Projective Plane
The Projective Plane is a mathematical concept in geometry that extends the idea of a plane by adding "points at infinity." In this structure, every pair of lines intersects at a unique point, which can be a real point or a point at infinity. This means that parallel lines, which do not meet in Euclidean geometry, intersect at a point at infinity in the projective plane.
One common model of the projective plane is the real projective plane, which can be visualized using a sphere. By projecting points from the sphere onto a plane, we can represent the projective plane's properties. This concept is essential in various fields, including algebraic geometry and computer graphics.