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1

It is impossible. If you ignore all pieces but the corners, it is equivalent to a 2x2x2 cube. And it is impossible to turn one corner of a 2x2x2. This is valid for any size, i.e. every NxNxN cube. Credit goes to william122 who gave this answer first.


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EDIT: My answer was based on a misinterpretation of the question, and will be fixed when I can find time. My apologies. Yes. Such a position is achievable with the following set of six moves:


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Yes but I was able to shuffle it further without the checker board pattern so it even looked random! This took me about four days because I am bad at puzzles and I haven't touched it since!


0

I found a similar pattern but the color combination is different from the image in question. Algorithm


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It is impossible to build a cube in a cube pattern like this. On a 3x3 Rubik's Cube, it is not possible to switch two opposite or two adjacent corners. There is another way to build a cue in a cube pattern on a 3x3. Just follow this algorithm: U' L' U' F' R2 B' R F U B2 U B' L U' F U R F' Check out this page for some explanation on the notation.


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