This comprehensive scholarly treatise presents an exhaustive, rigorous analysis of autostereograms—also known as single-image random dot stereograms (SIRDS) or Magic Eye images—examining the complex neurophysiological mechanisms, computational algorithms, perceptual psychology, and visual neuroscience underlying these remarkable optical illusions that encode three-dimensional depth information within two-dimensional repetitive patterns. Autostereograms represent a fascinating intersection of computer graphics, visual psychophysics, neurobiology, perception science, and cognitive psychology, exploiting the sophisticated binocular depth perception mechanisms evolved in primates and other species possessing stereoscopic vision. This investigation explores the historical development of stereoscopic imaging from Charles Wheatstone's stereoscope invention in 1838 through Béla Julesz's revolutionary random dot stereograms in 1960, culminating in Christopher Tyler and Maureen Clarke's 1979 development of the autostereogram technique enabling three-dimensional perception from single two-dimensional images without requiring special viewing apparatus. The research examines the fundamental neurophysiological basis of stereopsis—the extraction of depth information from binocular disparity between the slightly different retinal images projected onto each eye—analyzing the neural processing pathways through the lateral geniculate nucleus, primary visual cortex (V1), and higher cortical areas including V2, V3, and the middle temporal area (MT/V5) responsible for motion and depth perception.