2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152957We produce a one-parameter family of hyperplane arrangements that are counterexamples to the conjecture of Saito that the complexified complement of a free arrangement is $K(π,1)$. These arrangements are the restriction of a one-parameter family of arrangements that arose in the study of tilings of certain centrally symmetric octagons. This other family is discussed as well.5 pagesAlgebraic TopologyCombinatoricsNot all free arrangements are $K(π,1)$text