[r-t] Bobs only Erin Triples (was: Composition search)

Don Morrison dfm at ringing.org
Mon Nov 30 19:08:10 UTC 2015


On Sun, Nov 29, 2015 at 7:04 AM Richard Smith <richard at ex-parrot.com> wrote:
> The group in question has all permutations of 123 while 456
> permute in phase:
>
>    123456  213546  231564  321654  312645  132465

Ah, thank you, I hadn't thought of permuting two chunks in phase with one
another.

> As always, Brian Price's 'Composition of Peals in Parts'
> provides the definitive guide to these things.

And thanks for this reminder. I'd completely forgotten it contained such a
comprehensive catalog.

Next questions regarding the six part: if a true, bobs only partition of
the extent of Erin Triples into six chunks with those part heads were
possible, how do you join them together? Is it guaranteed that there is a
way? (Apologies if an answer to this is also in Price's article--I've
skimmed it again today, but not yet put in the time and effort to fully
digest it, but didn't see anything that looked relevant.)



-- 
Don Morrison <dfm at ringing.org>
"The effects of real enthusiasms and real determination
are incalculable. In the realm of the just possible they are
sometimes decisive."         -- Michael Frayn, _Copenhagen_
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