A Collection of Algorithms

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

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  1. Kirjava

    Kirjava Colourful

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    come on... (rU2)*5 is nine moves without the last U2 that preserves centres.

    no idea for LL though.
     
  2. Christopher Mowla

    Christopher Mowla Premium Member

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    Too long to not have in a spoiler.
    It's helpful to note that (r U2)5 U2 = [r: [U2, r] [r2 U2: r]]

    That is,
    r
    U2 r U2 r'
    r2 U2
    (r)
    U2 r2
    r'

    Clearly the first and last moves are outer conjugates to complete the centers, the second piece is a commutator, the parenthesized move is the quarter turn. The only not so obvious part (well not to me, but...) is the r2 U2 conjugates.

    If you start out with a solved cube and do U2 r U2 r' r2 U2, you will see that when you do (r) next, the 1x(n-2) center block in face B in slice r replaces the 1x(n-2) center block in face D in slice r of the same color. In fact, that's why this 4-cycle even works at all, because with these conjugates, r2 U2, around the quarter turn, we displace only half of the center pieces. This is similar to my main method for forming 2-cycles, regardless if it's wide turn based (the Holy Grail) or single slice turn based (conventional algs) because we do a 3-cycle of three fourths of a slice and do a quarter turn to put back half of the center pieces.

    The "Standard Dedge Flip" alg, or any other 2-cycle algorithm I have derived or my methods apply to can be derived this way too.

    Since (r U2)5 U2 is 2-gen, the most popular dedge flip alg that can be modeled exactly like it is "Waffle's Alg" (I know that Sarah said Chester posted it before...anyway)

    l U2 r' U2 r U2 l' U2
    r U2
    (r')
    U2 r'


    (Just conjugate all of that with r' U2 r2 to achieve a transformation of that alg).

    The algorithm I posted previously is literally a 2-cycle of wings but with 3x3x3 distortion as well, not a 4-cycle (you probably know this, but it seems you are relating the two different cycles too closely). Proof: See the translation link to the 5x5x5.

    If there is a 2-cycle algorithm of length 9 (or even less than 12) that can preserve the centers, much less everything but the LL, I certainly don't know how to approach it. I believe I have shown that I have a good understanding of (r U2)5 U2 to the extent that I linked my representation of it with my methods. Keep in mind also that (r U2)5 U2 is so brief because, by my outline, there were several move cancellations and the commutator was as brief as a commutator can be.
     
    Last edited: Sep 23, 2011
  3. Kirjava

    Kirjava Colourful

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    Anyone have something good for this; M' U r2 F2 r F R' F2 r U' R M ?
     
  4. Cubenovice

    Cubenovice Forever Slow

    As you're Roux I suppose you are not looking for the standard M U R U R' U' M2 U R U' r' as OLL?
    But rather something that solves the whole cube...
     
  5. Kirjava

    Kirjava Colourful

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    lol of course not - OLLCP plz
     
  6. Cubenovice

    Cubenovice Forever Slow

    Still not enough info :)

    Do you want something instead of M' U r2 F2 r F R' F2 r U' R M or something thart solves M' U r2 F2 r F R' F2 r U' R M
     
  7. Kirjava

    Kirjava Colourful

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    They're both the same things. ;)

    EDIT:
    <+RobertY> x R B' R2' U2 B' R U R' B U2 R2 B R' x'
    <+RobertY> F R' F R2 U R' U' F2 U' L F' L' F
    <+RobertY> Colourful: there's also R' F R F' U R2 U B U' B2 R' B R'
    (M' U') (R2 B2 R' U' r B2 R') (B r2' R)
     
    Last edited: Sep 24, 2011
  8. teller

    teller REAL Fingertricks!

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    OLL 47

    [​IMG]

    S' R U2 R2 U' R2 U' R2 U2 R S
     
  9. Rpotts

    Rpotts Member

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    there is no way that is faster than B' (R' U' R U)*2 B or mirrors or y2 R' U' (R' F R F')*2 U R

    how fast can you do it?
     
  10. teller

    teller REAL Fingertricks!

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    I have not finished the grips on this yet, so I cannot say. Wanted to put it out there because it *oozes* RU potential and you know RU can really fly sometimes. The S is probably off-putting, but I hope to set that right...
     
  11. teller

    teller REAL Fingertricks!

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    Lefty R-Perm:

    [​IMG]

    S R' U R U' S' U' R' U R U x' U' R U R'
     
  12. ianography

    ianography Member

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    I have yet to see you sub-1 a case with an 'S'. Video pl0x?
     
  13. teller

    teller REAL Fingertricks!

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    My "S" rotationless F2L edge insert is easily sub 1. Does that count? But no...no promises on the sub-1...who do you think I am, Andrew Ricci? :)
     
  14. Kirjava

    Kirjava Colourful

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    R2 yz R2 x' D R2 xz'y' R2 U2 R2 yz R2 x' D R2 xz'y' R2

    noregrip
     
    Last edited: Sep 30, 2011
  15. Kirjava

    Kirjava Colourful

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    R2 F2 r U2 R U' r2 F2 r F R

    still on the OLLCP journey ~_~
     
  16. uberCuber

    uberCuber Member

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    Wtf
    How fast can you do that?
     
  17. Kirjava

    Kirjava Colourful

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  18. cubersmith

    cubersmith Member

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    I think <R,U,F> is better than <R,U,L> but 0.8x is good :O
     
  19. Kirjava

    Kirjava Colourful

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    r' U' R' F2 R2 U r' F2 R' F2 r2
    R' F R y' R2 U' R y R U2 R' U y' R' U R
    R U R' U y' R' U2 R y R U' R2 F R F'
    r' U' R' F2 R2 U R' M' F2 R' F2 R2

    I hate this case.
     
  20. ben1996123

    ben1996123 Banned

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    F2L flip in BR: R' U R' F R F' R U'
    Triple sexy: z l2 U R' F R F' R U'
     

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