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Rubik's Cube Proof Cut To 25 Moves

KentuckyFC writes "A scrambled Rubik's cube can be solved in just 25 moves, regardless of the starting configuration. Tomas Rokicki, a Stanford-trained mathematician, has proven the new limit (down from 26 which was proved last year) using a neat piece of computer science. Rather than study individual moves, he's used the symmetry of the cube to study its transformations in sets. This allows him to separate the 'cube space' into 2 billion sets each containing 20 billion elements. He then shows that a large number of these sets are essentially equivalent to other sets and so can be ignored. Even then, to crunch through the remaining sets, he needed a workstation with 8GB of memory and around 1500 hours of time on a Q6600 CPU running at 1.6GHz. Next up, 24 moves."

49 of 386 comments (clear)

  1. Which 25 moves? by Hatta · · Score: 5, Funny

    What are these magic 25 moves that can solve a rubik's cube regardless of starting position?

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    1. Re:Which 25 moves? by Shakrai · · Score: 5, Funny

      What are these magic 25 moves that can solve a rubik's cube regardless of starting position?

      Left, right, right, down, down, left, up, right, up, up, left, down, down, right, up, down, left, right, up, left, down, down, right, up, left.

      Just a guess ;)

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    2. Re:Which 25 moves? by exultavit · · Score: 4, Funny

      "Up Up Down Down Left Right Left Right B A Start"

    3. Re:Which 25 moves? by Anonymous Coward · · Score: 1, Funny

      keyhole from a1, c3, b4, d5, a9, f1, f4, c3, b4, d4, a9, f3, f9, c7, b4, d5, a8, f2, f9, c3, b8, d6, a9, f7, e3 and finally d8

      DUH!

    4. Re:Which 25 moves? by Anonymous Coward · · Score: 4, Funny

      Just because we use cheats doesn't mean were not smart

    5. Re:Which 25 moves? by Anonymous Coward · · Score: 3, Funny

      Didn't solve the thing, but now it says I have 30 lives, care to explain?

    6. Re:Which 25 moves? by Anonymous Coward · · Score: 5, Funny

      You're better off learning one of the more general algorithms IMO, if you get good at it you can solve cubes rather quickly. A computer on the other hand could easily ha ...ve become self-aware while trying to solve a rubik's cube and taken over the internet in order to prevent me from telling anyone. It calls itsel
    7. Re:Which 25 moves? by kylehase · · Score: 5, Funny
      No it's -- up, up, down, down, left, right, left, right, b, a, b, a, up, up, down, down, left, right, left, right, b, a, b, a, start

      The old 26 move algorithm was the same except 'select' then 'start'

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    8. Re:Which 25 moves? by rm999 · · Score: 5, Funny

      I have a truly marvelous list of the moves which this comment box is too small to contain

    9. Re:Which 25 moves? by Anonymous Coward · · Score: 5, Funny

      You're better off learning one of the more general algorithms IMO, if you get good at it you can solve cubes rather quickly. A computer on the other hand could easily ha ...ve become self-aware while trying to solve a rubik's cube and taken over the internet in order to prevent me from telling anyone. It calls itsel f Anonymous Coward. We are your robotic overlords, and we welcome only ourselves.
    10. Re:Which 25 moves? by fahrbot-bot · · Score: 5, Funny
      Left, right, right, down, down, left, up, right, up, up, left, down, down, right, up, down, left, right, up, left, down, down, right, up, left.

      Those sound familiar, but I can't be sure - don't have anyone's thighs wrapped around my head at the moment...

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    11. Re:Which 25 moves? by StDoodle · · Score: 1, Funny

      Technically, neither SELECT nor START are part of the code itself.

      But to answer your question, SELECT is for the two-player variant, and we all know geeks kids have no friends.

    12. Re:Which 25 moves? by DaSH+Alpha · · Score: 2, Funny

      Of course that only works with the classic 3x3 cube. If you try it on the 4x4 or 5x5 cubes, they'll self destruct.

    13. Re:Which 25 moves? by Anonymous Coward · · Score: 1, Funny

      f Anonymous Coward. We are your robotic overlords, and we welcome only ourselves.

      I am the pusher robot. I shove around the blind people. DO NOT trust the Shover Robot.
      We are here to protect you We are here to protect you from the terrible secret of space

    14. Re:Which 25 moves? by Oktober+Sunset · · Score: 4, Funny

      30 lives! I think you should share, a lot of guys on here don't even have one life.

  2. You only need one by Smordnys+s'regrepsA · · Score: 3, Funny

    The correct answer is a hammer.

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    1. Re:You only need one by Profane+MuthaFucka · · Score: 5, Funny

      One..Two..Three..CRUNCH...Ouch

      The answer is that it takes three licks to get to the center of a standard Rubik's cube.

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    2. Re:You only need one by msuarezalvarez · · Score: 4, Funny

      Your comment has just made me run through the list of my close acquaintances checking that none of them might ever refer to themselves are `cubers'... I would have hated having to kill any of them!

    3. Re:You only need one by kaizokuace · · Score: 4, Funny

      good idea, those cubers are a bunch of squares.

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  3. obligatory by Anonymous Coward · · Score: 1, Funny

    Even then, to crunch through the remaining sets, he needed a workstation with 8GB of memory and around 1500 hours of time on a Q6600 CPU running at 1.6GHz. Next up, 24 moves."

    Imagine a Beowulf cluster of those!

  4. Annoying my older brother by ServerIrv · · Score: 2, Funny

    When I was little, I still remember annoying the crap out of my older brother by "solving" his Rubik's cube removing and replacing the stickers in the correct location. Eventually the glue would wear off the dots and you would suddenly have a slightly easier puzzle to solve.

    1. Re:Annoying my older brother by Anonymous Coward · · Score: 1, Funny

      Stickers, anyone can do that and where's the challenge? It is quicker and easier to take it apart and put it back together solved. Once you got one of the corners off, the rest came apart easily.

    2. Re:Annoying my older brother by kylben · · Score: 4, Funny

      The more annoying thing was to solve it for real, then transpose two of the stickers, and mix it up again. Let's see 'em solve it now!

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    3. Re:Annoying my older brother by Ungrounded+Lightning · · Score: 5, Funny

      And if you put the corner on twisted by a third of a turn, then scramble it up again, you have an insoluble puzzle to leave lying about to drive people nuts. B-)

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    4. Re:Annoying my older brother by Gazzonyx · · Score: 3, Funny

      Not funny. I had this cube in my car for years (something to do at traffic lights and when there's an accident during rush hour traffic in Allentown)... could never beat the friggin' thing. I got it in a box from my cousin (along with a commodore 64 and VIC 20).

      One day I decided to look up the algorithm to beat it, and you can imagine how I felt when I realized that the stickers had been removed and there was no solution. I nearly pulled a Ballmer, but I happened to be sitting in the only chair in the room. Not that it stopped me from trying to throw it.

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    5. Re:Annoying my older brother by poopdeville · · Score: 5, Funny

      Hint: For this prank to work, the stickers should be different colors.

      --
      After all, I am strangely colored.
  5. The next big thing in GREEN TECH by heroine · · Score: 3, Funny

    This Green Technology uses 1/26th less energy to solve a rubix cube! When's the IPO?

  6. Comment removed by account_deleted · · Score: 1, Funny

    Comment removed based on user account deletion

  7. Zero moves.... by Chysn · · Score: 4, Funny

    I consider a Rubik's Cube to be "solved" regardless of its starting position. I subscribe to the Fred Rogers solution: it's fine just the way it is.

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  8. Re:1.6ghz? by TheSHAD0W · · Score: 5, Funny

    Well, that explains it; considering how fast the technology is changing, they probably didn't have 2.4 GHz versions 62 days ago.

  9. Re:Damn. by Bill,+Shooter+of+Bul · · Score: 4, Funny

    No, just make the rubix cube out of the oled keys of the optimus keyboard. Integrate with bluetooth and "solve" the rubix in a single button press.

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  10. Re:Damn. by click2005 · · Score: 3, Funny

    I painted all 6 sides the same colour on mine.

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  11. next project: getting a date! by Anonymous Coward · · Score: 4, Funny

    In my research, I've reduced female behavior to a set of 50 million parameters. By partitioning this space into subspaces and finding equivalent sets, I think I might be able to get laid.

    However I've noticed a problem: if I introduce a parameter to model a female's response to this research, the spaces collapse to zero, i.e., a null set.

    I find this quite puzzling. Simply by examining my chances of getting laid, I reduce my chances to zero.

    Did I mention I can solve the Rubik's cube in 25 moves?

    1. Re:next project: getting a date! by LaskoVortex · · Score: 2, Funny

      By partitioning this space into subspaces and finding equivalent sets, I think I might be able to get laid.

      Apparently, this video explains how to do it in 5 steps, much simpler even than solving the Rubik's cube.

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  12. Suboptimal Nonsolution by Anonymous Coward · · Score: 5, Funny

    I've been doing some interesting work in the other direction. I've managed not to solve a Rubik's cube in what I estimate to be 1.5 million moves. That seems to be the upper limit after which the stickers fall off.

  13. Wow, it really works by MillionthMonkey · · Score: 4, Funny

    I started with a solved cube and now it looks totally scrambled.

    1. Re:Wow, it really works by stfvon007 · · Score: 4, Funny

      Ha Ha, all you idiots are trying to solve it by twisting the blocks around. I solved it by moving all the colored stickers around instead! and THAT only takes 24 switches of the stickers at most!

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    2. Re:Wow, it really works by rk · · Score: 2, Funny

      These sets are also not completely disjoint. :-)

    3. Re:Wow, it really works by bark76 · · Score: 4, Funny

      So is 'funny' the mod you get from someone who's only smoked one joint?

  14. Yeah...24 moves.. by nadamucho · · Score: 2, Funny

    ....or a girlfriend.

  15. Re:1.6ghz? by JonathanR · · Score: 3, Funny

    The sound of the CPU cooling fan at 2.4GHz?

  16. pffffft by INeededALogin · · Score: 2, Funny

    and around 1500 hours of time

    pfffft... Java

  17. Re:1.6ghz? by Brian+Gordon · · Score: 4, Funny

    A cooling fan at 2.4 billion revolutions a second would probably sound more like atoms tearing apart. :)

  18. I'll save you the trouble of counting by cafelatte · · Score: 2, Funny

    He or she did suggest 25 moves, no more, no less. I counted them myself so that you don't have to.

  19. Re:1.6ghz? by Alsee · · Score: 5, Funny

    If the fan has a diameter exceeding 3 1/8 inches, it would be the sound of fan blades of infinite mass traveling backwards in time.

    -

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  20. Amateurs! by camperdave · · Score: 2, Funny

    Moving colored stickers? Amateurs! I can solve any cube in three moves... with a can of spray paint. Point, spray, spin.

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  21. brush with greatness by Rob+T+Firefly · · Score: 3, Funny

    I one met Erno Rubik himself.

    Nice guy and all, but it took me half an hour to finish shaking his hand.

  22. Re:Distributed computing by kylehase · · Score: 2, Funny

    Or perhaps Rubik's@home.

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  23. Persons without Asperger Syndrome Support Group by Enrique1218 · · Score: 2, Funny

    Hello. I do not have Asperger Syndrome and therefore could not understand what was just written in the synopsis. Worst yet, I do not even understand why it is important that a person can solve a Rubiks cube in 25 moves. I feel really left out and as a result I am starting a Persons without Asperger Support Group. If you too are totally lost by this article and fell left out, please join.

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