Message #1559

From: schuma <mananself@gmail.com>
Subject: Re: {6,3}, 3 layers, factor=1.2, 9 and 16 colors solved :)
Date: Mon, 14 Mar 2011 09:56:51 -0000

Your reorientation algorithm is interesting. Using your notation, my 3-cycle is [[C,E],D] = (C,E,C’,E’),D,(E,C,E’,C’),D’. D can be replaced by D2, D3, D’, etc to get some variations.

Nan

— In 4D_Cubing@yahoogroups.com, "Andrey" <andreyastrelin@…> wrote:
>
> Yes, it’s strange for me too.
>
> Let’s mark centers as
>
> ..G.H.I
> .D.E.F.
> A.B.C.
>
> I’ve started with commutator [A,E’]. Among other things it moves three edges around center D and changes orientation of two of them. So when I made [[A,E’],D^2] (10 twists), it was pure reversing of edges DF and DG. But I failed to make pure 3-cycle from it.
> Then I tried [A,E]. Again, it moves 9 edges, and the best I made from it was 5-cycle [[A,E],C^2]. Third commutator converted it to 3-cycle:
> [[[A,E],C^2],D^2]. Not very good, but enough for solving.
>
> Andrey
>
> — In 4D_Cubing@yahoogroups.com, "schuma" <mananself@> wrote:
> >
> > Hi,
> >
> > I just finished my {6,3} 9 colors, 3 layer factor = 1.29903810567 (the sweet spot Roice provided). For the edges, I used a 10-move commutator for 3-cycle, which is not too bad. It’s actually easier than I expected yesterday. I notice you said your 3-cycle is 22-twist but re-orientation is 10-twist. That’s a little weird. For me re-orientation is usually two 3-cycles.
> >
> > Nan
> >
> > — In 4D_Cubing@yahoogroups.com, "Andrey" <andreyastrelin@> wrote:
> > >
> > > 16 colors was easy. When I understood what is the actual role of small triangles, first stage (stars around centers, then corners) was smooth enough, and then simple 4-twist commutators were all I need to resolve edges. I even haven’t needed special operation for re-orientation of edges :)
> > > With 9 colors first stage was equally easy, but edges are too much connected. The best thing that I could develop was 22-twist commutators for 3-cycle of edges and 10-twist for re-orientation of the couple of edges. And I had to remember them in normal and mirrored forms in all orientations of the plane. Terrible…
> > > Anyway, results are 1254 twist for 16 colors and 1630 for 9 colors.
> > > Nice puzzles!
> > >
> > > Andrey
> > >
> >
>