28 citations · 86 across the 33 of their papers we have counts for
5 papers · 1 filter
Top dense hyperbolic ball packings and coverings for complete Coxeter orthoscheme groups
Emil Molnár, Jenő Szirmai
In -dimensional hyperbolic space there are -types of spheres (balls): the sphere, horosphere and hypersphere. If we know an universal upper b…
NIL geodesic triangles and their interior angle sums
Jenő Szirmai
In this paper we study the interior angle sums of geodesic triangles in $\NIL$ geometry and prove that it can be larger, equal or less than . We use for the computations the pro…
The sum of the interior angles in geodesic and translation triangles of Sl2(R) geometry
Géza Csima, Jenő Szirmai
We study the interior angle sums of translation and geodesic triangles in the universal cover of Sl2(R) geometry. We prove that the angle sum is larger then pi for translation tria…
Geodesic ball packings generated by regular prism tilings in geometry
Benedek Schultz, Jenő Szirmai
In this paper we study the regular prism tilings and construct ball packings by geodesic balls related to the above tilings in the projective model of geometry. Pack…
Structure and Visualization of Optimal Horoball Packings in -dimensional Hyperbolic Space
Robert T. Kozma, Jeno Szirmai
Four packings of hyperbolic 3-space are known to yield the optimal packing density of . They are realized in the regular tetrahedral and cubic Coxeter honeycombs with…