4 papers
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries
JenÅ 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, JenŠSzirmai
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, JenÅ Szirmai
In this paper, we present a new record for the densest geodesic congruent ball packing configurations in geometry, generated by screw motion grou…
Geodesic ball packings generated by rotations and monotonicity behavior of their densities in space
Arnasli Yahya, JenÅ 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…