Message #1741

From: Eduard <baumann@mcnet.ch>
Subject: Re: Flat Rubik
Date: Thu, 26 May 2011 12:08:55 -0000

Six Faces on Flat Rubik

On internet you can find the very powerfull "CubeExplorer". He finds very short solutions for given scramblings.
My task was to translate the scrambling in "Six Faces" in the "CubeExplorer" picture. For this I notet the colors of the w-form unfolding of "Six Faces" on a paper and did the folding to get a little 3D cube. Only now I it was easy to fill the CubeExplorer picture!!
Now I asked CubicExplorer to solve the scrambling. His answer is in the form RTDBLRL2… This I had to translate in the FlatRubik script notation like c3.1+c1.2+….

So I solved Six Faces with 39 moves.

Nine Faces on Flat Rubik

Even if the moves are like those in "Six Faces" the puzzle is very different. There are no "cubicles" like vertices or edges whose stickers stay together. It is not easy to get not doubled 3-cycles for edge- and corner-stickers.
There is a parity issue. Because the basic moves are composed by an odd number (3) of corner 4-cycles and an even number (2) of edge 4-cycles it is possible to be left with a unique inversion of two corner stickers.

I solved Nine Faces with about 1 mio moves.

— In 4D_Cubing@yahoogroups.com, "Eduard" <baumann@…> wrote:
>
>
> Flat Rubik <http://www.puzzlemystery.com/default.aspx>
>
> I like this site. I have seen that Andrey Astrelin is also there. On my
> demand they have kindly installed a script possibility. They do not
> explicitely ask to return all numbers to home (mode 2) but only render
> solid color blocks (mode 1). I prefer to play mode 2. "Double shift" has
> the property that there the invers of the twist is not offered.
> Interesting. The twist are of order 7. So twist^(7-1) gives the invers.
>