The repetitive stochastic patterns of eye dominance and orientation pr
eference found in the mammalian visual cortex have attracted much atte
ntion from theoretical neurobiologists during the last two decades. Re
asons for this include the visually intriguing nature of the patterns
and the fact that many aspects of their development seem likely to be
dependent upon both spontaneous and visually driven patterns of neural
activity. Understanding these processes holds out the promise that ge
neral theories of learning and memory may be derived from those found
to be applicable to the visual cortex. It has turned out, in fact, tha
t remarkably simple models, based on Hebbian synaptic plasticity, intr
acortical interactions and competitive interactions between cells and
growing axons, have been able to explain much of the phenomenology. Th
is article reviews the models of topographic organization in the visua
l cortex in a roughly historical sequence, beginning with von der Mals
burg's paper 1973 paper in Kybernetik on self-organization of orientat
ion selectivity. The principles on which each of the models is based a
re explained, and the plausibility of each model and the extent to whi
ch it is able to account for the relevant experimental data are evalua
ted. Attention is drawn to the underlying similarities and differences
between the models and suggestions are made for future directions in
research.