# Message #2569

From: Andrey <andreyastrelin@yahoo.com>

Subject: Re: MagicTile Solving

Date: Fri, 21 Dec 2012 07:09:41 -0000

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 :(

ā In 4D_Cubing@yahoogroups.com, "Eduard" <ed.baumann@ā¦> 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 Iām 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

>