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I figured it out when it first came out. It did take me several weeks, but eventually I managed it. The problem was always remembering how to solve the last layer. I have one sitting on my end table and solve it every now and then, to keep it fresh.
INTP
"Program testing can be used to show the presence of bugs, but never to show their absence." - Edsger Dijkstra
"I have never been lost, but I will admit to being confused for several weeks. " - Daniel Boone
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I carefully observed what happened when I made combinations of turns. The "proof" that I didn't use the book is that I solve first Top, then Bottom, then fill in the middle pieces. The book teaches you to solve it top to bottom.
<sig notetoself="think of a better signature">
<first>Jim</first> <last>Meadors</last>
</sig>
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And I lose interest and patience very quickly.
GCS d--(d+) s-/++ a C++++ U+++ P- L+@ E-- W++ N+ o+ K- w+++ O? M-- V? PS+ PE- Y+ PGP t+ 5? X R+++ tv-- b+(+++) DI+++ D++ G e++ h--- r+++ y+++* Weapons extension: ma- k++ F+2 X
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Same here.  
Everyone is born right handed. Only the strongest overcome it.
Fight for left-handed rights and hand equality.
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and I fear it was more luck than skill 
M.D.V. 
If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about?
Help me to understand what I'm saying, and I'll explain it better to you
Rating helpful answers is nice, but saying thanks can be even nicer.
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It's impossible to solve the cube by luck. There are 43,252,003,274,489,856,000 possible states, every random move have a much higher chance to make it further from the solution then closer to it. If you were playing with the cube since the big bang you still wouldn't have even a remote chance of solving by now, with luck.
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Well, it doesn't mean every move had to be lucky! Perhaps he got it down to the last 2 or 3 pieces and then luckily hit the right moves.
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What are the chances of being born?[^]
but you are here, and so do I (luckily for us) 
M.D.V.
If something has a solution... Why do we have to worry about?. If it has no solution... For what reason do we have to worry about?
Help me to understand what I'm saying, and I'll explain it better to you
Rating helpful answers is nice, but saying thanks can be even nicer.
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I can solve it by referring to a book (rather a booklet) I bought way back in 1987.
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I think I got the same. I memorized this universal algo when I was kid, with some practice I could solve it reliably under 1 minute.
However I yet to meet a person who can fully solve the cube without using a guide or algorithms. The first two layers are straight forward, but putting the corners in place on the 3rd layer is well beyond the capabilities of my spatial perception (without guide), and I guess its true for the vast majority of people.
So the real questions should be: Could you solve Rubic's Cube all by yourself?
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I spent the summer after it came out twisting it back and forth until I had learned enough combinations that I could always solve it. Then I heard about the 4x4x4 Rubik's Revenge and had to have it the day of release. And found that it could be solved by solving it down to something that matched the configuration of the 3x3x3 cube and then solving it as if it was a 3x3x3 cube. I have a 5x5x5 cube that is still in virgin un-elephanted state that I may never mess it up... 
<sig notetoself="think of a better signature">
<first>Jim</first> <last>Meadors</last>
</sig>
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The idea behind the cube is so simple but I have deepest respect for its creator.
There have been many clones out there, be it snakes, balls, all acting with the same principles, but... the cube is the cube.
This is true for the movies and this puzzle game
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