cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A051658 Experimental values for maximal number of contacts between equal circles and the box that are packed into a square.

This page as a plain text file.
%I A051658 #21 Aug 26 2020 09:32:17
%S A051658 4,5,7,12,12,13,14,20,24,21,20,25,25,32,36,40,34,38,37,44,39,43,56,56,
%T A051658 60,56,55,57,65,65,55,63,65,80,80,84,77,77,80,85,100,90,85,82,94,91,
%U A051658 94,111,120,100,97,105,110,115,113,119,113
%N A051658 Experimental values for maximal number of contacts between equal circles and the box that are packed into a square.
%D A051658 H. T. Croft, K. J. Falconer and R. K. Guy: Unsolved problems in geometry, Springer, New York, 1991.
%H A051658 D. Boll, <a href="https://web.archive.org/web/20030211053857/http://www.frii.com/~dboll/packing.html">Optimal Packing Of Circles And Spheres</a>
%H A051658 L. G. Casado, I. García, P. G. Szabó, and T. Csendes, <a href="http://www.inf.u-szeged.hu/~pszabo/Pub/18pack2.pdf">Packing Equal Circles in a Square II. - New Results for up to 100 Circles Using the TAMSASS-PECS Algorithm</a>, Optimization Theory: Recent Developments from Mátraháza, Kluwer Academic Publishers, Dordrecht, 2001, pp. 207-224.
%H A051658 E. Friedman, <a href="https://erich-friedman.github.io/packing/index.html">Erich's Packing Center</a>
%H A051658 C. D. Maranas, C. A. Floudas and P. M. Pardalos, <a href="https://doi.org/10.1016/0012-365x(93)e0230-2">New results in the packing of equal circles in a square</a>, Discrete Mathematics 142 (1995), p. 287-293.
%H A051658 K. J. Nurmela and Patric R. J. Östergård, <a href="https://doi.org/10.1007/PL00009306">Packing up to 50 equal circles in a square</a>, Discrete Comput. Geom. 18 (1997) 1, p. 111-120.
%H A051658 E. Specht, <a href="http://www.packomania.com/">www.packomania.com</a>
%H A051658 P. G. Szabó, <a href="https://web.archive.org/web/20071213183047/http://www.inf.u-szeged.hu/~pszabo/Pack.html">Packing up to 100 circles in a square</a>.
%H A051658 P. G. Szabó, T. Csendes, L. G. Casado, and I. García, <a href="http://www.inf.u-szeged.hu/~pszabo/Pub/17pack1.pdf">Packing Equal Circles in a Square I. - Problem Setting and Bounds for Optimal Solutions</a>, Optimization Theory: Recent Developments from Mátraháza, Kluwer Academic Publishers, Dordrecht, 2001, pp. 191-206.
%K A051658 nonn
%O A051658 1,1
%A A051658 Eckard Specht (eckard.specht(AT)physik.uni-magdeburg.de)
%E A051658 I do not know how many of these values have been rigorously proved. - _N. J. A. Sloane_