28 citations · 86 across the 33 of their papers we have counts for
39 papers
Lattice-like Packings and Coverings with Congruent Translation Balls and Cylinders in Sol geometry
Judit Sajtos, Jenő Szirmai
The aim of this paper is to study lattice-like coverings with congruent translation balls and the packings and coverings with a type of translation cylinders in Sol space related t…
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries
Jenő Szirmai
After having investigated and defined the ``surface of a translation-like triangle" in each non-constant curvature Thurston geometry \cite{Cs-Sz25}, we generalize the famous Menela…
Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries
Géza Csima, Jenő Szirmai
In the present paper we deal with non-constant curvature Thurston geometries \cite{M97}, \cite{S}, \cite{Sz22-3},\cite{W06}. We define and determine the generalized trans\-lation-l…
New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in space
Arnasli Yahya, Jenő Szirmai
In this paper, we present a new record for the densest geodesic congruent ball packing configurations in geometry, generated by screw motion grou…
Interior angle sums of geodesic triangles and translation-like isoptic surfaces in Sol geometry
Géza Csima, Jenő Szirmai
After having investigated the geodesic triangles and their angle sums in Nil and geometries we consider the analogous problem in Sol space that is one of the e…
Geodesic ball packings generated by rotations and monotonicity behavior of their densities in space
Arnasli Yahya, Jenő Szirmai
After having investigated several types of geodesic ball packings in space, in this paper we study the locally optimal geodesic of simply and multi…