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Topic: Rubik's Cube as a 2D puzzle (is this new?) (Read 5559 times) |
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amichail
Senior Riddler
Posts: 450
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Rubik's Cube as a 2D puzzle (is this new?)
« on: Feb 3rd, 2009, 12:56pm » |
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It seems similar to a Rubik's Cube, but doesn't require 3D thinking (and so might be more suitable for a 2d computer display):
1 1 1 2 2 2 3 3 3
1 1 1 2 2 2 3 3 3
1 1 1 2 2 2 3 3 3
4 4 4 5 5 5 6 6 6
4 4 4 5 5 5 6 6 6
4 4 4 5 5 5 6 6 6
7 7 7 8 8 8 9 9 9
7 7 7 8 8 8 9 9 9
7 7 7 8 8 8 9 9 9
You can rotate an entire row or column of 9 numbers, but rotations must be done 3 steps at a time.
For example, rotating the second row to the right yields:
1 1 1 2 2 2 3 3 3
3 3 3 1 1 1 2 2 2
1 1 1 2 2 2 3 3 3
4 4 4 5 5 5 6 6 6
4 4 4 5 5 5 6 6 6
4 4 4 5 5 5 6 6 6
7 7 7 8 8 8 9 9 9
7 7 7 8 8 8 9 9 9
7 7 7 8 8 8 9 9 9
Is this an original puzzle? If not, where I can find info on it?
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ThudnBlunder
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #1 on: Feb 3rd, 2009, 1:13pm » |
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on Feb 3rd, 2009, 12:56pm, amichail wrote:
Is this an original puzzle? If not, where I can find info on it? |
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No, it's called Sudoku. 
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ThudnBlunder
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #3 on: Feb 3rd, 2009, 1:16pm » |
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on Feb 3rd, 2009, 1:15pm, amichail wrote:
While it has nothing to do with Sudoku, I can see that the layout could give people that impression. |
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As you haven't stated the objective, Sudoku is as good a name as any.
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| « Last Edit: Feb 3rd, 2009, 1:17pm by ThudnBlunder » |
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amichail
Senior Riddler
Posts: 450
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #4 on: Feb 3rd, 2009, 1:18pm » |
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on Feb 3rd, 2009, 1:16pm, ThudanBlunder wrote:
As you haven't stated the objective, Sudoku is as good a name as any.
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The objective is the same as Rubik's cube: each grid must have only one number/color.
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| « Last Edit: Feb 3rd, 2009, 1:25pm by amichail » |
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Grimbal
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #5 on: Feb 4th, 2009, 2:43am » |
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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
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| « Last Edit: Feb 4th, 2009, 2:45am by Grimbal » |
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amichail
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #6 on: Feb 4th, 2009, 12:01pm » |
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on Feb 4th, 2009, 2:43am, Grimbal wrote:
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.
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I'm the one who created Numbrosia, but it has a problem: it's too easy to solve if you don't care about the number of moves.
It seems that people generally just want a hard puzzle to solve, so I want to come up with something difficult.
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Grimbal
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #7 on: Feb 4th, 2009, 3:04pm » |
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Uh, yes, I realized afterward that it was you. No wonder it looks familiar.
As for the difficulty, I'd rate this one as easy.
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Hippo
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Re: Rubik's Cube as a 2D puzzle (is this new?)
« Reply #8 on: Apr 5th, 2009, 8:42am » |
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on Feb 4th, 2009, 3:04pm, Grimbal wrote:Uh, yes, I realized afterward that it was you. No wonder it looks familiar.
As for the difficulty, I'd rate this one as easy. |
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Yes, it's easy ... if the permutation on each orbit is even, you can easily move numbers in given orbit to their positions in 1,2,3,4,5,7,6 order each in at most 4 moves (rotation involving only 3 pieces). This gives 4*7*9 moves upper bound for entire puzzle. It can be made faster by not doing orbits independently ...
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