3 citations · 3 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
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…
On Problem of Best Circle to Discontinuous Groups in Hyperbolic Plane
Arnasli Yahya
The aim of this paper is to describe the largest inscribed circle into the fundamental domains of a discontinuous group in Bolyai-Lobachevsky hyperbolic plane. We give some known b…
Visualization of sphere and horosphere packings related to Coxeter tilings generated by simply truncated orthoschemes with parallel faces
Arnasli Yahya, Jenő Szirmai
In this paper, we describe and visualize the densest ball and horoball packing configurations belonging to the simply truncated -dimensional hyperbolic Coxeter orthoschemes with…
Optimal ball and horoball packings generated by -dimensional simply truncated Coxeter orthoschemes with parallel faces
Arnasli Yahya, Jenő Szirmai
In this paper we consider the ball and horoball packings belonging to -dimensional Coxeter tilings that are derived by simply truncated orthoschemes with parallel faces. The goa…