6x6x6 challenge

Hodari

Regular
Joined
Dec 12, 2010
Messages
84
I'm not sure if anything like this has ever been done before, but just had an idea for a puzzle on a 6x6x6 cube.

Can the cube be solved in such a way that on every face, each row and column contains exactly 1 sticker of each color? If so, what is the best algorithm to solve it into this position? If not, prove why it can't be done.
 
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