Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
coding theory
communications crystallography materials science |
| gptkbp:concerns |
arrangement of non-overlapping spheres
|
| gptkbp:dimensions |
gptkb:n-dimensional_Euclidean_space
|
| gptkbp:field |
gptkb:geometry
discrete mathematics |
| gptkbp:first_formulated |
1611
|
| gptkbp:goal |
maximize density
|
| https://www.w3.org/2000/01/rdf-schema#label |
sphere packing problem
|
| gptkbp:notable_proof |
8 and 24 dimensions solved by Maryna Viazovska in 2016
Kepler conjecture proved by Thomas Hales in 1998 |
| gptkbp:notableCase |
gptkb:Kepler_conjecture
gptkb:kissing_number_problem |
| gptkbp:notablePerson |
gptkb:Johannes_Kepler
gptkb:Maryna_Viazovska gptkb:Thomas_Hales |
| gptkbp:relatedTo |
lattice packing
packing density random packing sphere covering problem |
| gptkbp:solved_in_dimension |
2
1 24 3 8 |
| gptkbp:bfsParent |
gptkb:Minkowski–Hlawka_theorem
gptkb:kissing_number_problem |
| gptkbp:bfsLayer |
6
|