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Self-assembly-assisted growth of two-dimensional Penrose tiling
Authors:A Sinha  D Kande
Institution:1. National Metallurgical Laboratory , Jamshedpur 831 007, India arvind@nmlindia.org;3. Banaras Hindu University , Varanasi 221 005, India
Abstract:An algorithm for the growth of two-dimensional Penrose tiling, based on symmetry operations on a seed rhombus, is discussed and demonstrated. Independent of empirical matching rules, as suggested by Penrose Bull. Inst. Math. Appl. 10 266 (1974)], and also overcoming the scaling-down operation, as proposed by Ramachandrarao et al. (Acta Crystallogr. A 47 210 (1991)], the present algorithm follows a mechanism akin to self-assembly and can be continued ad infinitum.
Keywords:Cu-Be-Co alloy  dimensional change  precipitation behaviour  γ m phase  plastic deformation  misfit
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