Partition lens across the corpus

Ellerman’s partition logic suggests a useful cross-corpus lens, but only where blocks are mutually exclusive and jointly exhaustive #ZBQE96 The clearest exact case is hydrological catchments: terrain cells are equivalent when they drain to the same outlet, and watershed labeling assigns one common label to every such equivalence class #NNC37P #477DMT FastFlow similarly defines a basin as cells sharing a stream tree/root #A6G5PJ and propagates basin identifiers upstream #C9XNSJ saddle crossings then connect or merge basin blocks #L94DMG suggesting dynamic coarsening of a catchment partition. Hydrological terrain generation also constructs Voronoi cells and hierarchical watersheds/subwatersheds #KAMGFF #WL3SCW giving nested partitions at multiple scales. Other exact or near-exact corpus examples include planar regions cut by major streets/topographic boundaries #PUZXXV recursive figure/ground and connected-pixel segmentation #FXLSNG head/tail classes #WQW77N MAP-Elites bins that partition behavior/search space #DJQRBX #964T2S fluid particles classified into rendering layers #48RCD2 and walker populations grouped by entry–destination pair #RRJ2BJ Alexanderian centers should not be treated as a partition without qualification because their local symmetries and centers overlap across scales #LNKPPL Conceptually, a deterministic map from each terrain cell to its terminal outlet realizes Ellerman’s function-to-partition idea #BLF82B catchments are the inverse-image fibers of the outlet map.