Superflip and checkerboards

AndrewRocks

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Some kid who was a non-cuber told me that he knew a guy that could scramble a cube so well that no same color would touch. I didn't believe him and as a new cuber, I doubted that it was possible.

After thinking about it and researching it I discovered the superflip. I was so excited to find that it was possible to make no same color touch. A few minutes later I remembered the checkerboard pattern has no same colors touching and realized I had wasted my time.


:fp
 
This isn't necessarily wasting your time. In fact it leads to another question:

How many legal positions on the 3x3x3 cube are there were no two adjacent stickers on the same face share the same color? Touching on the diagonal is ok.

;)
 
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