2017
DOI: 10.1038/s41598-017-12669-w
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The Equivalence Between Unit-Cell Twinning and Tiling in Icosahedral Quasicrystals

Abstract: It is shown that tiling in icosahedral quasicrystals can also be properly described by cyclic twinning at the unit cell level. The twinning operation is applied on the primitive prolate golden rhombohedra, which can be considered a result of a distorted face-centered cubic parent structure. The shape of the rhombohedra is determined by an exact space filling, resembling the forbidden five-fold rotational symmetry. Stacking of clusters, formed around multiply twinned rhombic hexecontahedra, keeps the rhombohedr… Show more

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