1 citations · 1 across the 4 of their papers we have counts for
4 papers
New Lattices with Unexpected Shallow Deep Holes
Yiming Li, Chuanming Zong
Among lattices normalized to have packing radius one, the known shallowest depths of the deep holes in -, -, - and -dimensional lattices are , , $\…
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…
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…
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…