New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in ${\mathbf{H}}^2\times \mathbf{R}$ space

Arnasli Yahya, Jenő Szirmai

In this paper, we present a new record for the densest geodesic congruent ball packing configurations in ${\mathbf{H}}^2\times \mathbf{R}$ geometry, generated by screw motion grou…