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Revisiting the hexagonal lattice: on optimal lattice circle packing

Revisiting the hexagonal lattice: on optimal lattice circle packing

In this note we give a simple proof of the classical fact that the hexagonal lattice gives the highest density circle packing among all lattices in R 2 . With the benet of hindsight, we show that the problem can be restricted to the important class of well-rounded lattices, on …