Poincaré model

The Poincaré model is a way to represent hyperbolic geometry, where space curves constantly away from itself. Imagine a circular disc where lines are represented by arcs that stay within the disc, but never cross the boundary. In this model, distances grow exponentially, and concepts like parallel lines differ from flat (Euclidean) geometry. It’s useful for visualizing complex structures that have infinite size but finite boundaries, like some networks or geometries in physics, because it preserves angles and allows for accurate exploration of hyperbolic patterns within a manageable, curved space.