Five-fold quasiperiodic tilings generated by inflated rhombuses with identical boundaries: possible application to the growth of quasicrystals

Balagurusamy, VSK and Ramesh, K and Gopal, ESR (1992) Five-fold quasiperiodic tilings generated by inflated rhombuses with identical boundaries: possible application to the growth of quasicrystals. In: Physica B: Condensed Matter, 179 (3). pp. 249-256.

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Abstract

In order to generate normal Penrose tilings by inflation/deflation, decisions have to be made regarding the matching of the rhombuses/tilings with their neighbours. We show here that this decision-making problem can be avoided by adopting a deflation/inflation procedure which uses the decorated rhombuses with identical boundaries. The procedure enables both kinds of inflated rhombuses to match in any orientation along their edges. The tilings so generated are quasiperiodic. These structures appear to have a close relationship with the growth mechanism of quasicrystals.

Item Type:	Journal Article
Publication:	Physica B: Condensed Matter
Publisher:	Elsevier science
Additional Information:	Copyright of this article belongs to Elsevier science.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	04 Jan 2011 08:47
Last Modified:	04 Jan 2011 08:47
URI:	http://eprints.iisc.ac.in/id/eprint/34642

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