Abstract

In this paper, we study regular prism tilings and corresponding least dense hyperball coverings in $$n$$ -dimensional hyperbolic space $$\mathbb {H}^n$$ $$(n=3,4,5)$$ by congruent hyperballs. We determine the densities of the least dense hyperball coverings, we formulate two conjectures for the candidates of the least dense hyperball coverings by congruent hyperballs in 3- and 5-dimensional hyperbolic spaces.

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