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The 'wellknown'
Theorem of Andrey Astrelin
A 60-deg rotation of the whole puzzle "MT skew {6,4|3} 20 v200" (Roice
Nelson) around some face gives even permutation of the edges (10
6-loops) and odd permutation od centers (3 6-loops + 2 fixed points).
Proof by doing (Ed Baumann)
(1) Log file showing the single center swap (y/w). 15374 twists. proof 1
of%201.xml>
(2) Log file of a restarted solving with care for the 60=B0 rotation.
Center swap avoided. 1402 twists. proof 2
of%202.xml>
(3) Log file for the almost finished "y/w swap near solving". 30336
twists. proof 3
of%203.xml>
Open the log files and replay!
;-)
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The 'wellknown'
Theorem of Andrey Astrelin
A 60-deg rotation of the whole puzzle "MT skew {6,4|3} 20 v200" (Roice N=
elson) around some face gives even permutation of the edges (10 6-loops) an=
d odd permutation od centers (3 6-loops + 2 fixed points).
Proof by doing (Ed Baumann)
(1) Log file showing the single center swap (y/w). 15374 twists. =3D"http://f1.grp.yahoofs.com/v1/INbWUBPGAA4lIPuL5EDIW3pV-51QSkhpOs5xGSnZ9b=
cY76X9bvEKRJMVPdLq_P6TF44d1gTNIDDpZObC58rv27dQhJLmLg7XfzIMzsk/Eduard/proof%=
201.xml">proof 1
(2) Log file of a restarted solving with care=
for the 60=B0 rotation. Center swap avoided. 1402 twists. //f1.grp.yahoofs.com/v1/INbWUKiKPIwlIPuL8SyGjxUsOBpaxiwEPjgDqgPL9yjS6Dfl5lT=
o7giYf0GGuHFlufrZjmvAcX2DVehlB4-YN96xxdTh0udP3OJtWgM/Eduard/proof%202.xml">=
proof 2
(3) Log file for the almost finished "y/w swap near so=
lving". 30336 twists. PuLNu26erq6iIbwV4O2-b6Gp53ugFOTfX33Uort2hbi8LqdeeiUN2SFa2Isd5HPc8ftkbH41QJk=
SFqCoxLB9KJuZrY/Eduard/proof%203.xml">proof 3
Open the log files and replay!
;-)