Densest packings of typical convex sets are not lattice-like-Reference-Cited by-同舟云学术

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Densest packings of typical convex sets are not lattice-like

Published:1995-07 Issue:1 Volume:14 Page:1-8
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete & Computational Geometry

Author:

Tóth G. Fejes

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/BF02570693.pdf

Reference9 articles.

1. Colloquia Mathematica Societates János Bolyai;G. Fejes Tóth,1994

2. L. Fejes Tóth, Some packing and covering theorems,Acta Sci. Math. (Szeged) 12A (1950), 62–67.

3. P. M. Gruber, Typical convex bodies have surprisingly few neighbours in densest lattice packings,Studia Sci. Math. Hungar. 21 (1986), 163–173.

4. P. M. Gruber, Baire categories in convexity,Handbook of Convex Geometry (P. M. Gruber and J. M. Wills, eds.), North-Holland, Amsterdam, 1993, pp. 1327–1346.

5. B. Grünbaum and G. C. Shephard,Tilings and Patterns, Freeman, San Francisco, 1987.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Packing, covering and tiling in two-dimensional spaces;Expositiones Mathematicae;2014

2. Dense Regular Packings of Irregular Nonconvex Particles;Physical Review Letters;2011-10-03

3. Finite packing and covering by congruent convex domains;Discrete & Computational Geometry;2003-07-10

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