Projective Planes

A projective plane is a mathematical concept that extends the idea of a regular plane by adding points at infinity where parallel lines intersect. In this system, every pair of lines meets at exactly one point, and every pair of points has a unique line passing through them. This creates a symmetric and consistent structure, useful in fields like geometry, computer graphics, and coding theory. Think of it as a way to treat all lines equally, ensuring that no line remains parallel, by conceptually "completing" the plane with points at infinity.