Structure determination of quasicrystals remains a complex and challenging problem. To date, the most successful approach has been the use of high dimensional crystallography. In this paper, we introduce the basic tools used in this method and illustrate it in the case of CdYb icosahedral phase determination. The relationship between the high dimensional description and the resulting 3D structure is presented. We briefly introduce the concept of phason modes and the effects on diffraction pattern.
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