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 Post subject: "f2l" oll pll skip?
PostPosted: Mon Jul 27, 2009 10:14 pm 
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Recently one of my friends who knows very little about cubes asked my to scramble a 3x3 for him. I then proceeded to scramble it and then handed it to him. As I sat there watching him randomly twisting it when he finally got one side. We both then realized he had solved the whole cube.

HOW IS THIS POSSIBLE?????
i don't see how a scrambled cube could be set so that it solves after only one layer. if this has ever happened to you or you know some way its possible please reply.


-will

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Mon Jul 27, 2009 10:18 pm 
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Simply not scrambled enough.


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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Mon Jul 27, 2009 11:20 pm 
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^
what he said


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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Jul 28, 2009 12:26 am 
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After one side is solved there are still 8!*4!*2^6*3^3=1672151040 positions left. One is the solved position. So you have a 1/1672151040 chance of having that happen.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Jul 28, 2009 1:23 pm 
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43300000000000000000 combinations so if 1 in every 7 people in the world have twisted a cube 100 times almost 7 billion people in the world that is 100 billion randomly selected combinations and another half a billion people have twisted in 1000 times, that would be 500 billion. So that is a mere 600 billion put together. Therefore, if every combination were different only .00000138% of the total combinations would be covered...worldwide.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Jul 28, 2009 1:53 pm 
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I've had it so that I only had to solve the first layer and 1 middle edge and then the rest was solved. Lucky/bad scrambling I guess.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Jul 28, 2009 9:47 pm 
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SaiyanKirby wrote:
I've had it so that I only had to solve the first layer and 1 middle edge and then the rest was solved. Lucky/bad scrambling I guess.

Well the chance of that is 1/209018880 so it's still unlikely, but even more possible.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Jul 28, 2009 10:29 pm 
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i was positive it had been scrambled.
this must have just been some serious luck on his side.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Jul 28, 2009 10:33 pm 
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If it wasn't regulation scrambled, I highly doubt luck was involved. The statistics are, there is the 1/1672151040 chance, however the odds are actually even lower. Because of the chance, the odds you would successfully scramble a cube, AND get that or even lower than that. Sorry to say, but it is almost more than statisticaly impossible for you to have fully scrambled it and it worked, because a good scramble would involve making sure there weren't an unrealistic amount of paired pieces, without which, you couldn't have done it. So you are wrong, and mistaking, you must not have fully scrambled the cube fully.


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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Wed Jul 29, 2009 2:44 am 
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Interesting.

I think it would be possible to devise a solve where no side is solved until the last two moves -say RF. In other words you take the cube to a position where RF solves it. It would require some mental dexterity.

[Edit]or you could solve it with the centres wrong and finish with a centre 3-cycle.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Fri Aug 07, 2009 11:27 am 
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Just out of curiousity, what is the likelyhood of having a full LL skip?

Funny thing happened to me last night, same kind of deal. I was solving like normal, but I was messing with some ZBLL stuff, and while I was solving the cross while inserting the last F2L pair, not only was it an OLL skip but it was a PLL skip too.

I thought it was a 1 in 1211 possibility, and of course it wasn't random in that I was trying to make a cross on the top while solving the last F2L pair... but still. I think my math might be off :)

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Fri Aug 07, 2009 12:49 pm 
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In fridrich the chance of a LL skip is the chance of a oll skip times the chance of a pll skip, 1/72 * 1/216 = 1/15552
With ZB you fix the edges orientation right? the chance of a LL skip would then be greater because there are far less OLL cases.

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 Post subject: Re: "f2l" oll pll skip?
PostPosted: Tue Aug 11, 2009 7:59 am 
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Quick, tell your friend to go buy a loto! Now!!! :lol:

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