Quasiperiodic Tilings: A Generalized Grid–Projection Method
نویسندگان
چکیده
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 2d quasiperiodic tiling with twelvefold orientational symmetry is described.
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