中文

四面体平移覆盖密度的下界

度量几何 2025-09-16 v1

摘要

在本文中,我们给出四面体平移覆盖密度的首个非平凡下界。为此,我们给出任意四面体平移覆盖中关于给定立方体密度的下界。所得四面体平移覆盖密度的下界为 1+1.227×1031+1.227\times10^{-3}

关键词

引用

@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}
}