TY - JOUR AB - We consider packings of congruent circles on a square flat torus, i.e., periodic (w.r.t. a square lattice) planar circle packings, with the maximal circle radius. This problem is interesting due to a practical reason—the problem of “super resolution of images.” We have found optimal arrangements for N=6, 7 and 8 circles. Surprisingly, for the case N=7 there are three different optimal arrangements. Our proof is based on a computer enumeration of toroidal irreducible contact graphs. AU - Musin, Oleg AU - Nikitenko, Anton ID - 1222 IS - 1 JF - Discrete & Computational Geometry TI - Optimal packings of congruent circles on a square flat torus VL - 55 ER -