The least dense hyperball covering to the regular prism tilings in the hyperbolic $n$-space

Abstract

After having investigated the densest packings by congruent hyperballs to the regular prism tilings in the $n$-dimensional hyperbolic space ${\mathbb{H}}^n$ ($n\in \mathbb{N},n\ge 3)$ we consider the dual covering problems and determine the least dense hyperball arrangements and their densities.

18 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1306.4221

References in corpus (2)

• On volumes of arithmetic quotients of PO(n,1), n odd
• The three smallest compact arithmetic hyperbolic 5-orbifolds