# Message #2571

From: Eduard <ed.baumann@bluewin.ch>

Subject: Re: MagicTile Solving

Date: Fri, 21 Dec 2012 11:15:32 -0000

You are perfectly right. The fact ist very remarkable.

"Have you remembered faces colors before shuffle?" Yes I worked together with a unscrambled Run. But this is not sufficient. You have absolutely no clue for the 6 60° rotations of the whole. The strategy must be: do the edges and centers first (with about 1000 twists). See the parity. With 50% chance it’s ok. If not do such a 60° turn of the whole by twists! Then only finish the puzzle with about 20’000 twists.

Because I have already done my 15’000 twists I will finish without reparing the parity and put this "near solve" on wiki.

Alternatively you can immediately place the the 6 edges with white immediately after the scrambling with the unscrambled run in view … and this without loosing the 60°-orientation of the whole.

— In 4D_Cubing@yahoogroups.com, "Andrey" <andreyastrelin@…> wrote:

>

> It looks like 60-deg rotation of the whole puzzle around some face gives even permutation of the edges (10 6-loops) and odd permutation od centers (3 6-loops + 2 fixed points). Have you remembered faces colors before shuffle? If not, you could start solving in the "odd" orientation :(

>

> — In 4D_Cubing@yahoogroups.com, "Eduard" <ed.baumann@> wrote:

> >

> > "MT_skew_6_4-3_20_v200"

> >

> > http://wiki.superliminal.com/wiki/File:Pict_MT_skew_6_4-3_20_v200_swap.PNG

> >

> > After few (400) twists more for the central faces I’m left with a single central face swap (with all edges at home) !!!!

> >

> > This seems to be a serious parity problem.

> >

> > One vertex turn = 4er cycle of central faces AND of edges.

> > Hence with 3-cycles I can only do the combination of

> > a single central face swap PLUS a single edge swap.

> >

> > Nan, can you help me again ? ;-)

> >

> > Kind regards

> > Ed

> >

>