Friday, March 1, 2019

Is it possible to scramble a Rubik's cube such that no two squares of the same color are touching?


My friend always insists on scrambling my Rubik's cube "perfectly" before giving it to me to solve. According to his definition, a "perfect" scramble must have no three of the same color touching (which takes an annoyingly long time to achieve). For example, this scramble is not a perfect one (showing the front face only):



RRG
BRB
YWO

because three red squares are touching, while this one is perfect:


RRG
BBR
YWO

Is it possible to achieve a scramble where no two same-colored squares are touching, on all sides?




Answer



Yes.


Examples:




  • Superflip


    Superflip




  • "Checkerboard"



    Checkerboard




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