[r-t] Consecutive pivot bell leads in spliced treble dodging minor extents

John Danaher jsd at alum.mit.edu
Sun Jan 1 23:24:52 UTC 2017


On Tue, Oct 25, 2016 at 3:28 PM <pje24 at cantab.net> wrote:

Richard:


> Do you allow methods whose plain courses are shorter than
> five leads long?

I'm keen to see answers both for extents just using the standard 147 td
methods, as well as examples with more freestyle method choice...

By exhaustive search, the answer on the standard 147 appears to be 8. One
example (the bell doing the pivot work each lead is marked in parentheses):

  123456 (2) Oxford TB
- 142356 (2) Evening Star D
  156234 (2) College Exercise TB
- 134256 (2) College Exercise TB
  162534 (2) Coventry D
  123645 (2) Kent TB
s 126534 (2) Kent TB
s 125463 (2) Kent TB
- 142563 (4) Kent TB
  154326 (5) Oxford TB
- 135426 (4) College Exercise TB
  164235 (4) Evening Star D
- 143526 (4) Oxford TB
s 145632 (4) Kent TB
s 146253 (6) Evening Star D
  153624 (6) College Exercise TB
- 124653 (2) Oxford TB
  162345 (6) Kent TB
s 163524 (6) Kent TB
  156432 (5) Kent TB
s 154263 (5) Kent TB
  125346 (2) Oxford TB
  132654 (3) Kent TB
  163425 (6) Oxford TB
- 146325 (3) College Exercise TB
  153246 (3) Evening Star D
- 134625 (3) Oxford TB
s 136542 (3) Kent TB
s 135264 (5) Evening Star D
  164523 (5) London Scholars' Pleasure TB
  123456

s = 1236

Sticking to only bobs and 1234 singles, the maximum is 6. One example:

  123456 (6) Chester S
  135264 (6) Wooler S
  142635 (6) Morpeth S
- 135642 (6) Morpeth S
  142563 (6) Wooler S
- 135426 (6) Chester S
  152364 (3) Morpeth S
- 164352 (3) Morpeth S
  152436 (4) Morpeth S
  136245 (2) Morpeth S
- 145236 (6) Chester S
- 145362 (3) Newcastle S
  123645 (6) Newcastle S
- 145623 (6) Morpeth S
  123564 (5) Morpeth S
- 164523 (3) Chester S
- 164235 (3) Wooler S
- 152643 (4) Wooler S
- 136524 (4) Chester S
  162345 (5) Chester S
- 162453 (5) Wooler S
  134562 (5) Morpeth S
- 162534 (5) Morpeth S
  134256 (2) Newcastle S
- 156234 (2) Newcastle S
  142356 (6) Chester S
  125463 (4) Newcastle S
  134625 (2) Wooler S
- 156342 (2) Chester S
- 156423 (4) Morpeth S
- 123456

 - John
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