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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:Physics
gptkb:Crystallography
Information theory
Materials science
Communications
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gptkbp:category
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mathematical optimization
Geometric problems
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gptkbp:concerns
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Arrangement of non-overlapping spheres
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gptkbp:dimensions
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gptkb:n-dimensional_Euclidean_space
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gptkbp:field
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gptkb:geometry
Combinatorics
Discrete mathematics
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gptkbp:goal
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Maximize density of packed spheres
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https://www.w3.org/2000/01/rdf-schema#label
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Sphere packing problem
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gptkbp:notableAchievement
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E8 lattice (8 dimensions)
Leech lattice (24 dimensions)
Viazovska's solution in 8 and 24 dimensions
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gptkbp:notableCase
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gptkb:Kepler_conjecture
gptkb:Kissing_number_problem
Lattice sphere packing
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gptkbp:notablePerson
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gptkb:Carl_Friedrich_Gauss
gptkb:Johannes_Kepler
gptkb:Maryna_Viazovska
gptkb:Thomas_Hales
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gptkbp:open_problem
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General solution in higher dimensions
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gptkbp:relatedTo
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gptkb:Error-correcting_codes
Coding theory
Optimization
Covering problem
Lattice packing
Packing density
Packing problems
Random packing
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gptkbp:solved_in
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3 dimensions (Kepler conjecture)
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gptkbp:solvedBy
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gptkb:Thomas_Hales
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gptkbp:year_solved_(3D)
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1998
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gptkbp:year_solved_(8D,_24D)
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2016
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gptkbp:bfsParent
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gptkb:Discrete_geometry
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gptkbp:bfsLayer
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5
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