NON-PERIODIC TRANSLATIONAL ORDER IN QUASICRYSTALS WITH STABLE ATOMIC DENSITY ON SEVERAL CELLS

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Abstract
The projection of the cubic lattice in IE 3 to an intersecting plane IE 2 serves as a paradigm for non-periodic translational order. The quasicrystal model proposed has stable atomic density supported on three parallelogram cells. The Fourier transform is reduced to integrals over the three cells. In case of a periodic projection, the model reduces to the periodic crystal model in the plane with a single cell.

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