A projective plane is a type of geometric structure that extends the concept of a traditional plane. In a projective plane, any two lines intersect at exactly one point, and any two points lie on exactly one line. This creates a more unified view of geometry, where parallel lines can be thought of as meeting at a point at infinity. Projective planes can be constructed using various mathematical methods, including finite fields and homogeneous coordinates. They are important in fields like algebraic geometry and combinatorial design, providing a framework for understanding properties of shapes and their relationships in a more abstract way.