Thread: "Faces problem with 4^4"

From: "deustfrr" <deustfrr@yahoo.ca>
Date: Fri, 23 Jul 2010 13:49:20 -0000
Subject: Re: Faces problem with 4^4



I have tried a few algorithms and they didn't work. How does swapping the p=
ieces help with flipping another 2? What does Brandon mean by flipping over=
the whole group? I've been stuck for days now.=20
And yes, I solved the centers intuitively
--- In 4D_Cubing@yahoogroups.com, "deustfrr" wrote:
>
> I really don't know what to do about this problem. And do I only swap 2 o=
r can I swap 2 pairs?
>=20
> > --- In 4D_Cubing@yahoogroups.com, Chris Locke wrote:
> > >
> > > Well, we can't exactly solve it for you, but one of the big hints tha=
t
> > > Brandon just gave is to try to "swap two indistinguishable pieces". =
When
> > > you realize the presence of indistinguishable pieces, it suddenly no =
longer
> > > becomes a parity issue, but just another case to work out with your
> > > 3-cycles. Still some work left for you to figure out exactly how to =
use the
> > > 3 cycles to get what you want done, but I think you'll feel pretty go=
od
> > > about it when you do figure it out. Good luck!
> > >=20
> > > Chris
> > >=20
> > > 2010/7/22 deustfrr
> > >=20
> > > >
> > > >
> > > > I updated the pictures. The red line is the wrong piece and the gre=
en line
> > > > are the right pieces. And, can you make a log file showing the XY m=
oves?
> > > >
> > > >
> > > > --- In 4D_Cubing@yahoogroups.com <4D_Cubing%40yahoogroups.com>, Bra=
ndon
> > > > Enright wrote:
> > > > >
> > > > > -----BEGIN PGP SIGNED MESSAGE-----
> > > > > Hash: SHA1
> > > > >
> > > > > On Wed, 21 Jul 2010 13:53:56 -0000
> > > > > "deustfrr" wrote:
> > > > >
> > > > > > I have a problem with the last 2 faces
> > > > > >
> > > > http://groups.yahoo.com/group/4D_Cubing/photos/album/346940124/pic/=
list
> > > > > > reply please
> > > > > > (I got parental controls on time so I just type that, lolz)
> > > > > >
> > > > >
> > > > > deustfrr,
> > > > >
> > > > > Your images are quite hard (for me) to see the exact problem in c=
ontext.
> > > > >
> > > > > However, for your "1-c piece situation" image, you have what appe=
ars to
> > > > > be a blue and an orange 1-c central piece swapped. If you were so=
lving
> > > > > purely intuitively then you may have a bit of trouble solving thi=
s but
> > > > > if you have a 3-cycle for the 1-c pieces then just swap two
> > > > > indistinguishable pieces such as two blue in the 3-cycle along wi=
th the
> > > > > orange.
> > > > >
> > > > > For your "2-c piece parity 1b" and "2-c piece parity 1a" images, =
this
> > > > > isn't really a parity but they must be solved together.
> > > > >
> > > > > I recently discussed a semi-generic technique for doing this on a=
lmost
> > > > > any puzzle here:
> > > > >
> > > > http://www.twistypuzzles.com/forum/viewtopic.php?f=3D8&t=3D7830&p=
=3D219422#p219422
> > > > > The general idea is to 3-cycle your two flipped pieces along with=
some
> > > > > other (choice is arbitrary) piece such that one of the flipped pi=
eces
> > > > > moves into the place of the other flipped piece (call this sequen=
ce X).
> > > > > Then flip the whole group over and put it back in place (call thi=
s Y),
> > > > > then undo X, then undo Y. This technique will work in any number =
of
> > > > > dimensions.
> > > > >
> > > > > Good luck,
> > > > >
> > > > > Brandon
> > > > >
> > > > > -----BEGIN PGP SIGNATURE-----
> > > > > Version: GnuPG v2.0.15 (GNU/Linux)
> > > > >
> > > > > iEYEARECAAYFAkxHNRsACgkQqaGPzAsl94JmswCfaN11Ja6eh2Dw6+nAFcunco40
> > > > > X/MAn3VzbHkYtEJCNUGeCCM5MljsXnsG
> > > > > =3DV8uU
> > > > > -----END PGP SIGNATURE-----
> > > > >
> > > >
> > > >=20=20
> > > >
> > >
> >
>





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