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An example concerning the translative kissing number of a convex body

  • Published: 06 September 2005
  • Volume 12, pages 183–188 (1994)
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An example concerning the translative kissing number of a convex body
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  • Chuanming Zong1,2 
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  • 4 Citations

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Abstract

This article presents a class of convex bodies inE d (d≥3) where their maximum kissing numbers in translative packings are larger than their maximum kissing numbers in lattice packings.

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References

  1. J. H. Conway and N. J. A. Sloane,Sphere Packings, Lattices and Groups, Springer-Verlag, New York, 1988.

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  2. H. Groemer, Abschätzungen für die Anzahl der konvexen Körper, die einen konvexen Körper berühren,Monatsh. Math. 65 (1961), 74–81.

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  3. B. Grünbaum, On a conjecture of H. Hadwiger.Pacific J. Math. 11 (1961), 215–219.

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  4. G. L. Watson, The number of minimum points of a positive quadratice form,Dissertationes Math. 84 (1971), 1–42.

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Author information

Authors and Affiliations

  1. Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Wiedner Hauptstrasse 8-10, A-1040, Wien, Austria

    Chuanming Zong

  2. Institute of Mathematics, The Chinese Academy of Sciences, 100080, Beijing, People’s Republic of China

    Chuanming Zong

Authors
  1. Chuanming Zong
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Additional information

This work was supported by the Austrian Academic Exchange Service.

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Cite this article

Zong, C. An example concerning the translative kissing number of a convex body. Discrete Comput Geom 12, 183–188 (1994). https://doi.org/10.1007/BF02574374

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  • Received: 14 July 1993

  • Revised: 29 December 1993

  • Published: 06 September 2005

  • Issue date: July 1994

  • DOI: https://doi.org/10.1007/BF02574374

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Keywords

  • Quadratice Form
  • Convex Body
  • Minimum Point
  • Discrete Comput Geom
  • Convex Domain

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