[r-t] Crambo theorem revisited

edward martin edward.w.martin at gmail.com
Tue Sep 28 13:27:38 UTC 2010


On 27 September 2010 13:25, Philip Earis <Earisp at rsc.org> wrote:
> In August 2006 Robert Johnson proved the Crambo Theorem (that every
> in-course half extent of doubles could be extended to a full extent by the
> addition of a single change between alternate rows)

> In October 2006, Andrew Johnson produced a marvellous in-course 120 of
> doubles, with every row appearing once at handstroke and once at backstroke.
>  I featured this in my “compositions of the decade”, and indeed we rang the
> method at Cottenham during an outing in July this year). The notation is:
>
> +3.1.3.5.1.3.5.1.3.5.3.1.3.1.3.5.1.3.5.1.3.5.3.5
>
> My question is, can an in-course 120 also be “cramboed up” to a 240?
>

Hello
Do you mean something like:
5.123.3.123.5.145.3.345.3.123.5.123.3.123.5.123.3.123.5.345.5.123.3.123.5.123.3.123.5.145.3.345.5.123.3.123.5.123.3.123.5.123.3.345.1.123.3.123
( for 51234. Repeat 4 times)

Eddie Martin




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