2 papers
math.MG2023
Lower Bound on Translative Covering Density of Octahedron
Yiming Li, Yanlu Lian, Miao Fu +1
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 o…
math.MG2023
Classification and enumeration of lattice polygons in a disc
Qiuyue Liu, Yuqin Zhang, Zhanyuan Cai
In 1980, V. I. Arnold studied the classification problem for convex lattice polygons of given area. Since then, this problem and its analogues have been studied by many authors, in…