[r-t] Decisions / Algorithms for generating the extent
holroyd at math.ubc.ca
Wed Jun 21 17:19:14 UTC 2006
I seem to remember hearing that on any number, the extent can be produced
by 213456...n and the jump change 23456...n1 (Obviously the group is
generated by these two, but I am talking about an actual extent).
On Wed, 21 Jun 2006, Don Morrison wrote:
> On 6/21/06, Richard Smith <richard at ex-parrot.com> wrote:
>> The algorithm for generating an extent on n by applying
>> plain changes on n-1 to the coursing order of plain hunt on
>> n has the elegant property that only three different changes
>> are needed. By contrast, plain changes needs n-1 different
>> changes, as does the Original Singles, Bob Minimus, Old
>> Doubles, ... sequence.
> Am I correct in believing that for more than three bells, three
> different changes is the minimum that can ever be used to generate an
> That's assuming ordinary changes, not jump changes. Can it be reduced
> to two with jump changes?
> Don Morrison <dfm at mv.com>
> "[I] am rarely happier than when spending an entire day
> programming my computer to perform automatically a task it
> would otherwise take me a good ten seconds to do by hand."
> -- Douglas Adams, _Last Chance to See_
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