Timeline for How many unit squares can you pack into a rectangle with nearly integer side lengths?
Current License: CC BY-SA 2.5
5 events
when toggle format | what | by | license | comment | |
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Dec 7, 2020 at 0:49 | comment | added | Zsbán Ambrus | @j.c. link to that Erich Friedman survey article is now erich-friedman.github.io/papers/squares/squares.html | |
Mar 27, 2010 at 21:18 | vote | accept | Anton Geraschenko | ||
Mar 27, 2010 at 21:17 | comment | added | Anton Geraschenko | All these references are excellent! In particular, Nagamochi's Packing Unit Squares in a Rectangle (available at combinatorics.org/Volume_12/PDF/v12i1r37.pdf) proves that an $(a_1-\varepsilon)\times(a_2-\varepsilon)$ rectangle can hold at most $a_1a_2-2$ unit squares. The results in the references suggest that this is as good an answer as I'm likely to get, so I'm going to accept it. | |
Mar 27, 2010 at 10:36 | comment | added | j.c. | One source with plenty of pictures is Erich Friedman's website, which includes the following survey: www2.stetson.edu/~efriedma/papers/squares/squares.html | |
Mar 27, 2010 at 6:54 | history | answered | Gerry Myerson | CC BY-SA 2.5 |