This chapter will present the history and an estimate of current understanding ofthe spatial architecture of primary visual cortex (V-1, striate cortex, area 17) in primates. Special emphasis will be placed on experimental techniques, mathematical and computa-tional analyses, and the relevance of V-1 architecture to current work in machine vision. An attempt has been made to provide a representative coverage of the primary literature,but completeness in this regard is not claimed. Rather, the intention is to provide an overview of the difficulties, both conceptual and experimental, which have characterizedthis field for the past fifty years, and to provide some insight into the importance of spatial architecture in visual cortex to both biological and machine vision.History will be divided into four periods in which the status of understanding mapping in V-1 will be surveyed: Pre-Classical Prior to physiological demonstration of cortical topography Classical Initial demonstrations of topography, but no analytic characterization Middle First attempts at magnification factor data fitting and introduction of complex log model.