[r-t] Triples puzzles

[Alan Reading]

*idly

On Thu, 16 Jul 2020 at 15:29, Alan Reading <alan.reading at googlemail.com>
wrote:

> That's brilliant Richard!
> I ideally wondered if what you have done would be possible and came up
> with the same base method. I thought you ought to be able to do something
> with long and short leads to get round the parity problem but didn't get as
> far as working anything out that might work let alone assembling a
> composition.
> It suppose it's a bit similar to how this composition (
> https://bb.ringingworld.co.uk/comp.php?id=874) works although there the
> long and short leads are for joining / q-set reasons rather than parity.
>
> On Thursday, 16 July 2020, Richard Pullin <grandsirerich at googlemail.com>
> wrote:
>
>> Have managed to produce a 5040 for challenge 1...whether it meets
>> challenge 2, who knows!
>>
>> I had a very similar idea to Robert, which was to come up with a Plain
>> method that could carry out the task: 5.147.5.3.147.3,147  1342756.
>>
>> 'Bobs' are substituted 5s or 3s that don't affect the treble. To overcome
>> the parity barrier, the treble gets affected by occasional 'calls,' thereby
>> producing long and short leads in those instances. This automatically
>> created a building block for a very nice 18-part structure.
>>
>> The peal uses group 6.12 from Price's paper, which is generally not
>> possible for extents in almost any method you can think of on 6 or 8 bells
>> (though it has been used before for at least one Triples extent.)
>>
>> I guess it is also quite rare for a peal to have calls everywhere except
>> at the lead ends (or lead heads, or whatever we're supposed to call them!)
>>
>> 5040 New Triples method
>>    234567
>> X  742563
>> P  427356
>> A  324675
>> P  243567
>> A  542736
>> 2P 254367
>> 3A 657432
>> P  576243
>> L  627345
>> D  673524
>> 3B 527364
>> C  273465
>> P  732546
>> B  367524
>> P  673452
>> 18-part, replacing final B with W in parts 6,12 and 18.
>> X = +5.147.3.147.5.147
>> P = +5.147.5.3.147.3.147.3.147.3.5.147.5.147
>> L = +5.147.5.3.147.3.147.5.147.3.147.3.147.3.147.3.147.3.5.147.5.147
>> W = +3.147.5.3.147.5.147.3.147.3.5.147.5.147
>> A = +3.147.5.3.147.3.147.3.147.3.5.147.5.147
>> B = +5.147.5.3.147.5.147.3.147.3.5.147.5.147
>> C = +5.147.5.3.147.3.147.5.147.3.5.147.5.147
>> D = +5.147.5.3.147.3.147.3.147.3.5.147.3.147
>>
>>
>>
>>
>>
>>
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