28 citations · 86 across the 33 of their papers we have counts for
4 papers · 1 filter
Densest geodesic ball packings to 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 space groups having rotation point groups and their gen…
Hyperball packings in hyperbolic -space
Jenö Szirmai
In earlier works \cite{Sz06-1}, \cite{Sz06-2}, \cite{Sz13-3} and \cite{Sz13-4} we have investigated the densest packings and the least dense coverings by congruent hyperballs (hype…
Non-periodic geodesic ball packings to infinite regular prism tilings in $\SLR$ space
Jenö Szirmai
In \cite{Sz13-1} we defined and described the {\it regular infinite or bounded} -gonal prism tilings in $\SLR$ space. We proved that there exist infinitely many regular infinite…
New Lower Bound for the Optimal Ball Packing Density in Hyperbolic 4-space
Robert Thijs Kozma, Jenő Szirmai
In this paper we consider ball packings in -dimensional hyperbolic space. We show that it is possible to exceed the conjectured -dimensional realizable packing density upper…