Interweaving Parallel Lines

"In ordinary Euclidean geometry, parallel lines do not intersect..." "In projective geometry, parallel lines intersect at a point at infinity..." "In hyperbolic geometry, parallel lines can intersect at a point at infinity, or they can not intersect at all..." "And our world is like parallel lines in this vast universe..." "Different angles determine your perception of things..." "And you, young man! Have you realized that it is not us who are sick, but the world!" In Ward No. 0510 Of the Mental Hospital, Zheng Yi, who checked in with his bags, fell into deep thought as he looked at the nagging "roommate" and the "ghost symbols" all over the wall...