How many good position are there?

Asked Jul 03 '17 at 07:11

Active Jul 03 '17 at 07:11

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Two squares on a Rubik's Cube are adjacent if they share a side.

A "good" position of a cube is such that no two adjacent squares have the same color.

As I try, it's pretty tough to find a good position (Of course except L2 R2 U2 D2 F2 B2)

And my questions are:

How many good position of a Rubik's Cube are there?
There aren't any good position of a nxnxn cube. Does n exist? And if yes, what is the smallest value of n?

asked Jul 03 '17 at 07:11

Lê Đức Minh

There are some more examples at https://puzzling.stackexchange.com/questions/429/is-it-possible-to-scramble-a-rubiks-cube-such-that-no-two-squares-of-the-same-c also at https://blogs.msdn.microsoft.com/matthew_van_eerde/2008/05/16/unsolving-the-rubiks-cube/ – Gerry Myerson Jul 03 '17 at 07:28
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Does this answer your question? Rubik's cube with different neighboring color – Baguette Boy Nov 03 '22 at 06:10

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