Compact Packings are not always the Densest

2021/04/26 by Thomas Fernique, Fernique, Thomas, Daria Pchelina +1
Mathematics · #52C15 #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2104.12458

openalex publication_date 2021/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• A Densest ternary circle packing in the plane

Cited by

• Density of Binary Disc Packings: The 9 Compact Packings

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• Density of Binary Disc Packings: The 9 Compact Packings
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