Lower Bound on Translative Covering Density of Tetrahedra
Yiming Li, Miao Fu, Yuqin Zhang
Published: 2022/6/27
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 $1+1.227\times10^{-3}$.