When subjected to plastic deformation and/or elevated temperatures, the crystallographic character of grain boundaries (GBs) in polycrystalline mi-crostructures can change to reduce the total system energy . These energy minimizing transformations of GB crystallography constitute trajectories or paths along the GB energy landscape, which is a function over the 5-dimensional (5D) GB character space. Consequently, to understand, model, and predict such transformations and their effects on microstructure evolution, it is necessary to understand these paths and the relationships between GBs that are near each other in that space.