Quasicrystals. The Technique for Constructing Quasiperiodic Structures

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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34 pages, 24 figures-eps, LaTeX2e, AmS-LaTeX. Corrected typos

Scientific paper

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.

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