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If I were to take the stickers off of a standard Rubik's cube's corner cublet and put them back on differently, the cube should now be unsolvable. The question is, however, are there other positions, in which the cube is almost solved except for one corner cublet (a different cublet than which one I modified earlier)?

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Just create an impossible corner- one which has colours that are typically opposite. 

Otherwise, just switch around the three colours on an existing corner. From what I know, that should make it unsolvable.

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Just now, Aereldor said:

Just create an impossible corner- one which has colours that are typically opposite. 

Otherwise, just switch around the three colours on an existing corner. From what I know, that should make it unsolvable.

I can't have more squares on one qublet, that would be too obvious.

I know it should be unsolvable, I want to know, how many different qublets would end up out of place after almost-solving the cube.

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You could never have a corner that has both red and orange, green and blue and white and yellow on the the same corner. Those would be the most suttle changes you could do. However depending on where you start on the cube, it would be found out pretty quickly

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