Page 1 of 2 1 2 LastLast
Results 1 to 10 of 14

Thread: Noob's Approach to Missing Link for ZZ-d (it sucks, but it still works! :D)

  1. #1
    brah blah's Avatar
    Join Date
    Dec 2007
    Location
    Cantucky
    WCA Profile
    2009LIAN03
    YouTube
    blahcel
    Posts
    2,141

    Default Noob's Approach to Missing Link for ZZ-d (it sucks, but it still works! :D)

    Disclaimer: Whatever I'm gonna post down here is very noobish and even trivial, and it's not the same as the original Missing Link concept proposed by ZZ himself.

    The Missing Link is supposed to permute corners. But doing it at the end of the 2x2x3 block is ridiculously difficult imo because one has to keep track of 6 unsolved corners.

    So, like all my other "methods" (I prefer the term "approaches") proposed in the last few days, I've found a way to fix the Missing Link problem just before LL. So far I've already got the algs for the R U' R' insertion case. There are only 6 algs, because there are only 6 ways the LL corners can be permuted.

    It'd take me less than 5 minutes to generate algs for the R U R' case so it's not that big a deal. The main problem now is recognition. Extremely time-consuming. I'll start working on the R U R' case once I solve the recognition problem for the R U' R' case. In the meantime, if you get an R U R' case, you can just do R U2 R' to set it up into an R U' R' case

    Here are the algs:
    (ULF = 1, URF = 2, URB = 3, ULB = 4)
    To swap nothing: R U' R' (3)
    To swap 1 and 2: U' L' U R U' R' L or B' R U' R' U B (7 or 6)
    To swap 2 and 3: U R U L' U R' U' L (8) (7 without initial AUF)
    To swap 3 and 4: y L' U' L F R U' R' F' (7)
    To swap 4 and 1: R U2 L' U R' U' L (7)
    To swap diagonal corners: L' U2 R U R' U2 L (7)

    Probability of getting every case is 1/6. So to force a 2-gen 1LLL, you'd be doing (3 + 5*7)/6 - 3 = 3.33 more moves on average for your F2L. Pretty worthwhile for a 2G1LLL imo.

    Main problem now is recognition. I've been working on a system that works for me and maybe some others, but might not work for everyone in general. This is due to the fact that I always start with white on U and red on F for ZZ, and I never do cube rotations. Also, my BLD cube orientation is white on U and red on F as well. With these two complementing factors, I know my LL corners very well, e.g. I know instantly that white-blue-red is named "2" and it belongs to UFR.

    So here's the system: Just before the R U' R' insertion, look at the UFR, URB and UBL corners, in that order (or in any other order you like). And memorize that number sequence. E.g. If I have white-red-green, white-orange-green and white-red-blue on UFR, URB and UBL respectively, then my number sequence would be 142. Then, figure out which alg to apply.

    Here's my list:
    R U' R': 142, 213, 324, 431
    U' L' U R U' R' L: 143, 214, 321, 432
    y L' U' L F R U' R' F': 123, 234, 341, 412 (most obvious number patterns for the hardest alg )
    U R U L' U R' U' L: 132, 243, 314, 421
    R U2 L' U R' U' L: 134, 241, 312, 423
    L' U2 R U R' U2 L: 124, 231, 342, 413

    If you look at the URF, URB and UBL corners in the same order as I do, and use the same numbering scheme as I do, then you should have the same list. If not, you'd have to generate your own list

    Here's the problem: The numbers don't appear to follow any pattern. In fact, I'm pretty sure they don't. So if you were to use this system, you'd have to brute force memorize all these by heart, and instantly know what alg to apply when you get a random number sequence like 324. That doesn't sound too nice.

    So I've come up with something else that's still in the works. I've reassigned every corner to a specific letter, instead of a number. However, this is a real pain in the butt because it's hard to find 4 letters that give you pronounceable, meaningful words no matter how you arrange any 3 of them. I've come up with YAMO and SAKI and a few of their variations so far. Few rules to note if you wanna use this system, make sure your two consonants are pronounceable when put together either way. Something like G and B wouldn't work because AGB isn't pronounceable and neither is BGA. Also, Y is a nice consonant to use because it can double as a vowel sound. E.g. if I reassign 1, 2, 3 and 4 to Y, A, M and O respectively, 341 would become MOY and 231 would become AMY. That's about how it works.

    Another alternative could simply be the Major System. Go Google/Wikipedia that if you don't know what that is. I think the Major System can be really useful for this. I might just learn it if my current reassign-to-letters approach doesn't work well.

    Okay, that's all. It doesn't solve the original Missing Link problem, but it does give 2G1LLL
    Last edited by blah; 01-24-2009 at 01:56 AM.
    LIKE OMG AND WOW FAMOUS UPSIDE-DOWN RUBIKS

  2. #2
    Super-Duper Moderator Lucas Garron's Avatar
    Join Date
    Jul 2007
    Location
    Where the rolling foothills rise
    WCA Profile
    2006GARR01
    YouTube
    LucasGarron
    Posts
    3,060

    Default

    Missing Link not as in the puzzle?
    garron.us | cubing.net | twisty.js | ACube.js | Mark 2 | Regs | Show people your algs: alg.cubing.net

  3. #3
    Member
    Join Date
    Jul 2008
    Posts
    10

    Default

    Sounds interesting.. How many 1LLL algorithms does that give you?
    I have though about something like this a couple of weeks ago, but i was focusing on the 3rd F2L slot instead, and then use the 4th slot for edge phasing.

    I use the same cube orientation for ZZ and BLD as you do :-)
    Last edited by andreassb; 01-21-2009 at 02:21 AM.

  4. #4
    brah blah's Avatar
    Join Date
    Dec 2007
    Location
    Cantucky
    WCA Profile
    2009LIAN03
    YouTube
    blahcel
    Posts
    2,141

    Default

    Quote Originally Posted by Lucas Garron View Post
    Missing Link not as in the puzzle?
    Nope

    Quote Originally Posted by andreassb View Post
    Sounds interesting.. How many 1LLL algorithms does that give you?
    I have though about something like this a couple of weeks ago, but i was focusing on the 3rd F2L slot instead, and then use the 4th slot for edge phasing.

    I use the same cube orientation for ZZ and BLD as you do :-)
    I don't like this method at all actually 27*12 = 324 algs if I'm not mistaken. Edit: I was mistaken after all, it's 84, not 324

    2G1LLL is probably gonna be longer than RUL 3-gen LL. If you really hate L moves that much, every RUL 3-gen alg can be customized to consist of at most 1 L move and 1 L' move while the rest of the moves are R and U turns (this can be proven very easily).

    AND recognition time for my Missing Link method sucks.

    Disadvantages of this method so far (in my opinion):
    1. Recognition for Missing Link sucks
    2. Recognition for 2G1LLL sucks (relative to ZZLL and my 1LLL variation)
    4. Lengths of algs suck
    5. Not really a disadvantage, more like "not an advantage over other variations": You don't even get 1 step fewer. What's the point of having easy-to-perform 1LLL algs when you have to go through so much $#!% just to achieve that?

    Are you still sure you wanna learn this?

    Edited.
    Last edited by blah; 01-21-2009 at 01:07 PM.
    LIKE OMG AND WOW FAMOUS UPSIDE-DOWN RUBIKS

  5. #5
    Member
    Join Date
    Jul 2008
    Posts
    10

    Default

    Nope, that was exactly why i abadonned my versoin with 3rd/4th slot ;-)
    Also, I like your corner-control method a lot better.

  6. #6
    Member
    Join Date
    Jun 2007
    Location
    Gainesville, Florida
    WCA Profile
    2008LOFT01
    YouTube
    Loftycuber
    Posts
    1,585

    Default

    you don't need so many letters, its just 2GLL thats it lol.
    recognition for 2GLL doesn't suck, its quite easy with practice.
    I thought the extra length was made up for by the fact that they are 2gen?
    OH Records: Single: 9.xx Average of 12: 16.13 Average of 5: 15.03
    www.loftycuber.110mb.com

  7. #7
    brah blah's Avatar
    Join Date
    Dec 2007
    Location
    Cantucky
    WCA Profile
    2009LIAN03
    YouTube
    blahcel
    Posts
    2,141

    Default

    Quote Originally Posted by Lofty View Post
    I thought the extra length was made up for by the fact that they are 2gen?
    Got a point there
    LIKE OMG AND WOW FAMOUS UPSIDE-DOWN RUBIKS

  8. #8
    Member
    Join Date
    Jun 2008
    WCA Profile
    2008HORD01
    Posts
    44

    Default

    There are 84 2GLL situations, unless I've messed up the calculation. (12 cases for each cross-OLL case).

    As far as my experience goes, 2GLL cases are as easy to recognize as ordinary ZBLL.

    What's more: they're fast like nobody's business (extremely finger shortcut-friendly). Way faster on average than full ZBLL.
    Last edited by MHordecki; 01-21-2009 at 10:31 AM.
    Bazinga!

  9. #9
    brah blah's Avatar
    Join Date
    Dec 2007
    Location
    Cantucky
    WCA Profile
    2009LIAN03
    YouTube
    blahcel
    Posts
    2,141

    Default

    Quote Originally Posted by MHordecki View Post
    There are 84 2GLL situations, unless I've messed up the calculation. (12 cases for each cross-OLL case).
    There are 27 cross-OLLs 3^3 = 27. Edit: I was stupid. MHordecki's right

    Quote Originally Posted by MHordecki View Post
    As far as my experience goes, 2GLL cases are as easy to recognize as ordinary ZBLL.
    You mean as hard
    Last edited by blah; 01-21-2009 at 01:08 PM.
    LIKE OMG AND WOW FAMOUS UPSIDE-DOWN RUBIKS

  10. #10
    Member
    Join Date
    Jun 2008
    WCA Profile
    2008HORD01
    Posts
    44

    Default

    Quote Originally Posted by blah View Post
    There are 27 cross-OLLs 3^3 = 27.
    Can you prove that? How many cross-OLLs are there in COLL?

    Quote Originally Posted by blah View Post
    You mean as hard
    Actually it's rather simple, provided you can recognize COLL on the fly.
    Check out Jason Baum's excellent article: http://jmbaum.110mb.com/zbll.htm
    Bazinga!

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •