Lower Bound on Translative Covering Density of Tetrahedra
Metric Geometry
2025-09-16 v1
Abstract
In this paper, we present the first nontrivial lower bound on the translative covering density of tetrahedra. To this end, we show the lower bound, in any translative covering of tetrahedra, on the density relative to a given cube. The resulting lower bound on the translative covering density of tetrahedra is .
Cite
@article{arxiv.2206.13252,
title = {Lower Bound on Translative Covering Density of Tetrahedra},
author = {Yiming Li and Miao Fu and Yuqin Zhang},
journal= {arXiv preprint arXiv:2206.13252},
year = {2025}
}