# Message #2519

From: schuma <mananself@gmail.com>

Subject: Re: MagicTile Solving intermediate report

Date: Mon, 03 Dec 2012 16:20:40 -0000

Ed,

You need to first swap the two incorrect 3c corners to fix them. Then you need to do two swaps for triangles in two orbits. Although you cannot do one swap in a single orbit, it turns out you can do two of them simultaneously: Let A and B be two adjacent edges sharing one vertex. (A,B)*3 does the jobs. Please examine which two orbits this algorithm affects and apply it in the correct spot. Then you can use your old algorithms to do even permutations within orbits.

Nan

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

>

>

> MT_ell_sph_dode_E_0-1-0,11 part 2

> <http://wiki.superliminal.com/wiki/File:Pict_MT_ell_sph_dode_E_0-1-0,11_<br>
> b.PNG>

>

> After succeeding with the cornerfaces I’m left with a single corner swap

> !! I have macros to manage the edgefaces, small faces and central faces,

> which do not touch the corners. How can I solve this parity problem ?

> Because a belt of 10 corners is even I can go from 2134567890 to

> 0987654321with 3-cycles (even number of swaps; pay attention to the

> reversed 21 in startposition). Then I have to swap the upper and lower

> ring of 5 corners (5 swaps, odd). Then change direction in each 5-ring

> (even number of swaps). Total : odd number of swaps which is not

> possible with 3-cycles.

> I don’t see a solution for the moment.

> Who can help me?

>