Variations on Five-Dimensional Sphere Packings
Abstract
Abstract We analyze Szöllősi’s recent construction of a conjecturally optimal five-dimensional kissing configuration and produce a new such configuration, the fourth to be discovered. We construct five-dimensional sphere packings from these configurations, which augment Conway and Sloane’s list of conjecturally optimal packings. We also construct a new kissing configuration in nine dimensions. None of these constructions improves on the known records, but they provide geometrically distinct constructions achieving these records.
Fields of Study & Subjects
Computational Geometry and Mesh Generation
Advanced Materials and Mechanics
Structural Analysis and Optimization
Publication details
- Journal / source
- Discrete & Computational Geometry
- Publisher
- Springer Science and Business Media LLC
- Volume
- 76
- Issue
- 3
- Pages
- 1660-1678
- Publication date
- 4 July 2026
- Language
- EN