Lobachevsky geometry

Lobachevsky geometry, also known as hyperbolic geometry, is a non-Euclidean geometry where, unlike in traditional Euclidean geometry, the parallel postulate does not hold. In this space, through a point outside a given line, there are infinitely many lines that do not intersect the original line. This results in a space of constant negative curvature, where triangles have angles summing to less than 180 degrees, and the rules for shapes and distances differ from our usual experience. It provides a framework for understanding complex models of the universe, especially in fields like cosmology and theoretical physics.