Poincaré disk model

The Poincaré disk model is a way to visualize hyperbolic geometry, which is a non-Euclidean geometry. Imagine a flat circle, where every point inside represents a different place in this unique geometric space. In this model, lines are represented as arcs that curve towards the edge of the circle, but never touch it. Distances and angles are distorted compared to familiar Euclidean geometry, allowing for a rich understanding of shapes and relationships in hyperbolic space. This model is useful in various fields, including mathematics, art, and physics, for illustrating complex concepts in an intuitive way.