When similar visual stimuli are presented simultaneously to each eye, a single fused or averaged image is the precept; however, when the stimuli are sufficiently distinct, an average is not the percept. Rather, one perceives one image for a brief period of time (a few seconds), then the other, and so forth – with chaotic (in time) jumps between the two percepts. We present three distinct mechanisms that could underlie this phenomena, realizing each in an idealized neuronal model of an entry layer of primary visual cortex. The models are integrate and fire, conductance based point neurons, with an idealized “ring” architecture. Each of the three models capture the rivalry of distinct images, the fusion of similar images, and the transition from fusion to rivalry as the stimuli become more distinct – together with the qualitative properties of rivalry and fusion.