Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
sphere packing
densest packing of spheres |
| gptkbp:density |
approximately 74.048%
|
| gptkbp:field |
gptkb:geometry
discrete geometry |
| gptkbp:formedBy |
gptkb:Johannes_Kepler
1611 |
| https://www.w3.org/2000/01/rdf-schema#label |
Kepler conjecture
|
| gptkbp:proofVerifiedBy |
gptkb:Flyspeck_project
|
| gptkbp:proofVerifiedInYear |
2014
|
| gptkbp:provenBy |
gptkb:Thomas_Hales
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:sphere_packing_problem
gptkb:face-centered_cubic_packing gptkb:hexagonal_close_packing |
| gptkbp:state |
No arrangement of equally sized spheres filling space has a greater average density than that of the face-centered cubic packing.
|
| gptkbp:yearProved |
1998
|
| gptkbp:bfsParent |
gptkb:Sphere_packing_problem
gptkb:Ulam's_packing_conjecture |
| gptkbp:bfsLayer |
6
|