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

Jenö Szirmai

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

Metric Geometry 2013-12-10 v1

Authors: Jenö Szirmai

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.

Keywords

hyperball covering regular prism tilings hyperbolic space density dual covering problems hyperbolic geometry

Cite

@article{arxiv.1312.2328,
  title  = {The least dense hyperball covering to the regular prism tilings in the hyperbolic $n$-space},
  author = {Jenö Szirmai},
  journal= {arXiv preprint arXiv:1312.2328},
  year   = {2013}
}

Comments

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

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