A search pattern was a maneuver performed aboard a starship to locate someone or something.
In 2267, Montgomery Scott performed a search pattern for a missing freighter but noticed a trap to navigate the USS Enterprise away from Capella IV. (TOS: "Friday's Child")
In 2372, Commander Chakotay ordered a standard search pattern for the continuous scans of the surface of a planet controlled by the Mokra Order to find the missing away team. (VOY: "Resistance")