GIS features can intersect in many ways. For examples see, e.g., https://sites.google.com/a/allegheny.edu/geographic-information-systems/home/topological-models-of-gis.

The concept of "intersection" may include more than just sharing common points (the set-theoretic model): when considering the topology of the features, intersections can be further refined according to which parts of the features overlap (interior, boundary, and exterior) and how they overlap (such as a transverse intersection of polylines compared to tangential contact).

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