A magnetically directed, self-assembled structure has a first body. The first body includes a single magnet or plurality of magnets disposed thereon to form a spatially variable magnetic field in a first predetermined pattern. A second body has a single magnet or plurality of magnets disposed thereon to form a spatially variable magnetic field in a second predetermined pattern. The second predetermined pattern is complementary to the first pattern. The first body is attracted to the second body with an attractive force greater than a mixture force such that the first body and second body are fully aligned to each other and bonded together.