8 citations · 21 across the 18 of their papers we have counts for
19 papers · 1 filter
Cylinder-like Pappus's hexagon theorem in Nil geometry
Jenő Szirmai
In this paper we deal with Nil geometry, in whose projective model the geodesic curves are helix-like and fit onto geodesic Nil cylinders of revolution with fibrum axes. In this pa…
Power with Respect to Generalized Spheres and Radical Surfaces in
Áron Világi, Jenő Szirmai
This paper presents a unified theory for the power of a point with respect to generalized spheres (spheres, horospheres, and hyperspheres) in -dimensional hyperbolic space $\mat…
Desargues's and Pappus's hexagon theorems on translation-type surfaces in Thurston geometries
Jenő Szirmai
In \cite{Sz25} we generalized the famous Menelaus' and Ceva's theorems for translation triangles in each non-constant curvature Thurston geometry. In this paper based on the descri…
Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic space
Arnasli Yahya, Jenő Szirmai
In this paper, we study the problem of hyperball (hypersphere) packings in -dimensional hyperbolic space (). We prove that to each -dimensional congruent saturated h…
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…