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A Dense Packing of Regular Tetrahedra
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  • Published: 22 August 2008

A Dense Packing of Regular Tetrahedra

  • Elizabeth R. Chen1 

Discrete & Computational Geometry volume 40, pages 214–240 (2008)Cite this article

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Abstract

We construct a dense packing of regular tetrahedra, with packing density D>.7786157.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    Elizabeth R. Chen

Authors
  1. Elizabeth R. Chen
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Corresponding author

Correspondence to Elizabeth R. Chen.

Additional information

This research was partially supported by the NSF-RTG grant DMS-0502170.

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Chen, E.R. A Dense Packing of Regular Tetrahedra. Discrete Comput Geom 40, 214–240 (2008). https://doi.org/10.1007/s00454-008-9101-y

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  • Received: 01 January 2007

  • Revised: 09 July 2008

  • Accepted: 09 July 2008

  • Published: 22 August 2008

  • Issue Date: September 2008

  • DOI: https://doi.org/10.1007/s00454-008-9101-y

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Keywords

  • Crystallography
  • Packing
  • Regular solid
  • Hilbert problem
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