Lobachevsky Plane

The Lobachevsky Plane is a fundamental concept in non-Euclidean geometry, developed by mathematician Nikolai Lobachevsky. Unlike the familiar flat surfaces of traditional geometry (where parallel lines never meet), the Lobachevsky Plane allows for multiple lines that do not intersect a given line through a point. This unique structure leads to different rules for angles and shapes, creating a space that can be curved or hyperbolic. It's essential for understanding complex geometrical concepts and has applications in modern physics, cosmology, and even in the design of certain types of architecture.