Finite Geometry
Finite geometry is a branch of mathematics that studies geometric structures with a finite number of points. Unlike traditional geometry, which often deals with infinite sets, finite geometry focuses on configurations that can be completely described using a limited number of elements. This includes concepts such as points, lines, and planes, but in a finite context.
One of the key areas of finite geometry is the study of projective planes and affine planes. These structures have applications in various fields, including combinatorics and coding theory. Finite geometries help mathematicians understand the properties and relationships of geometric figures in a discrete setting.