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 Post subject: Sudoku 6D
PostPosted: Sun Jan 06, 2019 11:15 am 
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Here is a 6-dimensional (and still printer-friendly) Sudoku. Each cell belongs to 6 houses. The dimensions/houses are:

  • rows
  • columns
  • boxes
  • positions in boxes (SudokuP, aka Disjoint Groups (ugh), aka Colour Sudoku)
  • "windows" (Windoku, aka SudokuW)
  • jigsaw regions (SudokuJ)

All should be readily apparent in the grid layout. The 4 standard Windoku boxes are marked with *'s. The SudokuP houses are not marked, but they are intuitively obvious, so should be easy to work with.

This one is singles-only, but should still keep you busy!

Attachment:
Sudoku6D-Sample-001.png
Sudoku6D-Sample-001.png [ 13.35 KiB | Viewed 55 times ]


Last edited by Mathimagics on Mon Jan 07, 2019 9:54 am, edited 1 time in total.

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 Post subject: Re: Sudoku 6D
PostPosted: Sun Jan 06, 2019 7:26 pm 
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Oooh, looks like fun! The "6D" description almost scared me off, but I'm glad I took a closer look!


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 Post subject: Re: Sudoku 6D
PostPosted: Mon Jan 07, 2019 10:06 am 
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.
Sorry if I am playing fast and loose with the language somewhat!

By dimension I just mean the number of houses each cell can belong to. So standard Sudoku and standard Jigsaw are 3D, Windoku and SudokuP are 4D, etc.

Incomplete house sets are fractional dimensions (not be confused with fractal dimension). So for X-mode (diagonals), we would add 0.2 (or should that be 0.222222222...?).

I might just do that in the next example, a Sudoku 6.2D, how about that?

I'm hoping you might like to see a harder puzzle at some stage, as we can make these multi-D puzzles quite tough!


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 Post subject: Re: Sudoku 6D
PostPosted: Mon Jan 07, 2019 4:53 pm 
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Mathimagics wrote:
Sorry if I am playing fast and loose with the language somewhat!


No worries! I figured it out after I looked at it.

Quote:
I might just do that in the next example, a Sudoku 6.2D, how about that?

Sounds interesting!

Quote:
I'm hoping you might like to see a harder puzzle at some stage, as we can make these multi-D puzzles quite tough!

My personal preference is that the more constraints (dimensions) a puzzle has, the less difficult it should be. The additional constraints add enough complexity to make up for a lack of difficulty, IMHO. Others might see it differently, though.

If you can add killers to your generator, you would have the attention of nearly everyone on this forum. ;)


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 Post subject: Re: Sudoku 6D
PostPosted: Tue Jan 08, 2019 2:49 am 
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enxio27 wrote:
My personal preference is that the more constraints (dimensions) a puzzle has, the less difficult it should be. The additional constraints add enough complexity to make up for a lack of difficulty, IMHO. Others might see it differently, though.

Good point, and I think that tarek made a similar remark … I may have even made one myself!

enxio27 wrote:
If you can add killers to your generator, you would have the attention of nearly everyone on this forum. ;)

You mean there are more than 3 of us? :shock:

Seriously, though, "Killer 6D" is an excellent idea! 8-)

Hmm... now where did I put that hacksaw?


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 Post subject: Re: Sudoku 6D
PostPosted: Tue Jan 15, 2019 5:59 am 
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Mathimagics wrote:
You mean there are more than 3 of us? :shock:
HATMAN is a fairly regular puzzle poster in this forum. azpaull, wellbeback and I are fairly regular participants. On the Killer Puzzles forum Ed is now the main puzzle poster with wellbeback and I the main posters of walkthroughs.

I'll try your puzzle once I've caught up with Assassins on the Killer Puzzles forum, plus I've still got a couple of HATMAN's puzzles on this forum to catch up with.


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 Post subject: Re: Sudoku 6D
PostPosted: Tue Jan 15, 2019 1:49 pm 
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Thanks, Andrew.

Cheers
MM


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