Projective plane

A projective plane is a mathematical concept that extends the idea of a regular plane by adding points at infinity, where parallel lines meet. In this system, any two lines intersect at exactly one point, and any two points determine a unique line. This structure helps mathematicians study geometric properties without exceptions for parallelism, creating a more complete and symmetrical framework. It has applications in fields like computer graphics, coding theory, and design, providing insights into how spaces and relationships can be modeled beyond traditional Euclidean geometry.