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An algorithm is formulated to describe the construction of arrays whose individual antenna elements are to be distributed nonuniformly over an aperture. From the distribution to which the algorithm is equivalent, a distribution of array factor values is inferred. It is also shown how the individual array factor values may be statistically described when the element placement is statistically described. An array of antenna elements can be nonuniformly distributed so as to produce an array factor with a single major lobe from one-fourth the elements required by a uniform distribution at a sacrifice of 5 db in sidelobe level and no sacrifice in main beamwidth.