Year: 2025
Type: article
Abstract: This paper proves that the simultaneous lattice packing-covering constant of an octahedron is 7/6. In other words, 7/6 is the smallest positive number r such that for every octahedron O centered at the origin there is a lattice Λ such that O + Λ is a packing in 𝔼3 and rO + Λ is a covering of 𝔼3.
Source: Advances in Geometry
Authors: Yiming Li, Chuanming Zong
Institution: Tianjin University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1157120655, G2245778657, G4800798109
OpenAlex ID: W4410505309