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A stable one-dimensional quasicrystal has been found in slowly cooled Al75Pd15Fe10. The one-dimensional quasicrystal can be derived from a two-dimensional decagonal quasicrystal by introducing a finite linear phason strain. The melting temperature of the one-dimensional quasicrystal was measured to be lower than that of the two-dimensional decagonal quasicrystal.
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