layered sudoku

Advanced methods and approaches for solving Sudoku puzzles

layered sudoku

Postby mgladu » Mon Aug 14, 2017 11:50 pm

I am looking for a way to place 2 Sudoku puzzles on top of each other and never duplicating numbers. how might I figure this out?
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Re: layered sudoku

Postby Leren » Tue Aug 15, 2017 3:05 am

Well one obvious way is to take the first puzzle and create the second puzzle by applying any isomorphism on the digits of the first puzzle, such that no digit is transformed into itself. eg

1 2 3 4 5 6 7 8 9 could be replaced by
9 1 2 3 4 5 6 7 8

Is this what you are looking for ? Leren

<edit>

I just thought of another way of achieving what I think you want. Instead of a number morph you can swap the rows and columns around.

For example, In the top tier of boxes you can rearrange Rows 1, 2 & 3 in the order 2 1 3, 2 3 1 or 3 1 2. Do a similar thing for Rows 4-6 and 6-9 and you're golden.

You can also do a similar thing with the columns and a similar thing with the tiers and stacks of boxes.

Leren
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Re: layered sudoku

Postby SudoKai » Tue Aug 15, 2017 10:36 am

Here is a SudoKai file that I believe does what you desire.
Attachments
Sudoku_Layers.zip
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Re: layered sudoku

Postby eleven » Tue Aug 15, 2017 9:19 pm

mgladu wrote:I am looking for a way to place 2 Sudoku puzzles on top of each other and never duplicating numbers. how might I figure this out?

What do you mean with "never duplicating numbers" ? In the columns ??

@SudoKai: Can't read your file in linux, can you post it in another format ?
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Re: layered sudoku

Postby SudoKai » Wed Aug 16, 2017 7:42 am

eleven wrote:Can't read your file in linux, can you post it in another format ?


Maybe one day I will release a Linux distribution, but for now SudoKai v4.x is only available for the Windows operating system. http://www.sudokai.com
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