tag:blogger.com,1999:blog-7181380552290465298.post1248772464839285677..comments2024-03-14T18:02:56.265-04:00Comments on Robin's Bridge Blog: Howell MovementPhasmidhttp://www.blogger.com/profile/09870140728729031615noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-7181380552290465298.post-52794197648986971362019-10-21T15:39:31.745-04:002019-10-21T15:39:31.745-04:00Very interesting. Thanks.Very interesting. Thanks.Phasmidhttps://www.blogger.com/profile/09870140728729031615noreply@blogger.comtag:blogger.com,1999:blog-7181380552290465298.post-65253506065553103322015-09-12T17:34:17.998-04:002015-09-12T17:34:17.998-04:00It took me a while to figure out, but Howell deriv...It took me a while to figure out, but Howell derived his tables by superimposing orthogonal Latin squares. Latin squares were very popular puzzles in the 19th century and would have been well-known to him.<br /><br />It's not clear to me how much he knew (or needed to know) of group theory in order to create his method. I would be interested to see some of Howell's original table cards. Howell movements have many possible solutions and have been re-calculated many times since 1897, so many of the ones we use now are not likely to be the same as the ones he originally published.Linechaserhttps://www.blogger.com/profile/01130551490404982874noreply@blogger.comtag:blogger.com,1999:blog-7181380552290465298.post-90764674675217622922013-06-10T00:19:42.460-04:002013-06-10T00:19:42.460-04:00That's a very good question - and I apologize ...That's a very good question - and I apologize for not noticing that you had asked it over a year ago. The movement specified in the article (E/W down 2, N/S down 3) is arbitrary. So of course is the movement of the boards but that's a bridge convention so we might as well stick with it. Once that movement has been decided upon, the bye stands can be determined by looking for the phantom pairs (in red in the table) that make the whole thing work. The one thing you know for sure is that table 1 (where the stationary pair resides) always has a real E/W pair throughout the movement.<br />As it's now over three years since I published this article, I'm not sure that I can explain it any better - but this is how I recall it. It involves a little bit of trial and error.Phasmidhttps://www.blogger.com/profile/09870140728729031615noreply@blogger.comtag:blogger.com,1999:blog-7181380552290465298.post-15702968006853975612012-02-21T13:38:33.301-05:002012-02-21T13:38:33.301-05:00How do you determine which of the logical tables w...How do you determine which of the logical tables will be the bye-stand tables?Anonymousnoreply@blogger.com