Cubic lattice
= Cubic lattice
{title2=$\mathbb Z^d$}
= Hypercubic lattice
{synonym}
The <cubic lattice> in dimension $d$ has <graph vertex> <set> $\mathbb Z^d$ and an <edge> between $x,y$ exactly when $\sum_i|x_i-y_i|=1$. For $d=2$ it is the <square lattice>. Every <graph vertex> has $2d$ <graph neighbours>, so it is a <locally finite graph>.