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arXiv · 2304.07833

Lower Bound on Translative Covering Density of Octahedron

Yiming Li·Yanlu Lian·Miao Fu·Yuqin Zhang
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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 $1+6.6\times10^{-8}$.

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Yiming Li, Yanlu Lian, Miao Fu, Yuqin Zhang. 2023-04-16. Lower Bound on Translative Covering Density of Octahedron. https://arxiv.org/abs/2304.07833

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