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Recently, a structure refinement method based on higher-dimensional cluster models was successfully applied to several typical quasicrystals. This is equally applicable to the structures, which consists of clusters with the highest symmetry under the space group or with a lower symmetry. The refinement method and model building based on the higher-dimensional cluster model will be reviewed together with newly clarified quasicrystal structures.
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Yamamoto et al. (2004) studied this question.
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