1. A system for reorienting a cluster rendering within a display, comprising: a collection module to obtain a plurality of clusters that have been visually rendered on a two-dimensional display to model independent spatial orientations within multiple dimensions; an evaluation module to evaluate the spatial orientations of the clusters in each such dimension by identifying two-dimensional relationships for pairs of the clusters; and a search module to determine a distance for at least one such cluster from a common origin within the display that visually preserves the spatial orientation of the at least one cluster as a function of the relationships of that cluster.