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 Post subject: Orient Corners using two facesPosted: Fri Sep 21, 2012 4:15 am

Joined: Mon Feb 28, 2011 4:54 am
Is anyone aware of a way to orient (2 or 3) corners by turning only two faces?

No problem if there are 3 faces to play with, but 2 only?

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 4:22 am

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
A combination of sunes (R U R' U R U2 R') and antisunes (R U2 R' U' R U' R') should do the trick. With those two algorithms alone you can make all the corner OLL states.

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 5:57 am

Joined: Mon Feb 28, 2011 4:54 am
Luke wrote:
A combination of sunes (R U R' U R U2 R') and antisunes (R U2 R' U' R U' R') should do the trick. With those two algorithms alone you can make all the corner OLL states.

Thanks Luke. I know about sune and antisune, but haven't used them much. I notice they also move edges. Perhaps I should have been more specific by saying that I'd like them oriented without disturbing edges. Is that possible?

(I have tried combinations of sunes and U turns and antisunes, but it hasn't worked so far.)

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 6:11 am

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
Well you could always use two-gen three cycles to permute the edges back into the places you want them. I use R2 U R U R' U' R' U' R' U R' and its inverse to do edge cycles.

As for corner orientation, I made a tutorial here for all the PLL situations and how to use the sunes and antisunes to solve them. Hopefully this will help.

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3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 8:11 am

Joined: Wed Jul 11, 2012 8:52 am

Code:
RUR'U RU2R'         Sune
U2                  setup move for
R'U'RU' R'U2R       backhand Anti-Sune
U2                  undo setup move

greetings

Wolfgang

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 5:37 pm

Joined: Mon Feb 28, 2011 4:54 am
Luke wrote:
Well you could always use two-gen three cycles to permute the edges back into the places you want them. I use R2 U R U R' U' R' U' R' U R' and its inverse to do edge cycles.

As for corner orientation, I made a tutorial here for all the PLL situations and how to use the sunes and antisunes to solve them. Hopefully this will help.

Thanks again Luke for this resource. It's all pretty interesting to me as I've never once got into speedsolving and so not really had a need for these types of sequences.

wolf_II wrote:

Code:
RUR'U RU2R'         Sune
U2                  setup move for
R'U'RU' R'U2R       backhand Anti-Sune
U2                  undo setup move

greetings

Wolfgang

Ooohhh! That's nice! Thanks a bunch for that one. It was the backhand anti-sune variation that I hadn't tried.

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 6:07 pm

Joined: Wed May 13, 2009 4:58 pm
Location: Vancouver, Washington
wolf_II wrote:
Code:
RUR'U RU2R'         Sune
U2                  setup move for
R'U'RU' R'U2R       backhand Anti-Sune
U2                  undo setup move
That setup move should be U', not U2

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 6:09 pm

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
That is if one wanted to do an edge three cycle. With the setup move being U2, it results in two corners being reorientated, and everything else is preserved.

_________________
3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 6:31 pm

Joined: Wed May 13, 2009 4:58 pm
Location: Vancouver, Washington
Luke wrote:
That is if one wanted to do an edge three cycle. With the setup move being U2, it results in two corners being reorientated, and everything else is preserved.
Oh I see, I was still on the thought of moving edges without touching corners.

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 Post subject: Re: Orient Corners using two facesPosted: Fri Sep 21, 2012 9:08 pm

Joined: Wed Jul 17, 2002 3:08 pm
I came up with a method recently that uses the basic RU'R'U (is there a proper name for that sequence?)
By moving the 3 R edges that aren't on the U layer into the effected edge positions in RU'R'U with RUR, you get:
RUR
RU'R'U
R'U'R'
(hmm, this looks kind of like sune...)

which gets you two oriented corners on U with all U edges intact, so then just use that as the first part of a permutator on U to get 3 or for corner orients:
RUR
RU'R'U
R'U'R'
U -permutation (or U2 for 4 corner orient), then do the reverse:
RUR
U'RUR'
R'U'R'
U'
which orients all the U corners except the FL

you can use that entire thing as a permutator on U to get a 2 corner orient. I hope I am using the words permutator and permutation right.

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