Compact Packings are not always the Densest

Abstract

We provide a counterexample to a conjecture by B. Connelly about density of circle packings

arXiv comment2 pages, SageMath code included in source (file 110.sage)

References in corpus (3)

• A densest compact planar packing with two sizes of discs
• A Densest ternary circle packing in the plane
• Density of Binary Disc Packings: The 9 Compact Packings

Cited by in corpus (1)

• Density of Binary Disc Packings: The 9 Compact Packings