The simultaneous lattice packing-covering constant of octahedra
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 𝔼 3 and rO + Λ is a covering of 𝔼 3 .
Authors
- Yiming Li (ORCID: https://orcid.org/0000-0003-4602-3905)
- Chuanming Zong (ORCID: https://orcid.org/0000-0003-1063-5918)
Institutions
- Tianjin University (CN)
Publication Details
- Journal
- Advances in Geometry
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1515/advgeom-2025-0007
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00