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A051659 Experimental values for maximal number of "loose" circles in packing equal circles into a square. +0
1
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 4, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 4, 3, 1 (list; graph; listen)
OFFSET

1,11

REFERENCES

H. T. Croft, K. J. Falconer and R. K. Guy: Unsolved problems in geometry, Springer, New York, 1991.

LINKS

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

CROSSREFS

Sequence in context: A167271 A156348 A101614 this_sequence A085861 A077266 A129561

Adjacent sequences: A051656 A051657 A051658 this_sequence A051660 A051661 A051662

KEYWORD

nonn

AUTHOR

Eckard Specht (eckard.specht(AT)physik.uni-magdeburg.de)

EXTENSIONS

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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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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