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The kissing numbers of tetrahedra
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  • Published: March 1996

The kissing numbers of tetrahedra

  • Chuanming Zong1,2 

Discrete & Computational Geometry volume 15, pages 239–252 (1996)Cite this article

Abstract

We determine the lattice kissing numbers of tetrahedra, by which we disprove a conjecture by Grünbaum. At the same time, we present a strange phenomenon concerning kissing numbers and packing densities of tetrahedra.

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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 article is based upon part of the author's Ph.D. thesis which was supported by the Austrian Academic Exchange Service.

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Cite this article

Zong, C. The kissing numbers of tetrahedra. Discrete Comput Geom 15, 239–252 (1996). https://doi.org/10.1007/BF02711493

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  • Received: 29 August 1994

  • Issue Date: March 1996

  • DOI: https://doi.org/10.1007/BF02711493

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Keywords

  • Interior Point
  • Convex Body
  • Discrete Comput Geom
  • Lattice Packing
  • Strange Phenomenon
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