[r-t] Ben Constant's Yorkshire Royal
pabs at cantab.net
Thu Jan 15 18:20:31 UTC 2009
Mark Davies said on 15/01/2009 08:58:
> Bobs-only Stedman Triples is a good example. It is, I suspect, much too
> large ever to provide an exhaustive enumeration - what is it, something like
> 10^25 or something? Very big, anyway. But consider this thought experiment.
> Divide the search space up by establishing a large number of call prefixes
> below which the search tree is accessible. Now write a simple program which,
> given the call prefix, will output all the compositions from it. (You can
> assume a rotational sort if you want only the distinct roundblocks).
> Plug all this (the prefixes and the search program) into a server and stick
> a web front end over it. The first page of the website says, "This site
> contains all possible bobs-only touches of Stedman Triples". Some small
> print advises that, because there are so many compositions, only a page at a
> time will be shown. The user can click "Next" to get to the next page, or
> type in a page number. There are probably hundreds of billions of pages, but
> for any one, the webserver will come back after a few milliseconds and show
> you the compositions.
> Who would be convinced, given such a website to play with, that every
> bobs-only composition of Stedman Triples already exists?
Won't most of the pages be blank? If so I don't think anyone would.
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