Mistakes in one dimensional quasilattices are studied. The effect of mistakes on the diffraction intensity is calculated exactly: we show that the diffraction pattern is changed qualitatively. Detailed calculations of Fourier transform and configuration average are given. Also the density-density correlation for both perfect and imperfect quasilattices have been studied. We show explicitly that quasilattices are infinitely correlated, and that introducing mistakes does not break this

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... . Mistakes are shown to be generic for the quasilattice: they cost little energy, and increase the entropy. Article published online by EDP Sciences and available at http://dx.