Fivefold symmetry in the solid state remains a puzzle, if only because credible realizations are statistically special structures. But now it seems likely that they are not so special.
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Maddox, J. Quasicrystals stabilized by entropy. Nature 340, 261 (1989). https://doi.org/10.1038/340261a0
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DOI: https://doi.org/10.1038/340261a0
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