A method and apparatus for self-assembling a part on a substrate are disclosed herein. In some embodiments, a method includes placing a substrate having a first binding site capable of generating a first magnetic field and having a first shaped surface with a first droplet conformably disposed thereon into a first fluid; placing a part having a second binding site capable of generating a second magnetic field and having a second shaped surface with a second droplet conformably disposed on the second shaped surface into the first fluid; and attracting the part towards the first binding site such that an equilibrium is formed between an attractive force and a repulsive force such that the part is free to rotate about the first binding site to minimize the repulsive force when the first and second shaped surfaces rotate into an alignment causing the part to aligned with the first binding site.