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Search: id:A051658
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| A051658 |
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Experimental values for maximal number of contacts between equal circles and the box that are packed into a square. |
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+0
1
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| 4, 5, 7, 12, 12, 13, 14, 20, 24, 21, 20, 25, 25, 32, 36, 40, 34, 38, 37, 44, 39, 43, 56, 56, 60, 56, 55, 57, 65, 65, 55, 63, 65, 80, 80, 84, 77, 77, 80, 85, 100, 90, 85, 82, 94, 91, 94, 111, 120, 100, 97, 105, 110, 115, 113, 119, 113
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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H. T. Croft, K. J. Falconer and R. K. Guy: Unsolved problems in geometry, Springer, New York, 1991.
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LINKS
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D. Boll, Optimal Packing Of Circles And Spheres
E. Friedman, Erich's Packing Center
C. D. Maranas, C. A. Floudas and P. M. Pardalos, New results in the packing of equal circles in a square, Discrete Mathematics 142 (1995), p. 287-293.
K. J. Nurmela and P.R. J. Ostergard, Packing up to 50 equal circles in a square, Discrete Comput. Geom. 18 (1997) 1, p. 111-120.
E. Specht, www.packomania.com
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CROSSREFS
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Sequence in context: A080327 A062709 A129302 this_sequence A047491 A064401 A079337
Adjacent sequences: A051655 A051656 A051657 this_sequence A051659 A051660 A051661
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KEYWORD
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nonn
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AUTHOR
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Eckard Specht (eckard.specht(AT)physik.uni-magdeburg.de)
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EXTENSIONS
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I do not know how many of these values have been rigorously proved - N. J. A. Sloane (njas(AT)research.att.com).
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