Browsing by Author "Korepin, Vladimir E."

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    Quasiperiodic tilings : a generalized grid projection method
    (1988) Korepin, Vladimir E.; Gähler, Franz; Rhyner, Jakob
    We generalize the grid-projection method for the construction of quasiperiodic tilings. A rather general fundamental domain of the associated higher-dimensional lattice is used for the construction of the acceptance region. The arbitrariness of the fundamental domain allows for a choice which obeys all the symmetries of the lattice, which is important for the construction of tilings with a given non-trivial point-group symmetry in Fourier space. As an illustration, the construction of a two-dimensional quasiperiodic tiling with 12-fold orientational symmetry is described.