Quasicrystals: tiling versus clustering

Lord, EA and Ranganathan, S and Kulkarni, UD (2001) Quasicrystals: tiling versus clustering. In: Philosophical Magazine A-Physics Of Condensed Matter Structure Defects And Mechanical Properties, 81 (11). pp. 2645-2651.

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Abstract

A quasiperiodic covering of a plane by regular decagons is described, and an analogous structure in three dimensions is deduced. This consists of a pattern of interpenetrating congruent triacontahedral clusters, related to the tau (3) inflation rule for quasiperiodic Ammann tiling patterns. The overlap regions are triacontrahedron faces, oblate hexahedra, rhombic dodecahedra and rhombic icosahedra. The structure leads to a plausible model for T2 icosahedral quasicrystalline phases.

Item Type:	Journal Article
Publication:	Philosophical Magazine A-Physics Of Condensed Matter Structure Defects And Mechanical Properties
Publisher:	Taylor and Francis
Additional Information:	Copyright of this article belongs to Taylor and Francis.
Keywords:	Quasi-Crystals;Al-Mn;Coverings;Model
Department/Centre:	Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited:	10 Feb 2010 07:50
Last Modified:	19 Sep 2010 04:56
URI:	http://eprints.iisc.ac.in/id/eprint/17335

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