A two-dimensional metal film localized at the interface between 4-methyl-2-pentanone and aqueous electrolyte solution, was formed by an electrochemical deposition of zinc. The shape of this film changed as a function of the electrode potential. In the large overpotential region where the deposition was restricted by the transport of the zinc ion, a fractal pattern was formed. However, a disk pattern was made under the potential region where the electron transfer was the rate-determining step. Under a magnetic field, a spiral distortion of the two-dimensional and quasi-two-dimensional fractal pattern was observed at an air\liquid interface and in a thin layer electrolyte solution, respectively. The pattern produced at the liquid\liquid interface showed no distortion under the magnetic field.