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math.MG2025
On Dense Tetrahedra in Binary Sphere Packings
Thomas Fernique, Daria Pchelina
This paper considers the density of tetrahedra arising in a specific decomposition of packings of unequal spheres in . It aims to extend a bound obtained in 2D in the…
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