<p style='text-indent:20px;'>We introduce substitutions in <inline-formula><tex-math id="M1">\begin{document}$ {\mathbb{Z}}^m $\end{document}</tex-math></inline-formula> which have non-rectangular domains based on an endomorphism id="M2">\begin{document}$ Q of id="M3">\begin{document}$ and a set id="M4">\begin{document}$ {\mathcal D} coset representatives ...