Lattice paths

Lattice paths are routes traced on a grid of points spaced evenly apart, typically moving only in specific directions such as up or right. Imagine starting at the corner of a grid and walking to a designated point using only steps that go upward or to the right. These paths are studied in mathematics to understand patterns, counting the number of possible routes, and solving problems related to probability and combinatorics. They help model real-world scenarios like network routing, resource allocation, and robot movement within constrained environments.