A series of superconducting aluminum disks (0.1 to 2 microns in size) sit on top of a semiconducting structure. Buried beneath the spots where the strips cross are tiny realms in which electrons, constituting 2-dimensional electron gases (2DEG), are sensitive to the magnetization of the disks above. In this way the size-dependent properties of superconductors no bigger than a Cooper pair (the electron doublets that form inside superconductors) can be studied.