Planetarion Forums - n Dimensional Sudoku

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Radical Edward

31 Mar 2006 09:51

n Dimensional Sudoku

Is it possible to extend Sudoku into any number of dimensions? For example so far we have 2d and 3D sudoku, but would be be possible to form a tesseract sudoku or an n-cube sudoku?

Cannon_Fodder

31 Mar 2006 12:00

Re: n Dimensional Sudoku

Whats with the numbers on your user title?

Phil^

31 Mar 2006 12:02

Re: n Dimensional Sudoku

Quote:

Originally Posted by sniborp

Whats with the numbers on your user title?

the 'evil numbers' from lost, clearly

MrL_JaKiri

31 Mar 2006 12:06

Re: n Dimensional Sudoku

Quote:

Originally Posted by Radical Edward

Is it possible to extend Sudoku into any number of dimensions? For example so far we have 2d and 3D sudoku, but would be be possible to form a tesseract sudoku or an n-cube sudoku?

Don't see why not.

Nodrog

31 Mar 2006 12:08

Re: n Dimensional Sudoku

Theres probably several possible extensions (I can think of one which involves placing 27 3x3 cubes, but I'm not sure if you could reasonably call this 'sudoko') - it depends how exactly you want to do.

hyfe	31 Mar 2006 14:30

Re: n Dimensional Sudoku

Quote:

Originally Posted by Radical Edward

Is it possible to extend Sudoku into any number of dimensions?

Yes, there exists Soduko solutions for however many dimensions you want.

If you have a valid solution of N dimensions, you will get a valid solution of N+1 dimensions by using all possible variants created by shifting the originial values.

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