Abstract
In Chap. 7 we discussed the dynamics of soft-matter quasicrystals with 12-fold symmetry observed in liquid crystals, polymers, colloids, and so on. There are some other quasicrystals, e.g., 10-fold symmetry quasicrystals that have been observed but not yet reported, the symmetry of which is similar to that of the 12-fold symmetry quasicrystals, and they also belong to the first type of two-dimensional quasicrystals. This chapter discusses the soft-matter quasicrystals with 10-fold symmetry. The quasicrystal system exhibits some characteristics, for example, a strong coupling between phonons and phasons for these quasicrystals, which is very interesting.
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