[r-t] Infinite Extensions

[Robert Bennett]

For methods with PB lead heads on 6,8,10, 12... bells, lead heads +1, -1,
+2 and -2 work on all stages.
Lead +4 or -4 work on all stages I think.
Leads 3, 6, 9... dont work on 10,16,22... bells
Leads 5,10,15... dont work on 16, 26, 36... bells

For methods like PB Doubles, Triples, Caters etc only leads +1 and -1 work
on all stages.

In general, if the lead number divides into the number of working bells
then the method will not have all the working bells doing the same work.

The same rules apply to non-PB leads of the same circulation as the PB ones.

If the number of working bells is prime, then any of the leads will work.
I don't believe that there is any way of telling in advance if a number is
prime.
RHB

On Thu, Mar 23, 2017 at 11:18 AM, Mark Davies <mark at snowtiger.net> wrote:

> A perhaps more basic question: are there any methods with PB leadheads
> which do extend to an infinite number of stages, and do so with different
> leadhead orders each time?
>
> All the "standard" extensible methods I know of have the same leadhead
> order in all their extensions:
>
> Plain Bob: +1
> Little Bob: -2
> Kent: -1
> Yorkshire, Cambridge, Pudsey: +2
> Bristol: -8
>
> (Here I use a notation where +1 = a or g LH, +2 = b or h etc).
>
> It might reduce the size of the problem posed in my last email if it were
> only necessary to consider a single leadhead order.
>
> MBD
>
>
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