 It is possible to interleave two copies of the structure, filling one-fourth of the points of the integer lattice, while preserving the fact that the adjacent vertices are exactly the pairs of points that are units apart, and all other pairs of points are farther apart.The two copies are mirror images of each other.As an abstract graph, the Laves graph can be constructed as the maximal abelian covering graph of the complete graph "K"4.