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The projection method: Fourier transforms and projected patterns
Author(s) -
Duneau Michel,
Katz André
Publication year - 1987
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1987.tb01346.x
Subject(s) - quasiperiodic function , quasicrystal , fourier transform , icosahedral symmetry , projection (relational algebra) , computation , simple (philosophy) , basis (linear algebra) , fourier analysis , symmetry (geometry) , projection method , physics , mathematics , algorithm , mathematical analysis , geometry , dykstra's projection algorithm , philosophy , epistemology
SUMMARY The projection method is the current basis of numerous research for structural models of quasicrystals. The method provides structures which are quasiperiodic and present an icosahedral symmetry, and allows a simple computation of their Fourier transforms. The two‐dimensional projections of the structures can also be obtained by the same method and are quasiperiodic and discrete.