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Thursday, March 26, 2009

On cubing: Quick notes on Edge Orientation (Incl. advanced setup)

1,3 = (M U M U M) U2 (M' U M' U M') U2

1,2,3,4 = (M'UM'UM'UM'U)(MUMUMUMU)

1,2,3,4, 8, 11 = (lUl'U)(lUl'U)(lUl'U)(lUl'U)(lUl'U)

1,3, 5, 6, 7, 8, 9, 11 = (dDrR)(dDrR)(dDrR)

Depending on the amount of flipped edges, it can pay off to apply an alg that fixes a great amount of edges and then fix the damage caused afterwards. This requires rememorization. Sometimes it can also pay off to create layers with 4 unfixed edges and do the necessary setup moves, if they are easy.

It also helps to look ahead when Using the layout 2,3,4,5,6,9 you could flip all U edges, which would now leave edge 1 unsolved but in return creates an entire F surface that can be fixed. Algorithms suting this scenario are shown below. If the layout of your cube is too far off the setups might become too complex, but the scenarios below are not unlikely.

2,3,4,5,6,9 : (M'UM'UM'UM'U)(MUMUMUMU) x (M'UM'UM'UM'U)(MUMUMUMU) x'

More mirror algs based on the above concept:

1,2,4,7,8,11: (M'UM'UM'UM'U)(MUMUMUMU) x' ( M'UM'UM'UM'U)(MUMUMUMU) x
1,2,3,5,8,12: (M'UM'UM'UM'U)(MUMUMUMU) z ( M'UM'UM'UM'U)(MUMUMUMU) z'
1,2,4,6,7,10: (M'UM'UM'UM'U)(MUMUMUMU) z' ( M'UM'UM'UM'U)(MUMUMUMU) z

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