[math-fun] unclever wine rack
A local restaurant offended my geometric sensibilities with wine racks in the shape of squares quartered by diagonals into isosceles right triangles only large enough for five bottles, as in the N=5 example in http://hydra.nat.uni-magdeburg.de/packing/crt/d1.html, whereas elongating the squares slightly (for which there was clearly room) would have accommodated 4*six bottles, i.e. two cases. What are the dimensions of the rectangle of minimal area into which 24 unit disks can be packed disjoint from the diagonals? --rwg Typed without linebreaks as an email experiment. I normally manually linebreak, much to the puzzlement of of the kids, and my own frustration, when GMail or something inserts additional breaks, creating a bunch of one or two word lines. Contrariwise, all my formatting often suddenly disappears when I paste partial conversations from Roundcube into GMail, much to the irritation of Warren. Why can't it leave my goddam formatting alone?
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Bill Gosper