  A mutation cycle is a cycle in a graph whose vertices are labeled by the
quivers in a given mutation class and whose edges correspond to single
mutations. For any fixed $n\ge 4$, we describe arbitrarily long mutation cycles
involving $n$-vertex quivers. Each of these mutation cycles allows for an
arbitrary choice of $n \choose 2$ positive integer parameters. None of the
mutation cycles we construct can be paved by short mutation cycles.
