IntroductionThe problem at hand is that of packing a set of N circles (hereinafter called items) of unitary radius in a fixed-shaped figure (denominated object) while minimizing the latter's dimensions. Throughout this work, several geometric forms were treated, viz. circle, square, rectangle, triangle and strip, which is defined as a rectangle that has got one of its dimensions fixed. This page shows numerical results and visual solutions for the problems considered in: E. G. Birgin and J. M. Gentil, "New and improved results for packing identical unitary radius circles within triangles, rectangles and strips", Computers & Operations Research 37, pp. 1318-1327, 2010. [Abstract] [pdf] Unitary radius circlesThe objects considered here are: circle, square, strip, equilateral triangle and rectangle.
mp desired-file.mp A file named desired-file.1 (an EPS file) will be created. Rename it to figure.1. Now you have to include this recently created file into a TeX file. Download the file figures.tex. Then type latex figures.tex dvips figures.dvi -o figures.ps Now type gv figures.ps to see the desired solution. |