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For a structure to be a quasicrystal, it should have the following properties:
1. It is ordered but not periodic.
2. It has long-range quasiperiodic translational order and long-range orientational order. In other words, for any finite patch within the quasicrystal, you can find an infinite number of identical patches at other locations with translational and rotational transformations.
3. It has finite types of prototiles/unit cells.
4 It has a discrete diffraction pattern.
(Mindat).
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