--- In [email protected], "Stefan Pochmann" <[EMAIL
PROTECTED]>
wrote:
>
> --- In [email protected], "thomkirjava"
> <snkenjoi@> wrote:
> >
> > My aim is to try and do the cube blindfolded with no algorithms and
> > just commutators and conjugates
>
> That's a poor method, it can't even solve this scramble: U
>
> Cheers!
> Stefan
>
If the original meaning is using only commutators and conjugates of commutators
(etc.)
then that's the same as just using commutators (because conjugates of
commutators are
commutators *) so you just get the commutator subgroup (which happens to be
half of the
group) and it can't solve U, as you said.
If it just means using commutators and conjugates (of arbitrary algortihms)
then it can be
solved using just conjugates: (any algorithm is itself conjugated by the
identity element)
but of course that's rather trivial.
(* Of course, whether the representation used in the solving looks like a
product of
commutators is another matter.)
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