Two-dimensional arrays of amorphous R-Co (R = Sm and Gd) square particles were prepared on 200 angstrom thick niobium films. Demagnetizing processes studied as a function of spatial periodicity are very different from those of uniform films with no pattern. Calculations show that the inter-particle dipolar interactions are negligibly small compared to self dipolar interactions. Interesting periodic oscillations were observed in the magnetoresistance measured around the superconducting transition temperature of the niobium film (T(c) = 7.1 K)