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A part of this story begins with Johannes Kepler and his conjecture, proved only recently as the Hilbert's 18th problem's solution, how to optimally pack cannon balls in a presumably infinite space. It turned out, that the best way was in fact discovered by soldiers, even long before Kepler. http://www.math.pitt.edu/articles/cannonOverview.html

If the space isn't unlimited, what usually isn't, a large set of newly opened problems spring. Many of them solved, even many more, unsolved to this day. Often, we have a reasonably good solution for which nobody knows if it is in fact the best or if it is not. Despite that solutions are often "the best known so far", a huge academic and hobbyist community is out there in a search for ever better, more dense ways, to pack bodies and shapes inside some larger bodies and shapes. Books, papers and Internet sites are devoted for this quest of tide packing. Not only in 2D and 3D, but in higher dimensions as well.

Our method for finding the densest packing is the hard core evolutionism translated for the abstract virtual world of geometrical objects. For this kind of software the label Artificial Intelligence may be rightfully used, as it solves the tasks even humans sometimes can´t. At least that well. Not only individual humans, but groups of them, armed with computers and supercomputers and strong mathematical theories are no match for our humble Pack'n'tile, a Microsoft Windows based tool. It took decades to establish a particular solution which Pack'n'tile reproduces -- or surpasses when possible -- in a much shorter time. Pack'n'tile doesn't relay on any knowledge at all, except that the shapes must go inside a smallest possible space and must not overlap.

We concede the importance of the past efforts, we only give you a new powerful tool. It will not prove you any theorem, except showing how more than thousand packings could be done. Unforeseen solutions may prompt you to investigate further, just get yourself an edge by having Pack'n'tile.

We plan to add more geometric shapes and more dimensions in the future versions.

 
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