Types of Quasicrystal

- In two dimensions, there are 3 types:

* octagonal quasicrystals with local 8-fold symmetry [primitive & body-centered lattices]
* decagonal quasicrystals with local 10-fold symmetry [primitive lattice]
* dodecagonal quasicrystals with local 12-fold symmetry [primitive lattice]
- In three dimensions (no periodic direction), there is only one type:

* icosahedral quasicrystals (axes:12x5-fold, 20x3-fold, 30x2-fold) [primitive, body-centered & face-centered lattices]
- Interestingly, there is a New type that was reported in Nature, Nov.2000). it is "icosahedral" quasicrystal with broken symmetry (stable binary Cd5.7Yb).