Densest geodesic ball packings to ${\mathbf{S}}^2\times \mathbf{R}$ space groups generated by screw motions

Benedek Schultz, Jenő Szirmai

In this paper we study the locally optimal geodesic ball packings with equal balls to the ${\mathbf{S}}^2\times \mathbf{R}$ space groups having rotation point groups and their gen…