The self-assembly of surfactant micelles in the formation of templated mesoporous silicas can be tuned to produce mesoporous materials with quasicrystalline ordering, proving that quasicrystals are indeed a general form of ordered but non-periodic matter.
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Tolbert, S. Holey quasicrystals. Nature Mater 11, 749–751 (2012). https://doi.org/10.1038/nmat3414
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DOI: https://doi.org/10.1038/nmat3414