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A stability property of the densest circle packing

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Abstract

A new stability property of the densest circle packing in the plane is proved. This property is related to a conjecture ofL. Fejes Tóth.

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References

  1. Bezdek, A., Connelly, R.: Uniformly rigid circle packings. Manuscript.

  2. Fejes Tóth, L.: Lagerungen in der Ebene, auf der Kugel und im Raum. Berlin: Springer. 1953.

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  3. Fejes Tóth, L.: Solid circle packings and circle coverings. Studia Sci. Math. Hung.3, 401–409 (1968).

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  4. Thue, A.: Über die dichteste Zusammenstellung von kongruenten Kreisen in einer Ebene. Christ. Vid. Selsk. Skr.1, 3–9 (1910).

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, P.O.B. 127, H-1364, Budapest, Hungary

    Imre Bárány

  2. Steklov Institute of Mathematics, 42 Vavilov, 117333, Moscow, U.S.S.R

    N. P. Dolbilin

Authors
  1. Imre Bárány
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  2. N. P. Dolbilin
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Additional information

Research of this author was partially supported by Hungarian National Foundation for Scientific Research grant no. 1812.

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Bárány, I., Dolbilin, N.P. A stability property of the densest circle packing. Monatshefte für Mathematik 106, 107–114 (1988). https://doi.org/10.1007/BF01298832

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  • DOI: https://doi.org/10.1007/BF01298832

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