The projective plane is a mathematical concept in geometry that extends the idea of a traditional plane. In a projective plane, every pair of lines intersects at a single point, and every pair of points is connected by a line. This structure allows for the inclusion of "points at infinity," where parallel lines meet, creating a more comprehensive understanding of geometric relationships. One common model of the projective plane is the real projective plane, which can be visualized using homogeneous coordinates. In this model, points are represented by triples of numbers, and lines are defined by linear equations. The projective plane is essential in various fields, including algebraic geometry and computer graphics.