Lobachevsky space

Lobachevsky space, named after mathematician Nikolai Lobachevsky, refers to a type of non-Euclidean geometry where the usual rules of Euclidean geometry do not apply. In this space, parallel lines can diverge or converge, and the angles of triangles can sum to less than 180 degrees. This geometry is often visualized using curved surfaces, such as a hyperbolic plane, and has applications in various fields including physics, particularly in understanding the shape of the universe and in modeling complex systems. It challenges our intuitive ideas about shape and space.