This work examines a variety of canonical, randomly distributed phased arrays in linear, planar, and volumetric topologies. We investigate their distributed beamforming capabilities in modern mobile autonomous systems. Sum-difference radiation patterns are generated and analyzed for suitability in applications such as amplitude monopulse scanning, direction of arrival estimation, and target tracking. We observe that the inherent randomness of the antenna array distribution alleviates typical half wavelength spacing requirements for grating-lobe free scanning, and tapering of the pattern is accomplished by confining the distribution to quadric topologies. Lastly, comparisons of simulated and measured scanning behavior for conclude the work.