Allen's interval algebra describes the 2*6+1 = 13 relations: https://en.wikipedia.org/wiki/Allen's_interval_algebra https://en.wikipedia.org/wiki/Allen's_inter

Allen's interval algebra describes the 2*6+1 = 13 relations: https://en.wikipedia.org/wiki/Allen's_interval_algebra https://en.wikipedia.org/wiki/Allen's_interval_algebra It's possible to build a graph where the relations are nodes, and the edges are possible smooth operations on the intervals (e.g. translation). Then you have a state machine for smooth system evolution.