[r-t] Minor Principles

Glenn Taylor gaataylor at blueyonder.co.uk
Tue Aug 15 21:05:29 UTC 2006

Of course, what I really want is all the 65's at backstroke and all the 56's
at backstroke, too. Is there a composition with this characteristic?

I don't see that this is possible.


a 56 is immediately followed by a 65 (or vice-versa) in which case one of
them occurs at hand and one at back


To prevent this, every 56 or 65 must occur in consecutive rows of the form

- - - X - Y
- - - - X Y
- - - X - Y

where X & Y are 5 and 6.

But in this situation you need 48 rows of the form ---X-Y to get the 24
ending XY but there are only 24 of the former. The argument still holds even
if X moves back into 5ths place in the next row because it would then have
to move back again to 4th place to avoid a YX in the following change: you
will always need more ---X-Y than ----XY rows.

Or have I missed something?

Glenn Taylor

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