[r-t] General case of an extent

[Graham John]

Joe Norton asks:

> I was wondering if such a thing has ever been
> devised as a composition of an extent which
> can be extended to arbitrarily many bells. 
>Either of a particular method or of methods
> with certain lead end groups and clean proof.

Plain Bob is straightforward as follows:

Extent of Plain Bob (all stages)

Minimus: no calls
Doubles: 3(a)
Minor: 3(3(a)b)
Triples: 3(3(4(a)b)c)
Major: 3(3(4(5(a)b)c)d)
Caters: 3(3(4(5(6(a)b)c)d)e)
Royal: 3(3(4(5(6(7(a)b)c)d)e)f)
etc

Where all calls a,b,c,d,e,f etc are Homes called from the 2nd (making 2nds).


No call (Minimus)
a = pn23 (Doubles)
b = pn234 (Minor)
c = pn2345 (Triples)
d = pn23456 (Major)
e = pn234567 (Caters)
f = pn2345678 (Royal)
etc

For example

720 Plain Bob Minor
   123456
   --------
   135264
   156342
   164523
   142635
a 124635
   143256
   135462
   156324
   162543
a 126543
   164235
   143652
   135426
   152364
a 125364
   156243
   164532
   143625
   132456
b 123564
    --------
3 part.

a=pn1236, b=pn1234

These also give double extent round blocks for 2nds place Treble Dodging
methods e.g. 80640 Cambridge S Major.

Graham