Dense Crystalline Dimer Packings of Regular Tetrahedra

Engel M, Glotzer SC, Chen ER (2010)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Discrete & Computational Geometry Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 44

Pages Range: 253-280

Journal Issue: 2

DOI: 10.1007/s00454-010-9273-0

Abstract

We present the densest known packing of regular tetrahedra with density phi = 4000/4671 = 0.856341 .... Like the recently discovered packings of Kallus et al. and Torquato-Jiao, our packing is crystalline with a unit cell of four tetrahedra forming two triangular dipyramids (dimer clusters). We show that our packing has maximal density within a three-parameter family of dimer packings. Numerical compressions starting from random configurations suggest that the packing may be optimal at least for small cells with up to 16 tetrahedra and periodic boundaries.

Authors with CRIS profile

Michael Engel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

University of Michigan US United States (USA) (US)

How to cite

APA:

Engel, M., Glotzer, S.C., & Chen, E.R. (2010). Dense Crystalline Dimer Packings of Regular Tetrahedra. Discrete & Computational Geometry, 44(2), 253-280. https://doi.org/10.1007/s00454-010-9273-0

MLA:

Engel, Michael, Sharon C. Glotzer, and Elizabeth R. Chen. "Dense Crystalline Dimer Packings of Regular Tetrahedra." Discrete & Computational Geometry 44.2 (2010): 253-280.

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