👉 Pointed math, also known as hyperbolic geometry or Lobachevskian geometry, is a non-Euclidean geometry where the parallel postulate does not hold; through a point not on a given line, there exist multiple lines that do not intersect the original line. Unlike traditional Euclidean geometry, where parallel lines remain equidistant, in pointed math, these lines diverge or converge depending on the direction. This results in unique properties such as angles in triangles summing to less than 180 degrees, and the existence of "hyperbolic triangles" with increasingly larger angles as they extend. These characteristics make pointed math a fascinating area of study, particularly in fields like theoretical physics and computer graphics, where non-Euclidean spaces offer novel ways to model complex systems.
