Forcing good Us in Square-1 speedsolving

Discussion in 'General Speedcubing Discussion' started by blade740, Dec 16, 2011.

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  1. blade740

    blade740 Mack Daddy

    854
    3
    May 29, 2006
    WCA:
    2007NELS01
    YouTube:
    blade740
    Just gonna drop a bit of magic here. I finally figured it out and I couldn't believe it was so easy.

    There are several layer permutations in Square-1 solving that go to a U-perm after the regular J-perm or N-perm CP is applied (with correct alignment, of course). These are T, F, V, Y, G, R, and A. Of these, the first four (T, F, V, and Y) can be aligned two different ways before applying a J-perm to produce either direction of U-perm. A can be aligned two different ways, but it produces the same U either way. A bit more on that later.

    These permutations can be divided into two different groups:

    Group 1: T, Y, Ga, A (clockwise)

    Group 2: F, V, Gb, R, A (counter-clockwise)

    If you get two permutations from different groups, perform them with the same alignment. If you get two permutations from the same group, they should not be aligned. G and R have a specific alignment that they must be held at in order to go to U, so you should match the other to that. Because the alignment of A doesn't actually affect the permutation, you must always misalign the other permutation instead.

    Even when you can't affect the permutation, this can be useful for lookahead. For example, you can't actually force anything if you end up with G/R, but you can tell whether or not you'll end up with good Us.


    Examples:

    [​IMG]

    T/F. T and F are in different groups, and so in this case, you'll just perform J/J without any adjustments, leading to good Us.

    [​IMG]

    V/F. These are in the same group, so apply 1,0 or 0,-1 before performing the N/J corner permutation alg.

    [​IMG]

    R/T. R and T are not in the same group, so they should be aligned the same way. However, you need to adjust the R to make it go to a U-perm (preserving the 1x2 block). Since T has to match, you'll need to do 1,-1 before applying the J/J alg. This same principle also applies to G-perms.

    [​IMG]

    F/Acw. These are in the same group, so they must be misaligned before performing J/J. Since adjusting A doesn't change anything, you must do 1,0 before solving CP. In fact, if you do 1,-1, you'll end up with the same result (just a different AUF), so at this point only the adjustment of the F matters.


    This is a very simple rule to remember that can help improve your Square-1 "luck". If you have any questions please don't hesitate to ask.


    Oh yeah, also: if you align a J incorrectly (e.g., in a way that solves CP but DOESN'T solve EP), it falls under group 1 as well. This is actually MORE useful than the other permutations, since U/solved is much slower than either good OR bad Us.
     
    Last edited: Dec 16, 2011
    Rubix Cubix likes this.
  2. Jokerman5656

    Jokerman5656 Catch Me If You Can

    574
    2
    Mar 15, 2009
    Minnesota
    WCA:
    2009BRAI01
    YouTube:
    jokerman5656
    Awesome thread, will definitely be getting these patterns down
     
  3. lachose

    lachose Member

    121
    0
    Jul 19, 2008
    France
    WCA:
    2008PIAU01
    Can be very useful if I choose to practise SQ1 again. Thanks for this and nice found !
     
  4. 1973486

    1973486 Member

    378
    153
    Jun 21, 2015
    Been trying to sort out the list recently, NotKevin helped me with finishing it. The "l" and "r" mean left and right. For A it's where the block is when the headlights are at the back, for U it's where the opposite edge is when the bar is at the back. If you use the other J/J alg, it might be better to switch them around.

    Group 1:
    T, Y, Ga, Gc, J, Ar, Ul

    Group 2:
    F, V, Gb, Gd, R, Al, Ur

    Ungrouped:
    H, Z, E, N
     

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