4 citations · 8 across the 11 of their papers we have counts for
11 papers
Dense ball packings by tube manifolds as new models for hyperbolic crystallography
Emil Molnár, Jenő Szirmai
We intend to continue our previous papers (\cite{MSz17} and \cite{MSz18}, as indicated there) on dense ball packing hyperbolic space $\HYP$ by equal balls, but here with centres be…
Fibre-like cylinders, their packings and coverings in space
Jenő Szirmai
In this paper we define the notion of infinite or bounded fibre-like geodesic cylinder in space, develop a method to determine its vo…
Translation-like isoptic surfaces and angle sums of translation triangles in $\NIL$ geometry
Géza Csima, Jenő Szirmai
After having investigated the geodesic and translation triangles and their angle sums in $\SOL$ and $\SLR$ geometries we consider the analogous problem in $\NIL$ space that is one…
Upper bound of density for packing of congruent hyperballs in hyperbolic space
Jenő Szirmai
In \cite{Sz17-2} we proved that to each saturated congruent hyperball packing exists a decomposition of -dimensional hyperbolic space into truncated tetrahedra. T…
On hyperbolic cobweb manifolds
Emil Molnár, Jenő Szirmai
A compact hyperbolic "cobweb" manifold (hyperbolic space form) of symbol will be constructed in Fig.1,4,5 as a representant of a presumably infinite series $Cw(2p,2p,2p…
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…