[r-t] Bobs-only Stedman Triples - 74 complete B-blocks peals

Richard Pullin grandsirerich at googlemail.com
Thu Mar 24 00:04:24 GMT 2022


Ted Steele wrote a couple of hours ago:

>I am prompted to ask whether, assuming the successful completion of
>Andrew's continuing work, there remains anything else to explore in
Stedman >triples?

It would be interesting to see some bobs-only peals on new part plans, such
as exact 5-parts and 4-parts. The paper on Hamiltonian Cycle searches in
Stedman and Erin Triples, shared on this list a few years ago, seems to
show that these peals should be possible, though they are still very hard
mathematical problems. 4-part peals would be particularly interesting,
given that 4-part extents are fairly unusual in composition generally.

Forgetting bobs-only, other territory to explore could include reducing the
number of calls in a 5040 (minimum currently 238) and increasing the number
of P-blocks in a 5040 (maximum currently 20). Unless anyone can prove that
both of these are the limit.
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