Hyperbolic Geometry and Binocular Visual Space

Euclidean geometry is widely accepted as the model for our physical space; however, there is not a consistent model for our visual space. There is evidence that our eyes work to make pictures and images of the physical space using a hyperbolic model. In this paper we are going to explore hyperbolic geometry and hyperbolic models of binocular visual space. In hyperbolic geometry, all of the axioms of Euclidean geometry hold except the parallel postulate. The models of hyperbolic parallel lines explain how we perceive parallel lines as curved, such as how railroad tracks going off in the distance appear to converge. We will show that binocular visual space may indeed be best explained by a hyperbolic model.