[r-t] Short 'peals' of Stedman Triples
pabs at cantab.net
Mon Jun 12 17:03:31 UTC 2006
It seems unlikely to me. I wouldn't rule out the possibility that a
touch of between 4980 and 5040 exists using standard calls, but I
wouldn't know how to go about finding one other than by an exhaustive
search - this is a much bigger problem than searching for a bobs only
A related question: is it possible to find two touches of different
lengths, such that
a) the lengths differ by fewer than 60 changes
b) the rows of the longer are a superset of those of the shorter?
I can do this with funny calls:
a) take a 79 of Doubles and a B-block, with 6-7 swapping in the
appropriate places to make the rows match (this could be extended to a
b) Coming round at the six-end, ring titanic for the final six (5036)
c) finish with a Double in 34567, and replace place notation 3.34567
with 123 for 5039 - or 345126.96.36.199.3.1 with 123 for 5035
But then with sufficiently strange calls you can clearly get any length.
John Camp said on 11/06/2006 20:58:
> At 20:55 on 11 June 2006, John Camp wrote:
>> Correspondence on ringing-chat about possible changes to the rules
>> about peal lengths generated the question: Can it be shown (preferably
>> easily) that all lengths of Stedman Triples between 5000 and 5039
>> changes can be obtained?
> Actually, that should be 'from 5000 to 5039 changes inclusive'.
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