Non-Euclidean Space

Non-Euclidean space refers to geometries that differ from traditional Euclidean geometry, which assumes flat surfaces and parallel lines that never meet. In non-Euclidean spaces, the rules change: for example, in some, parallel lines may curve and eventually intersect, or the surface itself might be curved, like a sphere. These geometries are fundamental in understanding the universe’s shape in physics and help describe complex structures where Euclidean rules don't apply, such as curved spacetime in general relativity. Overall, non-Euclidean spaces expand our understanding of geometry beyond flat, ordinary space.