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 Post subject: Double-layer 2-generatorPosted: Sun Aug 13, 2006 2:22 pm

Joined: Sat Aug 12, 2006 6:40 pm
Location: California
Basically, scrambling and solving (a 3x3x3) by twisting only the right and up layers, but using u and r instead of U and R. So, only the top two layers together and the right two layers together, without simple U or R.

Most confusing is to try to classify it; it's a two-generator, but the two faces vary. The bottom left is bandaged, but not all free moves are allowed. It can also be considered as pulling a bandaged edge (of three pieces) around the cube, incidentally scrambling the other pieces.

For example, try a regular three-edge cycle "doubled" (it's easy to put in at http://thearufam.brinkster.net/cube/wrapplet.asp):
r2urur'u'r'u'r'ur' (Allan™)
Or a three-corner orienter:
rur'uru2r'u2 (Sune™)
(On a slightly different note, try a T [RUR'U'R'FR2U'R'U'RUR'F'] with (n-1)-outer-slices-together turns on an nxnxn [rur'u'r'fr2u'r'u'rur'f'(u)]; it becomes an interesting 3-cycle)

Solving the corners is relatively simple, though the centers are not necessarily automatically aligned.
And I've managed to solve some top layer edges, too, but I'm nowhere near a full solution. Too bad no serious cube-solving applet/program uses uses double-turns...

To my point: I have been searching for a while, but I haven't found anything about his sort of turning, so I'm posting here to ask if anybody has seen something like this before, or tried it, or even thought about it (or succeeded at it ). I know Stefan has [had?] a video of a two-layers R/r-and-U/u-only solve, but that's about all of which I know.

So, anyone got ideas?

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 Post subject: Posted: Sun Aug 13, 2006 2:33 pm

Joined: Mon May 29, 2006 10:50 pm
Location: New York
it's only possible if you scramble it with only U and R moves. I do it all the time to practice step 4 for petrus method. by only turning two sides you wont get any corners that need the be swaped so any OLL can be fixed with 1 or 2 sunes. then edges can be fixed with 1 or 2 edge swaps R'2URUR'U'R'U'R'UR'.

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 Post subject: Posted: Sun Aug 13, 2006 2:49 pm

Joined: Tue Jan 10, 2006 11:15 am
Location: Helsinki, Finland
I got this idea a long time ago, but didn't like it at all... My friend found some algs a while ago. So I tried, but when I had only one edge 3-cycle left I did something wrong with the set up -moves. I haven't tried this again after that, because it's really awful.

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