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math.MG2023
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…
math.MG2023
Optimal Ball and Horoball Packings Generated by Simply Truncated Coxeter Orthoschemes with Parallel Faces in Hyperbolic -space for
Arnasli Yahya, Jenő Szirmai
After investigating the -dimensional case [35], we continue to address and close the problems of optimal ball and horoball packings in truncated Coxeter orthoschemes with parall…
math.MG2023
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…