Discrete geometry and
combinatorial geometry are branches of
geometry that study
combinatorial properties and constructive methods of
discrete geometric objects. Most questions in discrete geometry involve
finite or
discrete sets of basic geometric objects, such as
points,
lines,
planes,
circles,
spheres,
polygons, and so forth. The subject focuses on the combinatorial properties of these objects, such as how they
intersect one another, or how they may be arranged to cover a larger object.