A lattice is a regular arrangement of points in space, often used in mathematics and physics. It consists of a repeating pattern that extends infinitely in multiple directions. Lattices can be found in various dimensions, with the simplest being a two-dimensional grid, like a checkerboard, and three-dimensional structures resembling a crystal framework. In crystallography, lattices describe the orderly arrangement of atoms in a crystal. Each point in the lattice represents the position of an atom or a group of atoms, and the overall structure determines the material's properties. Common examples include the cubic and hexagonal lattices found in different minerals.