# [r-t] Triples puzzles

Alexander E Holroyd holroyd at math.ubc.ca
Fri Jul 24 18:54:40 BST 2020

```Congratulations Richard, very interesting stuff!

The group 6.08 (which has 6.12 as an index-2 subgroup) was also used for
St Francis Minor.

Since your "calls" come in q-sets of 3, I guess the composition involves
ringing some parts of courses backwards (as in WHW), right?

I'm not convinced it's quite something I would want to ring, yet.  Can
you think of any other approaches?

On 16-Jul-20 2:39 PM, Richard Pullin 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
>
> 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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```