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Close-packing of equal spheres

In geometry, close-packing of equal spheres is a dense arrangement of congruent spheres in an infinite, regular arrangement (or lattice). Carl Friedrich Gauss proved that the highest average density – that is, the greatest fraction of space occupied by spheres – that can be achieved by a lattice packing is π 3 2 ≈ 0.74048 {\textstyle {\frac {\pi…

FCC and HCP lattices, Filling the remaining space & Lattice generation

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FCC and HCP lattices

Lattice generation

Miller indices

Filling the remaining space

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Close-packing of equal spheres

Nodes40
Edges39
Triples1
Avg. degree1.95
Density0.05
Components1

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Close-packing of equal spheres

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Close-packing of equal spheres → dense arrangement of congruent spheres in an infinite

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Important terminology

spheres sphere fcc first hcp centers two packing lattice row one density octahedral tetrahedral arrangement highest 2r equal planes arrangements

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Close-packing of equal spheresis adense arrangement of congruent spheres in an infinite0.90text

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