A lattice is a regular arrangement of points in space, often used in mathematics and physics to describe structures. In a lattice, each point represents a position in a repeating pattern, which can be visualized in two or three dimensions. Lattices are fundamental in crystallography, where they help explain the arrangement of atoms in a crystal structure. In mathematics, particularly in order theory, a lattice is a set equipped with two binary operations: meet and join. These operations allow for the combination of elements to find their greatest lower bound and least upper bound, respectively. Lattices are important in various fields, including computer science and algebra, for organizing data and solving problems.