How to build a barricade |
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| Authors: | P. Frankl J. Pach V. Rödl |
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| Affiliation: | (1) CNRS, 15 Quai Anatole France, F-75007 Paris, France;(2) Mathematical Institute of the Hungarian Academy of Sciences, Pf 127, H-1364 Budapest;(3) Department of Mathematics, FJFI !["Ccaron"]("/content/q20402l764t06583/xlarge268.gif") VUT, 11000 Praha 1, Czechoslovakia |
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| Abstract: | ![]()
Given a packing of congruent copies of a strictly convex planar setC in a parallel stripS of widthw and a straight linel, let |l | denote the sum of the lengths of the segmentslCi over alli I It is proved thatWhere  (C) is the density of the densest packing of congruent copies ofC in the plane. Some generalizations are also considered. |
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