Thread: "Parity problem in MT"

From: "Eduard" <ed.baumann@bluewin.ch>
Date: Tue, 22 Jan 2013 17:20:09 -0000
Subject: Parity problem in MT



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Link to a photo in Yahoo: pict a (Y)
546499/view?picmode=3D&mode=3Dtn&order=3Dordinal&start=3D1&count=3D20&dir=
=3Dasc>

Big parity problem in "MT skew {4,4|7} 49 e 0:1.41:0 ".
After about 6000 twists I'm left with 2 edge swaps in two separated
orbits.

Shift the puzzle as a whole (diagonally or not) in the non skew view
doesn't produce an odd number of even cycles.

The element types are: 4c corners, 2c edges, 1c central faces, 1c
triangular edge-faces and 1c faces (lengthy diamonds).

A single twist contains 3 edge swaps, a corner swap, a central face
swap, 3 edge-face swap and very important two face swaps in separated
orbits (with 14 elements).
This makes it impossible to get rid of my edge parity problem with a
single twist.

Edges have two orbits (right angled). In one orbit an edge can go in the
other half and arrive flipped.

I have perfectly controlled the similar colors
yellow-gold,
cyan-aqua and
white-mintCream.

Without solving this puzzle you can try to help me with considerations.

Best regards

Ed


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Link to a photo in Yahoo: piCubing/photos/album/1295712590/pic/121546499/view?picmode=3D&mode=3Dtn&=
amp;order=3Dordinal&start=3D1&count=3D20&dir=3Dasc">ct a (Y)> 


Big parity problem in "MT skew {4,4|7} 49 e 0:1.41:0 ".
After about 6=
000 twists I'm left with 2 edge swaps in two separated orbits.


Shift  the puzzle as a whole (diagonally or not) in the non skew vi=
ew doesn't produce an odd number of even cycles.


The element types are: 4c corners, 2c edges, 1c central faces, 1c triang=
ular edge-faces and 1c faces (lengthy diamonds).


A single twist contains 3 edge swaps, a corner swap, a central face swap=
, 3 edge-face swap and very important two face swaps in separated orbits (w=
ith 14 elements).
This makes it impossible to get rid of my edge parity =
problem with a single twist.


Edges have two orbits (right angled). In one orbit an edge can go in the=
other half and arrive flipped.


I have perfectly controlled the similar colors
yellow-gold,
cyan-a=
qua and
white-mintCream.


Without solving this puzzle you can try to help me with considerations.<=
/P>

Best regards


Ed



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