1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.MG2026
The lattice covering density of the regular octahedron
Yanlu Lian, Fei Xue
We prove that the lattice covering density of the regular octahedron is , settling a conjecture of Dougherty and Faber.
math.MG2026
Minimal Covering Bodies and a Minkowski-Type Criterion for Lattice Coverings
Yanlu Lian, Fei Xue
We study convex bodies whose translates by a fixed lattice cover space and for which every proper convex subbody loses this property. In three dimensions, the convex hull of indepe…
math.MG2015★ 1 cited
On Lattice Coverings by Simplices
Fei Xue, Chuanming Zong
By studying the volume of a generalized difference body, this paper presents the first nontrivial lower bound for the lattice covering density by -dimensional simplices.