetries. As examples, non-periodic tilings with crystallographically allowed 4-fold symmetry and crystallographically forbidden 7-fold symmetry are presented in detail. The computed diffraction patterns of these tilings are also discussed.

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Deposited On:21 Jul 2011 10:33
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