A051659 Experimental values for maximal number of "loose" circles in packing equal circles into a square.

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

Offset: 1

Author

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

Keywords

• nonn

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 Patric R. J. Östergård, Packing up to 50 equal circles in a square, Discrete Comput. Geom. 18 (1997) 1, p. 111-120.
• E. Specht, www.packomania.com

Extensions

I do not know how many of these values have been rigorously proved. - N. J. A. Sloane