Quasicrystals. The Technique for Constructing Quasiperiodic Structures

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In this paper, a technique for constructing quasiperiodic structures is suggested, which allows one by the assigned matching to restore the atoms density distribution formula of a corresponding quasicrystal. The algorithm to restore the atom density distribution has been considered on the example of the Penrose matching. The analytical record of a Penrose quasicrystal is given.
34 pages, 24 figures-eps, LaTeX2e, AmS-LaTeX. Corrected typos

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