How to solve a cube 3x3x3 only with one algorithm without additional moves.
Author of idea – Eugene Benek from Kazakhstan.
For solving we will use a J-permute algorithm: λ = R U' L U2 R' U R U2 L' R' USequence of solving:
- Solving all edges around centers
- Solving all corners
My demo-video for this "crazy" method - http://youtu.be/7SopDBFCusI
Yes!!! I did it!!! Total, on solving of the cube was required:
605 / 11 = 55 λ
605 - total number of movements
11 - count of moves in this algorithm (λ)
It is very interesting task! I recommend to try.Rules:
It is forbidden to use any additional moves except this algorithm! Also it is forbidden to use the mirror version of this algorithm!Tricks with λ-algorithm:
- U = λ y λ y λ
- U' = λ y' λ y' λ
- U2 = (λ y2 λ y λ y2 λ) or (λ y2 λ y' λ y2 λ)
In my demonstration I didn't use tricks with U, U', U2.
If to emulate algorithms by means of these tricks you need bigger quantity of J-permute. I so think. In this case the algorithm is used as a picklock and the task loses any interest. I use it as a key. PS. Eugene Benek can only with this algorithm solved cubes of any size!!! Too without additional moves. He likes very hard puzzles - a big bandaged cubes and etc.
One of his topics at the Russian forum - http://twistypuzzles.ru/forum/index.php/topic,305.0.htmlThe correction from Eugene for big cubes:
On the big cubes he uses another version J-permute: λ = R2 U D' R2 U R2 U' R2 D R2 U' R2 U
In this algorithm need to replace U/D on u/d - λ = R2 u d' R2 u R2 u' R2 d R2 u' R2 u
(i.e. instead of external, we twist inside layers) - http://twistypuzzles.ru/forum/index.php/topic,305.msg3296.html#msg3296
This method should be considered as an additional task on the Rubik's cube. For example, as a knight's move on a chessboard. The cube can be used and thus without any physical modifications (bandaging, morphing, etc). Here we limit ourselves to conditions and such tasks sometimes too are interesting and difficult.