3 papers
math.CO2025
The Simultaneous Lattice Packing-Covering Constant of Octahedra
Yiming Li, Chuanming Zong
This paper proves that the simultaneous lattice packing-covering constant of an octahedron is . In other words, is the smallest positive number such that for every o…
math.MG2025
On Generalized Kissing Numbers of Convex Bodies (II)
Yiming Li, Chuanming Zong
In 1694, Gregory and Newton discussed the problem to determine the kissing number of a rigid material ball. This problem and its higher dimensional generalization have been studied…
math.MG2024
On Generalized Kissing Numbers of Convex Bodies
Yiming Li, Chuanming Zong
In 1694, Gregory and Newton proposed the problem to determine the kissing number of a rigid material ball. This problem and its higher dimensional generalization have been studied…