Lattice paths are routes taken on a grid or lattice, typically moving only in specific directions, such as right and up. These paths are often used in combinatorics to solve problems related to counting the number of ways to reach a certain point on the grid. Each step in a lattice path corresponds to a movement in one of the allowed directions. In mathematics, lattice paths can be visualized using Pascal's Triangle or binomial coefficients, which help in calculating the total number of unique paths. They are also relevant in computer science, particularly in algorithms and graph theory, where they can represent various traversal methods.