This work indicates that primate visual cortex orientation column structure is best understood in the context of other `ordered continuous media' (e.g. liquid He3, cholesteric liquid crystals, random optical phase maps, to name only a few) in which an order parameter (orientation in this case) is mapped to a physical space, and in which the topological properties of the mapping determine the observable regularities of the system. We also point out that these methods may well be applied to a variety of other cortical map systems which admit an `order parameter', i,e. for which each cortical position is assigned a continuous stimulus value