Preliminary results on the atomic decoration of a random-cluster model for icosahedral-phase alloys are presented. The calculated neutron and x-ray intensities compare quite favorably with experimental intensity data on /-AlMnSi. The origin of the peak at Q = 1.62 A -1 , associated with the prepeak found in "amorphous" AlMnSi, as well as the ubiquitous "diffuse" scattering, seen experimentally under the groups of strong peaks in all icosahedral-phase alloys, are revealed selectively in the calculated partial intensities for Al-Al, Al-Mn, and Mn-Mn correlations.