Pure Reality Filter on Instagram: "In non-Euclidean geometry, the concept of parallel lines differs from traditional Euclidean rules. In hyperbolic geometry, through a point not on a given line, infinitely many lines can be drawn that never intersect the original line. Conversely, in elliptic geometry, no parallel lines exist because all lines eventually intersect. These deviations from Euclidean parallel postulates reshape our understanding of space, curvature, and distance. Non-Euclidean geome