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Authors: Vojtech Bálint, Vojtech Bálint and Pavel Novotný

Ament P., Blind G. Packing equal circles in a square, Studia. Sci. Math. Hungar , Vol. 36, 2000, pp. 313–316. Blind G. Packing equal circles

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NURMELA, K. J. and ÖSTERGÅRD, P. R. J., Packing up to 50 equal circles in a square, Discrete Comput. Geom. 18 (1997), 111-120. MR 98e :52020 Packing up to 50 equal circles in a square

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Böröczky, K. , Jr. , Finite packing and covering , Cambridge Tracts in Mathematics 154 , Cambridge University Press, Cambridge, 2004. MR 2005g :52045

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Abstract  

An equilateral triangle T e of sides 1 can be parallel covered with any sequence of squares whose total area is not smaller than 1:5. Moreover, any sequence of squares whose total area does not exceed

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\frac{3} {4}(2 - \sqrt 3 )$$ \end{document}
(2 − √3) can be parallel packed into T e.

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References [1] Bezdek , K. 2006 Sphere packings revisited European Journal of Combinatorics 27

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effects of coil packing density on cerebral aneurysm fluid dynamics: an in vitro steady flow study Ann Biomed Eng 38 7 2293 2301

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Authors: D. Evans, P. Kennedy and A. Bergh

Abstract  

Neutron activation analyses of ground samples of safe-packing insulation have shown that dust from different sources may be differentiated by trace element content. Between 10 and 20 elements were identified in each of 54 samples, and comparison of the activation “fingerprints” offers a good prospect for positively or negatively matching two or more samples.

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. The Scottish Book 1981 Böröczky, K., Jr. , Finite packing and covering, Cambridge Tracts in Mathematics

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Abstract  

A set of closed unit disks in the Euclidean plane is said to be double-saturated packing if no two disks have inner points in common and any closed unit disk intersects at least two disks of the set. We prove that the density of a double saturated packing of unit disks is ≥

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\geqslant \pi /\sqrt {27}$$ \end{document}
and the lower bound is attained by the family of disks inscribed into the faces of the regular triangular tiling.

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