Hierarchical clusterings compactly encode multiple granularities of clusters within a tree structure. Hierarchies, by definition, fail to capture different flat partitions that are not subsumed in one another. In this paper, we advocate for an alternative structure for representing multiple alternative clusterings, a directed acyclic graph (DAG). By allowing nodes to have multiple parents, the DAG structure is not only more flexible than a tree but also allows for points to be members of multipl…