tag:blogger.com,1999:blog-264226589944705290.post7012713223839974168..comments2022-11-19T01:08:31.131-08:00Comments on God Plays Dice: The hidden mathematics of bathroomsMichael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-264226589944705290.post-66914536761997580392009-09-11T16:36:05.401-07:002009-09-11T16:36:05.401-07:00If each urinator went to a urinal two down from th...If each urinator went to a urinal two down from the previous one, the community would achieve a near-optimal packing. I think that people don't do this because the awkwardness doesn't drop suddenly to zero once the urinal distance is two, but decays gradually.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-30929852880136968042009-09-03T11:58:50.839-07:002009-09-03T11:58:50.839-07:00Choosing seats on the New York City subway. It...Choosing seats on the New York City subway. It's not exactly equivalent, because people sometimes shift seats when people get up, and sometimes people slide down fractional seats, and sometimes there are couples or families who want to sit next to each other, but the basic principle seems the same.rmbnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-38399165580057632692009-09-02T08:13:12.886-07:002009-09-02T08:13:12.886-07:00Oops, I meant n=2^k and n=2^k+2.Oops, I meant n=2^k and n=2^k+2.Unknownhttps://www.blogger.com/profile/04752384695446260553noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-19085401662484257532009-09-02T08:12:45.623-07:002009-09-02T08:12:45.623-07:00Actually n=2^k and n=2^k+1 achieve the optimal f(n...Actually n=2^k and n=2^k+1 achieve the optimal f(n)/n = 1/2 as well.<br /><br />Note that 4 = 3+1 is both optimal and worst :)Unknownhttps://www.blogger.com/profile/04752384695446260553noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-84210368258827310792009-09-02T07:53:37.265-07:002009-09-02T07:53:37.265-07:00A bunch of guys parallel parking their cars in mar...A bunch of guys parallel parking their cars in marked spaces along a street. They want to leave as much space as possible so there's no risk of scratching, and nobody will even try to park in the space next o an existing car.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-41914580275706192072009-09-02T07:36:24.859-07:002009-09-02T07:36:24.859-07:00Would particles with same charge constrained to 1D...Would particles with same charge constrained to 1D have the same premise? I guess you'd have "infinitely many urinals" in that situation, though.CalcDavehttps://www.blogger.com/profile/14039458440867020542noreply@blogger.com