Standard words and solutions of the word equation $X_1^2\cdots X_n^2=(X_1\cdots X_n{)}^2$

Jarkko Peltomäki, Aleksi Saarela

We consider solutions of the word equation $X_1^2\cdots X_n^2=(X_1\cdots X_n{)}^2$ such that the squares $X_i^2$ are minimal squares found in optimal squareful infinite words. We…