3 papers
math.MG2025
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…
math.MG2021
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…
math.MG2021
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…