Give a regular description for the set of words obtained by intercaling two words $w_1,w_3$ for which there exists another word $w_2$ such that all three $w_1,w_2,w_3$ satisfy that are words over $\{0,1\}$ with the same length and such that the natural value obtained by interpreting $w_1$ as a binary number, that is $\mathtt{value}_2(w_1)$, is bigger than $\mathtt{value}_2(w_2)$, that in addition is bigger than $\mathtt{value}_2(w_3)$. Intercaling $n$ words $w_1,\ldots,w_n$ over $\{0,1\}$ and with the same length gives as result a word whose sequence of symbols is: the first symbol of $w_1$, the first symbol of $w_2$, …, the first symbol of $w_n$, the second symbol of $w_1$, the second symbol of $w_2$, …, the second symbol of $w_n$, the third symbol of $w_1$, and so on.