[r-t] Crambo

Philip Earis Earisp at rsc.org
Tue Aug 8 08:45:07 UTC 2006


Roddy:
"I have found some of the files from Chris and spoken to him today. He
is 
happy for me to divulge the results that I have and so rather than send 
lengthy emails I have put a page on my website with his notes and
results. 
Watch the place notation - it is in code!

http://www.rrh.pwp.blueyonder.co.uk/minor_principles.html"


Many thanks for this, Roddy.  I have manipulated the example methods so
that they are in more familiar place notation, copied below (all have
conventional symmetry and a 16 lead end change).

I've proved a couple using Excel - strangely Sirilic seemed to have
problems.

Any analysis is very welcome!





x16.34.16x14x14x36.14x34x14.36.12.34.12.36x16x12.34x34.16.34.12.36x14x12
x14.36x14x12x14.36x14x12x14.36x36.14.36x16.34x

x16.34.16x14x14x36.14x34x14.36.12.34.12.36x34x36.14.36x36.12.34.12.36x34
.12.36x16x12x14.36x14.36x36.14.36.12x34x12x34.16.34x

x16.34.16x14x14x36.14.36x34x14.36.14.36x16.34.16x36.14x12.36x16x12x14.36
x14.36x34.16x16x36.12.34.12.36.14x34.16x36.12.34.12x

x16.34.16x14x14x36.14.36x34x12x16x36.12.34.12.36.14x34.16x16x36.14x36.14
x12x16x36.12x14.36x16.34.16x36.14.36x36.12.34.12x

x16.34.16x14x14x36.12.34.16.34x12x34x12.36.14.36x36.14x36.14x12x16x36.12
.34x36.12.34.12.36x16x34x14.36.12.34.12.36x34x36.14x

x16.34.16x14x14x36.12.34.16.34x12x34x12.36.14.36x36.14x36.14x12x16x36.12
.34x36.12.34.12.36x16x34x14.36.12.34.12.36x34x36.14x

34x16x16x12x14x16.34.12.36.12.34.12.36x34.16x34x36x34x36x12x16x36.14.36.
12.36.12.36.14x36x34x14.36.14x34.16.34.12.36x36.12x

34x16x16x12x14x14x36.12.34.12.36.12.34.12.36x14x12x34x36x16.34.16x34x16x
12x34x14.36x16.34x34.16.34x14.36.12.36.12.34.12x

34x16x16x12x14x14.36.14.36x12x34.16.34.12.36x12.34x34.16.34.12.36.14x12.
36x16x12x36.14.36.12.36.14x34.16.34.16.34x36.12.34.16.34.12x

34x16x16x12x14x14.36.14.36.12x12.34x14.36.12.34.16.34x34.12x36.12.34.16x
36x16x12x36.14.36.12.36.14x34.16.34.16.34x36.12.34.16.34.12x

34x16x16x12x14x14.36.12.34.12.36.12.34.16x16x12x14.36.14.36.12.36x36.14x
16.34.16x34x14.36x34x16.34.12.34x34.12.34.16.34.12.36x36x

34x16x16x12x14x14.36.12.34.12.36.12.34.16x34x12x14.36.14.36.12.36x36.14x
16.34.16x12x14.36.12.36.12.34.16.34.12.34x34.12.34.16x34.12.36x

34x16x16x12x14x14.36.12.34.12.36.12.34.16x34x12x14.36.14.36.12.36.14x16.
34.16x34x16x36x34x16.34.16x14.36.14x34x14.36x36.12x

34x16x16x12x14x14.36.12.34.12.36.12.34.12.36x34.16x12.36x12x16x36.14.36.
12.36.12.36.14x36x34x36.14.36.12.34x34.12.34.16.34.12.36x36x

34x16x16x12x14x14.36.12.34.12.36.12.34.12.36.14x12x16x36.14.36.12.36.12.
36.14x16.34.16x34x36.12.34x34.12.34.16.34.12.36.12.34x34.12.36.12x

34x16x16x12x14x12x16x16.34.12.36x12x16.34.12.36.14x34.12x12.36.14.36x16.
34.16x36.14x16x36.14.36.14.36x12x34x16.34.16.34.12x

34x16x16x12x14x12x16.34x34.16.34.12.36x12x16.34.12.36.14x34x36.14.36x16.
34.16x36.14x16x36.14.36.14.36x12x34x16.34.16.34.12x

34x16x16x12x14x12x16.34.12.34x14.36.12.34.16x12x36.12.34.16.34.12.36.14.
36x16.34.16x36.14x16x36.14.36.14.36x12x34x16.34.16.34.12x

34x16x16x12x14x12x36x16x36.12.36x16x36x34x36.12x12.34x16.34.12.36.12.34.
12.36x34x36.14.36.12.36x14x34x12x16.34.12.34x

34x16x16x12x14x12x36x16x36.12.36x16x34x12x34x36x34x36x12x34x16.34.12.36.
12.34.12.36x34x36.14.36.12.36x36.12.34.12x

34x16x16x12x14x12x36x16x36.12.36x16.34x12x34x12.36x34x36.12x12.34x16.34.
12.36.12.34.12.36x34x36.14.36.12.36x36.12.34.12x

34x16x16x12x14x12x36x16x36.12.36x16.34.12x12.34.12x36x34x36x12x34x16.34.
12.36.12.34.12.36x34x36.14.36.12.36x36.12.34.12x

34x16x16x12x14x12x36x14.36x14x16.34.12.36x36.12.36x16x36.12x36x34x14.36.
12.34.12.36x34x36.14.36.14.36x12x16x16.34.16x

34x16x16x12x14x12x36x14.36x14x16.34.12.36x12x16.34.12.36.14x34x12x36.12x
14.36x34x36.14.36.14.36x12x34x16.34.16.34.12x

34x16x16x12x14x12x36x14.36x14x16.34.12.36x12x16.34.12.36.14x34.12x12.36.
14.36x34x36.14.36.14x12.36.12x12.34x16.34.16.34.12x

34x16x16x12x14x12x36x14.36x14x16.34.12.36x12x16.34.12.36.14x34.12x12.36.
14.36x34x36.14.36.14x12.36.12x12.34x16.34.16.34.12x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.14x34x36x12x16x16.34.12.
36.12.34.16x16x12x34x12x16.34.12.36x36.12x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.14x34x36x12x16x16.34.12.
36.12.34.16x16x12x34x12x16.34.12.36x36.12x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.12.34.12.36.14x12x16.34.
12.36x36.12.36x16x12x36x34x36x12x34x16.34x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34x
12x36x34x36x34x12x34x16x36.12.36x36.12.34x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34x
12x36x34x36x12.34.12x12.34.16x36.12.36x36.12.34x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34.
12x12.36x34x36.12x34x12x34.16x36.12.36x36.12.34x

34x16x16x12x14x12x36x14.36x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34.
12x12.36x12x14.36x16x12x34x12x16.34.12.36x36x

34x16x16x12x14x12x36x14.36.14x34x14.36x36.12.36x16x36x34x36.12x12.34x16.
34.12.36.12.34.12.36x34x36.14.36.12.36.14x16.34x

34x16x16x12x14x12x36x34x36.12.36.14.36x34x36.12.34.12.36.12.34.16x16x12x
36x34x36x34x12x34x16x36.12.36x36.12.34.12x

34x16x16x12x14x12x36x34x36.12.36.14.36x34x36.12.34.12.36.12.34.16x16x12x
36x34x36x12.34.12x12.34.16x36.12.36x36.12.34.12x

34x16x16x12x14x12x36x34x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34x12x
36x34x36x34x12x34x16x36.12.36x36.12.34.12x

34x16x16x12x14x12x36x34x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34x12x
36x34x36x12.34.12x12.34.16x36.12.36x36.12.34.12x

34x16x16x12x14x12x36x34x36.12.36.14.36x34x36.12.34.12.36.12.34.16x34.12x
12.36x34x36.12x34x12x34.16x36.12.36x36.12.34.12x

34x16x16x12x14x12x36x34.16x34x12.36x34x36.12x12.34x16.34.12.36.12.34.12.
36x34x36.14.36.12.36.14x34.16x36.12.36x36.12.34.12x

34x16x16x12x14x12x36x34.16x12x14.36.12.36.14.36x34x36.12.34.12.36.12.34.
16x16x12x36x34x36x12x16x36.12.36x36.12.34.12x

34x16x16x12x14x12.34x34.16.34.12.34x34.12.34.16.34.12.36x16.34x34.16x36.
14x16.34x36.12.34.12.36.12.34.16x16x12x14.36.14.36.12.34.12x

34x16x16x12x14x12.34x34.16.34.12.34x34.12.34.16.34.12.36x16.34x34.16x36.
14x16.34x36.12.34.12.36.12.34.16x34x12x14.36.14.36.12.34.12x




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