In essence, the transition from simple local interactions to complex system-wide patterns is driven by the principle that when these local interactions aggregate and reach a certain level or configuration (a threshold), they initiate a form of system-wide resonance or coherence. This creates phenomena that are more than the sum of their parts, arising spontaneously from the dynamics of the system itself rather than from external direction or central control. The shared underlying pattern is described as emergence from local interactions leading to threshold-triggered coherence.