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Tilings, coverings, clusters and quasicrystals

Lord, EA and Ranganathan, S and Kulkarni, UD (2000) Tilings, coverings, clusters and quasicrystals. In: Current Science, 78 (1). pp. 64-72.


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A quasiperiodic covering of the plane by regular decagons and an analogous structure in three dimensions are described. The 3D pattern consists of interpenetrating triacontahedral clusters, related to the $tt^{\mathrn{3}}$ inflation rule for the 3D Penrose tiling patterns. The overlap regions are triacontahedron faces, rhombic dodecahedra and rhombic icosahedra, The structure leads to a plausible model for the T2 icosahedral quasicrystalline phases.

Item Type: Journal Article
Publication: Current Science
Publisher: Current Science Assn
Additional Information: Copyright of this article belongs to Indian Academy of Sciences
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 17 Sep 2004
Last Modified: 19 Sep 2010 04:15
URI: http://eprints.iisc.ac.in/id/eprint/1801

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