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

Baranidharan, S and Balagurusamy, VSK and Srinivasan, A and Gopal, ESR and Sasisekharan, V (1989) Non-periodic tilings in 2-dimensions: 4- and 7-fold symmetries. In: Phase Transitions: A Multinational Journal, 16 . pp. 621-626.

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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.

Item Type: Journal Article
Publication: Phase Transitions: A Multinational Journal
Publisher: Taylor and Francis Group
Additional Information: Copyright of this article belongs to Taylor and Francis Group.
Department/Centre: Division of Biological Sciences > Molecular Biophysics Unit
Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 19 Oct 2010 08:53
Last Modified: 19 Oct 2010 08:53
URI: http://eprints.iisc.ac.in/id/eprint/33234

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