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Crystals, Volume 7, Issue 10 (October 2017)
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Cover Story (view full-size image) Quasicrystal dynamics and growth are guided by the non-local empires—tiles forced by certain local [...] Read more. Quasicrystal dynamics and growth are guided by the non-local empires—tiles forced by certain local patches. For example, the empire of a vertex configuration in Penrose tiling can be obtained using the forced Ammann bars. In addition to studying the empires using the Amman bars and the multigrid methods, we introduce a new method of generating the empires of vertex configurations in quasicrystals based on the cut-and-project technique, which allows the empires in defected quasicrystals to be calculated. View this paper