Message #2079

From: Roice Nelson <roice3@gmail.com>
Subject: Re: [MC4D] Re: MagicTile, Topology of MT IRP {5,5} 8c F 0:0:0.85
Date: Wed, 25 Apr 2012 10:52:31 -0500

Sweet :D I did not expect that to happen so quickly!

Roice

On Wed, Apr 25, 2012 at 12:40 AM, schuma <mananself@gmail.com> wrote:

> Please check this macro:
>
> http://games.groups.yahoo.com/group/4D_Cubing/files/Nan%20Ma/IRP55_23.xml
>
> It’s a [1,1] commutator of two adjacent polygons as a macro. If these
> polygons do not form the pairs that I mentioned earlier today, the
> commutator is a 3-cycle. If the reference point is chosen so that the
> polygons do form a pair, the commutator is two 2-cycles (for example,
> white, yellow, white’, yellow’). And in the solved state, one of the
> 2-cycles is swapping identical pieces. So the two 2-cycles look just like a
> single 2-cycle. In the near solved stage, this algorithm can really be used
> as a 2-cycle.
>
> Nan
>
> — In 4D_Cubing@yahoogroups.com, Roice Nelson <roice3@…> wrote:
>
> > I just had a thought…it would be extremely interesting if we could
> find a
> > macro on an asymmetrically colored puzzle that did two *different but
> useful
> > * things depending on where it was applied. Can you imagine a macro that
> > somehow could do both a 2-cycle and a 3-cycle. Now that would be cool!
> >
> > seeya,
> > Roice
> >
>
>