Combinatorial geometry is a branch of mathematics that studies geometric objects and their combinatorial properties. It focuses on arrangements, configurations, and the relationships between points, lines, and shapes in space. This field often involves counting and analyzing geometric structures, such as how many ways points can be connected or how shapes can intersect. Researchers in combinatorial geometry explore various problems, including those related to convex hulls, Voronoi diagrams, and packing problems. The discipline has applications in computer science, optimization, and even robotics, where understanding spatial relationships is crucial for problem-solving and algorithm development.