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math.CO2022
On Tomaszewski's Cube Vertices Problem
Yiming Li, Yuqin Zhang, Miao Fu
The following assertion was equivalent to a conjecture proposed by B. Tomaszewski : Let be an -dimensional unit cube and let be a plank of thickness , both are center…
math.MG2022★ 2 cited
Lower Bound on Translative Covering Density of Tetrahedra
Yiming Li, Miao Fu, Yuqin Zhang
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 t…