[r-t] Crambo - mystery solved(?)
holroyd at math.ubc.ca
Thu Sep 7 23:30:45 UTC 2006
Very impressive, Richard. It _is_ possible on 6 (and I would guess on all
higher numbers). Here is an example (which I think it is safe to say
no-one in their right mind would ring).
p = 234.3126.96.36.199.3188.8.131.52.345.234.5
- = 234.3184.108.40.206.3220.127.116.11.345.234.5
On Thu, 7 Sep 2006, Richard Smith wrote:
> Robert Johnson wrote:
>> Here's a funny little question vaguely inspired by crambo
>> (tho' crambo doesn't actually have this property). Can you
>> constuct an extent on n which remains a legal touch if you
>> strike out any row.
> Other than the trivial solutions on 1 and 2 bells, it is not
> possible for n < 6. The proof for n = 5 is quite involved
> because of the number of steps involved and cases to be
> considered. I hope I haven't overlooked any possibilities.
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