[r-t] Infinite Extension
Mark Davies
mark at snowtiger.net
Thu Mar 23 13:30:33 UTC 2017
Alan writes,
> I think he's postulating that there
> are no examples where the lead head group can't be determined by a simple
> formula involving stage.
Not quite - I'd be interested in any extension where the lead head order
isn't constant with respect either to forward or reverse progression
through the LH group.
So in Robin's examples the LH order increases by two at every stage with
respect to the forward order, i.e. +1 +3 +5 +7 etc, but since two
additional working bells are added at each stage, this is in fact
constant at with respect to the reverse order: by the modulo it's -4 at
every stage.
If you could find an extension where the LH order advances by something
other than 0 or +-2, then there'd be a non-constant relationship. For
instance, is there an extension series where the pivot bells go 3, 5, 6,
7... or 3, 7, E...?
MBD
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