Finite Geometry

Finite geometry is a branch of mathematics that studies geometric properties and structures that consist of a finite number of points, lines, and planes. Unlike traditional geometry, which can involve infinite points, finite geometry focuses on how these entities interact in a limited scope. For example, in finite geometry, every line might contain a specific number of points, and there are specific rules about how points and lines relate to one another. It has applications in areas like coding theory, cryptography, and combinatorial design, making it important in both mathematics and fields like computer science.