Non-Euclidean Geometry is a branch of mathematics that explores geometrical systems that do not adhere to the traditional rules established by Euclid. Unlike Euclidean geometry, which is based on flat surfaces, Non-Euclidean Geometry includes curved spaces, leading to fascinating implications in both mathematics and physics. One of the most notable types of Non-Euclidean Geometry is hyperbolic geometry, where the parallel postulate of Euclidean geometry is replaced. This results in a space where, through a point not on a given line, there are infinitely many lines that do not intersect the original line, challenging our intuitive understanding of space.