DOI: 10.1007/s00454-010-9254-3. Dense Periodic Packings of Tetrahedra with Small Repeating Units

Dense Periodic Packings of Tetrahedra with Small Repeating Units

10.1007/s00454-010-9254-3

Crossref journal-article

Springer Science and Business Media LLC

Discrete & Computational Geometry (297)

Bibliography

Kallus, Y., Elser, V., & Gravel, S. (2010). Dense Periodic Packings of Tetrahedra with Small Repeating Units. Discrete & Computational Geometry, 44(2), 245â252.

Authors 3

Yoav Kallus (first)
Veit Elser (additional)
Simon Gravel (additional)

References 11 Referenced 48

Agrell, E., et al.: Closest point search in lattices. IEEE Trans. Inf. Theory 48, 2201 (2002) (10.1109/TIT.2002.800499) / IEEE Trans. Inf. Theory by E. Agrell (2002)
Chen, E.R.: A dense packing of regular tetrahedra. Discrete Comput. Geom. 5(2), 214 (2008) (10.1007/s00454-008-9101-y) / Discrete Comput. Geom. by E.R. Chen (2008)
Conway, J.H., Torquato, S.: Packing, tiling and covering with tetrahedra. Proc. Natl. Acad. Sci. USA 103, 10612 (2006) (10.1073/pnas.0601389103) / Proc. Natl. Acad. Sci. USA by J.H. Conway (2006)
Danzer, L.A.: A family of 3D-spacefillers not permitting any periodic or quasiperiodic tiling. In: Chapuis, G., Paciorek, W. (eds.) Aperiodic’94, pp. 11–17. World Scientific, Singapore (1994) / Aperiodic’94 by L.A. Danzer (1994)
Gravel, S., Elser, V.: Divide and concur: a general approach to constraint satisfaction. Phys. Rev. E 78, 036706 (2008) (10.1103/PhysRevE.78.036706) / Phys. Rev. E by S. Gravel (2008)
Haji-Akbari, A., Engel, M., et al.: Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra. Nature 462, 773 (2009) (10.1038/nature08641) / Nature by A. Haji-Akbari (2009)
Hoylman, D.J.: The densest lattice packing of tetrahedra. Bull. Am. Math. Soc. 76, 135 (1970) (10.1090/S0002-9904-1970-12400-4) / Bull. Am. Math. Soc. by D.J. Hoylman (1970)
Kuperberg, G., Kuperberg, W.: Double-lattice packings of convex bodies in the plane. Discrete Comput. Geom. 5(1), 389 (1990) (10.1007/BF02187800) / Discrete Comput. Geom. by G. Kuperberg (1990)
Mermin, N.D.: The space groups of icosahedral quasicrystals and cubic, orthorhombic, monoclinic, and triclinic crystals. Rev. Mod. Phys. 64, 3 (1992) (10.1103/RevModPhys.64.3) / Rev. Mod. Phys. by N.D. Mermin (1992)
Torquato, S., Jiao, Y.: Dense packings of polyhedra: Platonic and Archimedean solids. Phys. Rev. E 80, 041104 (2009) (10.1103/PhysRevE.80.041104) / Phys. Rev. E by S. Torquato (2009)
Torquato, S., Jiao, Y.: Dense packings of the Platonic and Archimedean solids. Nature 460, 876 (2009) (10.1038/nature08239) / Nature by S. Torquato (2009)

Dates

Type	When
Created	15 years, 5 months ago (March 1, 2010, 7:06 p.m.)
Deposited	6 years, 3 months ago (May 28, 2019, 7:50 p.m.)
Indexed	2 months, 3 weeks ago (June 10, 2025, 11:04 a.m.)
Issued	15 years, 5 months ago (March 3, 2010)
Published	15 years, 5 months ago (March 3, 2010)
Published Online	15 years, 5 months ago (March 3, 2010)
Published Print	15 years ago (Sept. 1, 2010)

Funders 0

None

BibTeX

@article{Kallus_2010, title={Dense Periodic Packings of Tetrahedra with Small Repeating Units}, volume={44}, ISSN={1432-0444}, url={http://dx.doi.org/10.1007/s00454-010-9254-3}, DOI={10.1007/s00454-010-9254-3}, number={2}, journal={Discrete & Computational Geometry}, publisher={Springer Science and Business Media LLC}, author={Kallus, Yoav and Elser, Veit and Gravel, Simon}, year={2010}, month=mar, pages={245–252} }

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