Abstract
The structural geometry of grain boundaries in icosahedral quasicrystals is theoretically examined. So, basic geometric characteristics of such boundaries are found which are related to positions of adjacent quasicrystalline grains. It is shown that grain boundaries in icosahedral quasicrystals represent new-type incommensurate condensed media which are characterized by the quasiperiodic translational order with (in general) unusually high vector basis dimension. Geometric features of grain boundary dislocations in icosahedral quasicrystals are also examined.
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