[r-t] q-sets
tom willis
tompw at hotmail.com
Mon Jul 21 12:52:55 UTC 2008
Given I keep on seeing references to q-sets, does anyone have a handy link which explains them in more detail?
Tom Willis
> edward martin wrote:> > How's this:> > The 5040 can be set out in 60 blocks where every lead is a common > > single. The problem then is to link these 60 blocks without using bobs > > or any other device other than plain leads.> > Because plain leads exist in sets of 5, it seems to me that we are > > once again up against the old q-set difficulty of adding an even > > number to an odd wch can never result in the total being even.> If we replace a single with a plain lead we have to replace a further > four because of the q-set involving the 'bob' part. If rounds occurs at > a plain lead head, then so must> > 532746> 735624> 637452> 436275> > But we also deal with the 'single'. Either 235476 or 324567 also has to > be a plain lh. At first sight either could be, but choosing 324567 > means we can't plain any of the q-set containing 235476 - this forces > the choice for the other four singles, and we soon end up with every > possible lh. Thus 235476 and the rest of its 'bob' q-set are plain lhs:> > 432657> 634725> 736542> 537264> > Thus q-sets have 10 elements.> > However, each q-set we plain rules out another five.
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