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math.MG2021★ 9 cited
Density of binary disc packings: lower and upper bounds
Thomas Fernique
We provide, for any , lower and upper bounds on the maximal density of a packing in the Euclidean plane of discs of radius and . The lower bounds are mostly folk…
math.MG2021★ 1 cited
Compact Packings are not always the Densest
Thomas Fernique, Daria Pchelina
We provide a counterexample to a conjecture by B. Connelly about density of circle packings