A ternary coil assembly (TCA) is provided, which may include an anterior coil, a posterior coil adjacently mounted side by side with respect to, and electrically isolated from and forming a plane with, the anterior coil, and an ancillary coil encircling, and electrically isolated from, the anterior and posterior coils. A magnetic field maneuvering system may include a number N of TCAs that may be positioned circularly. The circularly positioned TCAs, by manipulating their electrical current, may be operated to generate a magnetic field maneuvering pattern (MMP) such that a magnetic field may be generated in a first direction to orient a device in that direction, and a magnetic field gradient in a second direction to apply a movement force in the second direction. The direction of the magnetic field and the direction of the magnetic field gradient may differ, that is, they may be controlled independently.