Lower Bound on Translative Covering Density of Octahedron
Metric Geometry
2023-04-18 v1
Abstract
In this paper, we present the first nontrivial lower bound on the translative covering density of octahedron. To this end, we show the lower bound, in any translative covering of octahedron, on the density relative to a given parallelehedron. The resulting lower bound on the translative covering density of octahedron is .
Cite
@article{arxiv.2304.07833,
title = {Lower Bound on Translative Covering Density of Octahedron},
author = {Yiming Li and Yanlu Lian and Miao Fu and Yuqin Zhang},
journal= {arXiv preprint arXiv:2304.07833},
year = {2023}
}