[r-t] A practical (well, sort of) extension question
pabs at cantab.net
Fri May 1 16:55:55 UTC 2015
On 01/05/2015 15:55, Don Morrison wrote:
> They are five randomly generated methods (or, if you prefer,
> "methods"), generated a few years ago by Philip Earis for a curious
> composition. I have so little intuition as to how this method
> extension stuff works that I really have no idea what does or does not
> extend, but it seemed a plausible, if ham-handed, way to get at some
> evidence of whether or not it is true that "most methods don't extend"
> (the answer to which may be self-evident to those who do understand
> how extension works, but sure isn't to me).
I would venture that most rung methods do not extend, because most rung
methods have plain bob lead heads, and G(B)5 requires that the extension
must also. Since the number of plain bob lead heads is a diminishing
proportion of the possible lead heads as the stage increases, the chance
of finding an extension is small.
On the other hand, I would expect that a large proportion of e.g. the
possible right place treble dodging methods would extend, as most of
these will not have plain bob lead heads.
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