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How are large and small spacings arranged in a Penrose pattern?
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quasicrystal
Figure 1: Hexagonal lattice of atomic sites.
In a Penrose pattern, the rhombic tiles are organized into sets of parallel rows. Within each family of these rows, the spacings between them are either large (L) or small (S). The arrangement of these large and small spacings follows the Fibonacci sequence, a quasiperiodic pattern where the ratio of the width of the large rows to the small rows is equal to the golden mean ().1