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An algorithm for generating quasiperiodic patterns and their approximants
Author(s) -
Eric A. Lord,
K Ramakrishnan,
S. Ranganathan
Publication year - 2000
Publication title -
bulletin of materials science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.35
H-Index - 72
eISSN - 0973-7669
pISSN - 0250-4707
DOI - 10.1007/bf02706552
Subject(s) - quasiperiodic function , quasicrystal , subspace topology , orthorhombic crystal system , algorithm , hypercube , materials science , blattodea , penrose tiling , mathematics , combinatorics , physics , condensed matter physics , mathematical analysis , optics , diffraction , ecology , cockroach , biology
An algorithm for projecting the interior of a hypercube inN-dimensions on to anm-dimensional subspace has been developed and incorporated into a computer program for generating quasiperiodic and periodic patterns in ann-dimensional subspace. Some aspects of the resulting orthorhombic approximants to Penrose tiling patterns are discussed and illustrated.

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