First spotted in 1982 by Dan Shechtman, quasicrystals have a subtle long-range order that enables them to evince rotational symmetries never seen in conventional crystals. (See Physics Today, December 2011, page 17.) When a quasicrystal grows, it incorporates material in small bits. For decades, theorists have been working to understand how the local incorporation and long-range order can be compatible. Now a team led by the University of Tokyo’s Keiichi Edagawa has imaged the quasicrystalline alloy Al70.8Ni19.7Co9.5 as it adds on new material. They found that the growth process includes episodes in which the quasicrystal’s 10-fold rotational symmetry threatened to become lost. But during those episodes, the quasicrystal became strained; the molecular rearrangements that relaxed the strain defused the threat. Edagawa and colleagues reached those conclusions from a geometric analysis of images such as the one here, obtained with high-resolution transmission electron...

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