Abstract
Similar to the incommensurate composite structures, a quasicrystal can be considered as consisting of several mutually incommensurate subsystems, each subsystem being a modulated crystalline structure. The mutual modulation of these subsystems gives a source of the stability of quasicrystals. Due to the compactness of the combination of these subsystems into one phase, this kind of modulation is characterized by the formation of local close-packed structures. The maximum repeated frequency of local close-packed structures in space gives the lowest energy state, i.e., a quasicrystalline phase, which is described by a Penrose-like tiling.
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