Grimbal

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Re: Rubik's Cube as a 2D puzzle (is this new?)

« Reply #5 on: Feb 4th, 2009, 2:43am » Quote Modify It is like a Rubik's Doughnut.



Well, the numbrosia game has some similarity. Rotations are not limited to 3, you can add or remove values to a row or column and the goal is to minimize the number of moves.



But I just realized that cells are restrained to 9 position. In the following picture you can see that letters don't mix. A's remain A's, B remains B's, etc. Each letter is called an orbit.



That means that the solution is unique (each orbit has only one of each digit. And with a little care, you can solve each orbit individually.



a b c a b c a b c

d e f d e f d e f

g h i g h i g h i



a b c a b c a b c

d e f d e f d e f

g h i g h i g h i



a b c a b c a b c

d e f d e f d e f

g h i g h i g h i



« Last Edit: Feb 4th, 2009, 2:45am by Grimbal » IP Logged