Combinatorial geometry investigates the arrangement and interaction of discrete geometric objects, such as points, lines and higher-dimensional shapes, and quantifies their combinatorial properties.

The combinatorial geometry of hyperplane arrangements explores how a finite collection of affine hyperplanes partitions Euclidean space and the rich invariants that arise from this partitioning. At ...

(PhysOrg.com) -- A mathematician in the Indiana University College of Arts and Sciences is being credited with resolving a 65-year-old problem in combinatorial geometry that sought to determine the ...

A long-standing problem in discrete geometry involving how many pairs of points can be exactly one unit apart has been addressed using an artificial intelligence system developed by OpenAI, according ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.