A method of thinning a phased antenna array including defining a performance characteristic for the phased antenna array, partitioning the phased antenna array to define a plurality of sectors that each include an equal number of radiating element locations, wherein each radiating element location is either an active radiating element location or an inactive radiating element location. The method also includes determining a number of active radiating element locations to be included in a first sector of the plurality of sectors, and determining, based on the number of active radiating element locations, at least one arrangement of active and inactive radiating element locations in the first sector configured to achieve the performance characteristic. The method further includes applying the at least one arrangement to each remaining sector of the plurality of sectors such that the phased antenna array has rotational symmetry.