2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138148We study infinite words coding an orbit under an exchange of three intervals which have full complexity $\C(n)=2n+1$ for all $n\in\N$ (non-degenerate 3iet words). In terms of parameters of the interval exchange and the starting point of the orbit we characterize those 3iet words which are invariant under a primitive substitution. Thus, we generalize the result recently obtained for sturmian words.CombinatoricsDynamical Systems68R15Characterization of substitution invariant 3iet wordstext