[r-t] Practical Extension
Robin Woolley
robin at robinw.org.uk
Sun Jul 29 16:27:57 UTC 2018
Hi All,
This morning, I amused myself by creating a spreadsheet analysing (what
I believe to be) the complete set of extension paths of symmetric
four-bell plain methods.
There are only four different front-works and the four different
back-works are mirror images of the front-works. There are six different
extension paths.
The s/sheet is sorted by path then by work so each block is the same
extension path for the four works.
Front-works are on the left, and back-works on the right. The Decision
is fully symmetrised so, in effect, the back-works are the same as the
front-works only reversed and subtracted from seven.
As an example, I found the extensions of Canterbury Place Minimus since
this has plain-hunting 'up' so creating less work. Five of the six
extensions have five leads - in the attached pdf.
Restrictions - only two have Plain-Bob lead-ends which are required by
the Decisions - 1DE & 3DE
All satisfy the adjacency rule except SCD (aka 3CD) but I have no way of
checking indefinacy. This is what computers were made for. Some of the
CD extensions may be regular at higher stages for all I know.
I shall try attaching s/sheet & pdf - but I've often had trouble with
this on this forum.
E&OE
Enjoy
Robin
PS - I usually think lying flat and staring at the ceiling usually helps
with understanding.
-------------- next part --------------
A non-text attachment was scrubbed...
Name: ext4.xls
Type: application/vnd.ms-excel
Size: 20480 bytes
Desc: not available
URL: <http://bellringers.org/pipermail/ringing-theory/attachments/20180729/faba32c1/attachment-0001.xls>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: linez.pdf
Type: application/pdf
Size: 9470 bytes
Desc: not available
URL: <http://bellringers.org/pipermail/ringing-theory/attachments/20180729/faba32c1/attachment-0001.pdf>
More information about the ringing-theory
mailing list