[r-t] Extents of doubles

[Richard Smith]

Philip Earis wrote:

> > Crambo is one of only eleven doubles extents (up to
> > rotation, reflection, etc.) with the following properties:
> >
> >  - the extent forms a perfect five part (i.e. it is a
> >    principle);
> >
> >  - no more than four consecutive blows in any one place;
> >    and
> >
> >  - uses only single changes.
>
> Can you provide a list of these 11?

34.4.2.23.34.23.4.34.23.34.2.34.23.4.23.34.23.2.34.23.34.2.34.23
34.4.2.23.34.23.4.23.34.23.4.34.23.34.2.23.34.23.4.23.34.4.34.23
34.4.23.34.2.34.23.34.2.34.23.34.2.4.23.34.23.2.34.23.34.2.34.23
34.4.23.34.2.23.34.23.4.34.23.34.2.4.23.34.23.2.34.23.34.2.34.23
34.2.34.23.34.2.34.23.34.4.2.23.34.23.2.23.34.2.23.34.23.4.34.23
34.2.34.23.34.2.34.23.34.4.23.34.23.4.23.34.23.2.34.23.34.4.34.23
34.2.34.23.34.2.34.23.34.4.23.34.23.2.34.23.34.2.34.23.34.4.34.23
34.2.34.23.34.2.23.34.23.4.2.34.23.34.4.23.34.2.34.23.34.4.34.23
34.2.34.23.34.2.23.34.23.4.23.34.23.2.34.23.34.2.23.34.23.4.34.23
34.2.23.34.23.4.34.23.34.2.34.23.34.4.23.34.23.4.34.23.34.2.34.23
34.2.23.34.23.4.23.34.23.2.4.34.23.34.4.34.23.4.34.23.34.2.34.23

> What about if you ignore the restirction of four consecutive blows?

3799 methods:

http://www.ex-parrot.com/~richard/doubles/extents/single-change-principles.txt.gz

RAS