[r-t] Double Grandsire Minor

Richard Pullin grandsirerich at googlemail.com
Mon Feb 18 11:27:27 UTC 2013

>From Andexander Holroyd

*Sun Feb 17 22:14:00 GMT 2013:*

>That isn't possible.  Any partition of the extent into mutually true
>in-course blocks of Grandsire Triples has an even number of blocks.  This
>was proved by W H Thompson in 1880 or so.  Professional mathematicians
>caught up with ringers in 1948 when Rankin published a formal proof of
>this and its natural generalizations.  This proof was simplified by Swan
>in 1999.

Very interesting. At home I've got a copy of Davies's "Odds and Ends
of Grandsire Triples" but have never quite been able to grasp the
principles of the pentagon tables at the back of the book. But the
above statement has helped shed some light on the subject for me.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://bellringers.net/pipermail/ringing-theory_bellringers.net/attachments/20130218/c5176292/attachment.html>

More information about the ringing-theory mailing list