Sphere packing in dimension 8
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:geometry
discrete mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Sphere packing in dimension 8
|
| gptkbp:notableFor |
uniqueness of E8 lattice as densest packing
use of modular forms in proof first sphere packing problem solved in dimension higher than 3 |
| gptkbp:optimal_density |
π⁴/384 ≈ 0.25367
|
| gptkbp:optimal_packing |
gptkb:E8_lattice
|
| gptkbp:relatedTo |
gptkb:E8_lattice
gptkb:Leech_lattice gptkb:kissing_number_problem Fourier analysis modular forms lattice packing sphere packing non-lattice packing sphere packing in dimension 24 universal optimality |
| gptkbp:solutionYear |
2016
|
| gptkbp:solvedBy |
gptkb:Maryna_Viazovska
|
| gptkbp:bfsParent |
gptkb:Maryna_Viazovska
|
| gptkbp:bfsLayer |
4
|