Today Puzzle #538
Puzzle No. 538 鈥� Monday 5 August
Can the 54 squares of a Rubik’s cube be recoloured red, white and blue so that all colours are used, and the number of red squares, white squares and blue squares on each face does not change under any sequence of moves of the cube?
Today’s #PuzzleForToday has been set by the School of Mathematics and Statistics at the University of Sheffield.
Click here for the answer
Yes, it is possible. One way to do this is by colouring the central square of each face red, each corner square white, and all other squares blue. The colouring of each face remains identical after the rotation of any face, and is therefore invariant under any composition of rotations.
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