Anyone knows if it is possible to obtain a diferent country flag in all six faces of the Rubik Cube?
Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. It only takes a minute to sign up.Sign up to join this community
To start off, we can reduce the number of flags to look at with some simple deductions.
The only national flags able to be made on a rubik's cube, would be ones of either 3 horizontal or vertical stripes, with no "extra" pieces (No stars, no crowns, whatever), and can only use the Rubik's cube colours, those being Blue, Yellow, Green, Red, Orange, and White OR Black (Depending on the style of Rubik's cube).
EDIT: Cross flags could be used as well, with 2 usable ones on a Rubik's Cube, England and Dominican Republic (Other cross flags are "scandinavian crosses" which are off-center and so could not be represented on a Rubik's cube.)
With this, we can limit down the number of possible flags to
23 (Using White) or 11 (Using Black) (May have missed some, but I think this is correct.)
We can limit it some more however, since the center square of each Rubik's cube's face cannot be changed, we know exactly 1 flag must have a white center stripe, exactly 1 flag must have a blue center stripe, etc.
Looking through the flags, we find that
No national flag has an orange center stripe. This makes it impossible to have a flag on the face with the orange center square.
So the answer to the question is
No. It is impossible to re-arrange a Rubik's Cube to have 6 national flags shown on the 6 faces.