 Square lattice

The square lattice has vertex set ${\mathbb{Z}}^2$ and joins vertices whose Euclidean distance is one.

A square lattice is a type of two-dimensional geometric arrangement of points (or nodes) in which each point has four neighbors, located at equal distances from it, forming a square grid. In this arrangement, the points are positioned at the vertices of a square, with equal spacing between them in both the horizontal and vertical directions. Key characteristics of a square lattice include: 1. **Uniform Distance**: The distance between neighboring points is constant, which means that the lattice appears uniform across the entire plane.