Norman left the planet and, posing as a Starfleet sciences division lieutenant, signed aboard the USS Enterprise. After successfully taking over the ship, he redirected it to Mudd to carry out "Lord" Mudd's plan.
The plot ultimately failed. Captain Kirk and Spock correctly hypothesized that the android population was essentially a hive mind and that Norman was the central control locus. The androids were deactivated when Norman's processors were unable to deal with a flood of illogic presented to him by the Enterprise's crew.