A Collection of Algorithms

Discussion in 'General Speedcubing Discussion' started by pjk, Mar 22, 2007.

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  1. Tao Yu

    Tao Yu Member

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    OLL 17
    FRU'R'U'S'RUR'F2f
    The last two moves are quite awkward for me. I can do it faster than RUR'UR'FRF'U2'R'FRF' which is what I'm using, but I'm not sure if I will use it in solves.

    I do the first S using my right thumb, which happens to be in the right place.
     
    Last edited: Oct 28, 2011
  2. IanTheCuber

    IanTheCuber Member

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    Alternate OLL's/ PLL's

    I have been able to uncover some alternate OLL's or PLL's that nobody else knows of. I know an alternative for 6 OLL's in general:

    OLL 19: y2 F R' F' R U R U' R' y' F (R U R' U') F'
    OLL 7: F R' F' R U2 R U2 R'
    OLL 8: R U2 R' U2 R' F R F'
    OLL 49: y2 F (R U R' U') F2 U' L' U L F
    OLL 50: y2 F' (L' U' L U) F2 U R U' R' F'
    OLL 52: y2 R' U' F R' F' R F R' F' R U R
    How many do you know?;)
     
    Last edited: Oct 29, 2011
  3. Escher

    Escher Babby

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    I know/use all of these...

    Except the first doesn't work?
     
  4. IanTheCuber

    IanTheCuber Member

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    Oops, I did the first one incorrectly...thanks for noticing.
     
  5. bobthegiraffemonkey

    bobthegiraffemonkey Member

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    D' R U R' D R U R' D' R U' R' D' R U' R'
    D R U R' D' R U R' D R U' R' D R U' R'

    For when that awkward F2L case comes up, or when you aren't very focused and inserted a couple of pairs wrong (on an unrelated note, I was tired last night when I was doing some casual solves.)
     
  6. IanTheCuber

    IanTheCuber Member

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    Here are all of most PLL's:

    2 Lookers

    Ua Permutation-R2 U R U R' U' R' U' R' U R'
    Ub Permutation-R U' R U R U R U' R' U' R2
    H Permutation-M2' U' M2' U2' M2' U' M2'
    Z Permutation-U M' U' M2' U' M2' U M' U2' M2'
    Aa Permutation-l' U R' D2 R U' R' D2 R2
    Ab Permutation-x R2 D2 R U R' D2 R U' R
    E Permutation-x U R' U' L U R U' r2 U' R U L U' R' U

    The Super-Duper Finger Tricky ones

    T Permutation-R U R' U' R' F R2 U' R' U' R U R' F'
    Y Permutation-F R U' R' U' R U R' F' R U R' U' R' F R F'
    Ja Permutation-y R' U L' U2 R U' R' U2 L R U'
    Jb Permutation-y' L U' R U2 L' U L U2 R' L' U
    F Permutation-R' U R U' R2 y' R' U' R U y x R U R' U' R2 B'
    V Permutation-r' F R F' r U r' F R' F' r U2 R U2 R'

    The Annoying Guys

    Ga Permutation-y R2' u R' U R' U' R u' R2 y' R' U R
    Gb Permutation-R' U' R y R2 u R' U R U' R u' R2
    Gc Permutation-y2 R U R' y' R2 u' R U' R' U R' u R2
    Gd Permutation-y R2' u' R U' R U R' u R2 y R U' R'

    I didn't include the R or N perms because nearly everyone uses the same alg.
     
    Last edited: Nov 19, 2011
  7. JyH

    JyH Member

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    Ua is R U' and Ub is R2 U.
    And that E perm alg sucks, try x' R U' R' D R U R' D' R U R' D R U' R' D'.
     
  8. teller

    teller REAL Fingertricks!

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  9. CRO

    CRO Member

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    I was messing around with the cube and found out that T perm with r instead of R is actually A perm.

    r U r' U' r' F r2 U' r' U' r U r' F'

    And mirror for other A perm.
     
  10. Tao Yu

    Tao Yu Member

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    This has been found before...a lot..
    Feliks used it in his 30.88 4x4 WR

    An interesting thing is that subsituting R for r in R2UR2U'R2U'DR2U'R2UR2D' and R2UR2U'R2y'R2U'R2uR2u' T perms changes them into A perms as well
     
  11. IanTheCuber

    IanTheCuber Member

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    You might as well use the normal A Perms unless you're in the exact position to preform the "wide T Perm"...
     
  12. Tao Yu

    Tao Yu Member

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    In that case you could also just use R U l' U' L U R' U' L' U (R2 x') U' R'
     
  13. kinch2002

    kinch2002 Premium Member

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    Based on Kir/Escher's double Z-perm. Here is a double O perm: M2 U M2 U' D' M2 D' M2 D2
    And other way is obvious: M2 U' M2 U D M2 D M2 D2
     
  14. Kirjava

    Kirjava Colourful

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    r2 U2 R2 F2 U' M2 U' F2 r2 U2 r2
     
  15. kinch2002

    kinch2002 Premium Member

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    Just experimented more with double O perms and here are algs for all 4 types you can get. Remember you can mirror and flip layers and whatever to similar algs that you might prefer for fingerticks.
    First direction is the U layer, second is the D layer.
    CCW/CW: M2 U M2 U' D' M2 D' M2 D2
    CW/CCW: M2 D M2 D' U' M2 U' M2 U2
    CW/CW: M2 D' M2 D U' M2 U' M2 U2
    CCW/CCW: M2 D M2 D' U M2 U M2 U2
     
  16. Kirjava

    Kirjava Colourful

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    K4 American Parity - (use inner slice turns)

    r2 U2 M' U2 r U2 r' U2 M U2 r' U2 r U2 r U2 r2

    Redux Double Parity - (use wide turns)

    r2 U2 x U2 r U2 r' U2 x' U2 r' U2 r U2 r U2 r2

    found by hand
     
    Last edited: Nov 24, 2011
  17. Kirjava

    Kirjava Colourful

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  18. qqwref

    qqwref Member

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    Dumping some optimal 2-F-move PLLs (there are probably a few optimal ones I missed but the optimal lengths should be accurate):

    Code:
    A-perm a
    HTM-optimal: 11f
     R U' R F2 R' U R' U' R2 F2 R2
    
    QTM-optimal: 15q
     R U' R F2 R' U R' U' R2 F2 R2
    
    A-perm a
    HTM-optimal: 11f
     R2 F2 R2 U R U' R F2 R' U R'
    
    QTM-optimal: 15q
     R2 F2 R2 U R U' R F2 R' U R'
    
    E-perm
    HTM-optimal: 18f
     R' U2 R U' F' R' U R' U2 R U R' U R2 F R' U' R
     R' U R F' R2 U' R U' R' U2 R U' R F U R' U2 R
     R U R' U R' F U' R2 U' R2 U2 R' U' R F' R' U R2
     R2 U F' U R' U' R U R' U' R U R' U' R F U' R2
     R2 U F' R' U R U' R' U R U' R' U R U' F U' R2
     R2 U' R F R' U R U2 R2 U R2 U F' R U' R U' R'
     R2 U2 F' U' R' U R U' R' U R U' R' U R F U2 R2
     R2 U2 F' R' U' R U R' U' R U R' U' R U F U2 R2
     F U R2 U' R U R' U R2 U' R' U R' U' R U' R F'
     F U' R U' R U R' U R U2 R' U R' U' R U2 R' F'
     F U' R U' R' U2 R U' R' U R' U2 R U R' U R F'
     F U' R' U R' U' R2 U R' U R U' R2 U R U' R F'
     F R U2 R' U R U' R U2 R' U' R U' R' U R' U F'
     F R' U R' U R U' R U R2 U' R U' R' U R2 U' F'
     F R' U R' U' R2 U R' U' R U' R2 U R U' R U F'
     F R' U' R U' R' U2 R U' R U R' U2 R U R' U F'
    
    QTM-optimal: 20q
     R2 U F' U R' U' R U R' U' R U R' U' R F U' R2
     R2 U F' R' U R U' R' U R U' R' U R U' F U' R2
     F U R2 U' R U R' U R2 U' R' U R' U' R U' R F'
     F U' R U' R U R' U R U2 R' U R' U' R U2 R' F'
     F U' R U' R' U2 R U' R' U R' U2 R U R' U R F'
     F U' R' U R' U' R2 U R' U R U' R2 U R U' R F'
     F R U2 R' U R U' R U2 R' U' R U' R' U R' U F'
     F R' U R' U R U' R U R2 U' R U' R' U R2 U' F'
     F R' U R' U' R2 U R' U' R U' R2 U R U' R U F'
     F R' U' R U' R' U2 R U' R U R' U2 R U R' U F'
    
    F-perm
    HTM-optimal: 15f
     R2 U R2 U2 F2 U R2 U2 R2 U R2 U' R2 U2 F2
     R2 U R2 U' R2 U2 R2 U' F2 U2 R2 U' R2 U' F2
     F2 U R2 U R2 U2 F2 U R2 U2 R2 U R2 U' R2
     F2 U2 R2 U R2 U' R2 U2 R2 U' F2 U2 R2 U' R2
     R2 U' F2 U2 R2 U' R2 U2 R2 U R2 U F2 U2 R2
     R2 U2 F2 U' R2 U' R2 U2 R2 U R2 U2 F2 U R2
    
    QTM-optimal: 19q
     R U R' U' R' U R U F' U R' U R U2 F R U' R'
     R U R' F' U2 R' U' R U' F U' R' U' R U R U' R'
     R U R U F' U' R U R' U' R' U2 F U' R' U2 R'
     R U2 R U F' U2 R U R U' R' U F U' R' U' R'
     R' U' R U' R' U R U R2 F' R U R U' R' F U R
     R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R
    
    G-perm a
    HTM-optimal: 15f
     F2 U R U2 R' U' R' U2 R2 U R' F2 R' U R
     R' U' F2 U R U2 R U2 R' U F2 U2 R U' R'
    
    QTM-optimal: 18q
     R U R' U' R' U F R U R U' R' F' U R' U2 R
    
    G-perm b
    HTM-optimal: 15f
     R' U' R F2 R U' R2 U2 R U R U2 R' U' F2
     R U R' U2 F2 U' R U2 R' U2 R' U' F2 U R
    
    QTM-optimal: 18q
     R' U2 R U' F R U R' U' R' F' U' R U R U' R'
    
    G-perm c
    HTM-optimal: 14f
     R2 U2 R2 F2 U' R2 U R2 U F2 U2 R2 U' R2
    
    QTM-optimal: 17q
     R2 U' R U' R U R' U R' F' R' U R U' F R'
    
    G-perm d
    HTM-optimal: 14f
     R2 U R2 U2 F2 U' R2 U' R2 U F2 R2 U2 R2
    
    QTM-optimal: 17q
     R F' U R' U' R F R U' R U' R' U R' U R2
    
    J-perm a
    HTM-optimal: 13f
     R' F R' U' R2 U' R2 U R' F' R U R2
     R2 U' R' F R U' R2 U R2 U R F' R
    
    QTM-optimal: 16q
     R' F R' U' R2 U' R2 U R' F' R U R2
     R2 U' R' F R U' R2 U R2 U R F' R
     F R' U R U' F' U R' U2 R U' R' U2 R
     R' U2 R U R' U2 R U' F U R' U' R F'
     R' U' R U F R U' R' U' R' U R2 U R' F'
     R' U' R U' R' U F U R' U' R F' R' U R2
     R2 U' R F R' U R U' F' U' R U R' U R
     F R U' R2 U' R U R U R' F' U' R' U R
    
    J-perm b
    HTM-optimal: 11f
     R U' F U' R' U' R U F' U2 R'
     R U2 F U' R' U R U F' U R'
    
    QTM-optimal: 12q
     R U' F U' R' U' R U F' U2 R'
     R U2 F U' R' U R U F' U R'
    
    N-perm a
    HTM-optimal: 15f
     R2 U R2 U' R2 U' F2 U' R2 U R2 U F2 U2 R2
     R2 U2 F2 U' R2 U' R2 U F2 U R2 U R2 U' R2
    
    QTM-optimal: 21q
     R U2 R2 U' R2 F' R U R' U' R' F R' U R U2 R'
     R U2 R' U' R F' R U R U' R' F R2 U R2 U2 R'
     R U R' U R U' F U' R' U' R U F' U2 R' U2 R U' R'
     R U R' U2 R U2 F U' R' U R U F' U R' U' R U' R'
    
    N-perm b
    HTM-optimal: 15f
     R2 U F2 U2 R2 U R2 U2 R2 U' R2 U2 F2 U' R2
     R2 U' R2 U2 F2 U' R2 U2 R2 U F2 U2 R2 U R2
    
    QTM-optimal: 23q?
     R U' R' U R' U2 R2 U R2 F2 U R U R U' R' U' F2
     F2 U R U R' U' R' U' F2 R2 U' R2 U2 R U' R U R'
     R' U2 R' U' R2 U F' U' R U R' U' R2 U2 R F R' U R
     R' U2 F U R2 U2 R' U' R U R' F' R U2 R' U' R' U R
     R' U' R U R U2 R' F R U' R' U R U2 R2 U' F' U2 R
     R' U' R F' R' U2 R2 U R U' R' U F U' R2 U R U2 R
    
    R-perm a
    HTM-optimal: 13f
     R2 F2 U R U R' U' R' U' F2 R' U R'
     R U' R F2 U R U R U' R' U' F2 R2
    
    QTM-optimal: 16q
     R2 F2 U R U R' U' R' U' F2 R' U R'
     R U' R F2 U R U R U' R' U' F2 R2
    
    R-perm b
    HTM-optimal: 13f
     R2 F R U R U' R' F' R U2 R' U2 R
     R' U2 R U2 R' F R U R' U' R' F' R2
    
    QTM-optimal: 16q
     R2 F R U R U' R' F' R U2 R' U2 R
     R' U2 R U2 R' F R U R' U' R' F' R2
    
    T-perm
    HTM-optimal: 14f
     R U R' U' R' F R2 U' R' U' R U R' F'
     F R U' R' U R U R2 F' R U R U' R'
    
    QTM-optimal: 15q
     R U R' U' R' F R2 U' R' U' R U R' F'
     F R U' R' U R U R2 F' R U R U' R'
    
    V-perm
    HTM-optimal: 15f
     R2 U2 R2 U R2 U2 F2 U R2 U R2 U2 F2 U' R2
     R2 U2 R2 U' F2 U2 R2 U' R2 U' F2 U2 R2 U R2
     R2 U F2 U2 R2 U' R2 U' F2 U2 R2 U' R2 U2 R2
     R2 U' R2 U2 F2 U R2 U R2 U2 F2 U R2 U2 R2
    
    QTM-optimal: 19q
     R U' R' U R F R' U' R2 U R U' R U R2 F' R'
     R F R2 U' R' U R' U' R2 U R F' R' U' R U R'
    
    Y-perm
    HTM-optimal: 14f
     R2 U' R2 U F2 U' R2 U' R2 U F2 R2 U R2
     R2 U' R2 F2 U' R2 U R2 U F2 U' R2 U R2
    
    QTM-optimal: 19q
     R2 U' R2 U' R2 U R' F' R U R2 U' R' F R
     R' F' R U R2 U' R' F R U' R2 U R2 U R2
     R' U' R U' R U' F U' R' U' R U F' U2 R2 U R
     R' U' R2 U2 F U' R' U R U F' U R' U R' U R
     
  19. Kirjava

    Kirjava Colourful

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    U2R2DRU2R'D'RU2RU2

    edit: R2 U2 r B R2 B' r' U R2 U R2
    R2 D2 z2 R U r2 D' R' D r2 U r2
     
    Last edited: Dec 9, 2011

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