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Quasiperiodic crystals, also known as Shechtmanite crystals, are a type of crystal that has a non-repeating atomic pattern. They were discovered in 1982 by Daniel Shechtman, and their existence challenged the long-held belief that all crystals must have a repeating atomic pattern. Quasiperiodic crystals have been found to have a variety of properties, including high strength and toughness.