Poincaré Disk Model
The Poincaré Disk Model is a way to represent hyperbolic geometry, which differs from the familiar Euclidean geometry. In this model, the entire hyperbolic plane is depicted within a circular disk. Points inside the disk represent locations in hyperbolic space, while the boundary of the disk is not included, indicating that points infinitely far away cannot be reached.
Lines in the Poincaré Disk Model are represented by arcs of circles that intersect the boundary of the disk at right angles. This unique representation allows for the visualization of hyperbolic properties, such as the fact that parallel lines can diverge, which contrasts with the behavior of lines in Euclidean geometry.