## Mini Clueless Windoku-X

Interesting puzzles can be posted here
Princess Amy
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Location: USA

### Mini Clueless Windoku-X

I made a Mini Clueless Windoku X. The diagonals were a surprise for myself... I didn't discover them until I was making the clue set! But I was able to remove a lot of the clues once I figured it out.

Please, keep giving me suggestions on how to get the 9x9 Clueless Windoku put together. Just because there are 9 additional constraints! If it can be done with disjoint groups, I bet it can be done with the Windoku...

If you need the solution, it's in my gallery at my blog:

http://images.blogstream.com/i/userImag ... 8_5148.png

Enjoy!

Amy Grace
Ruud
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Joined: Fri Dec 30, 2005 10:21 pm
With so many constraints for only 4 digits, this mini-clueless-windoku-x only causes problems remembering all these different constraints.

I wonder if it's possible to create one with 5 or even 4 clues...

Ruud
“If the human brain were so simple that we could understand it, we would be so simple that we couldn't.” - Emerson M Pugh
Para
Yokozuna
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Location: The Netherlands
A 5 clue example

Code: Select all

``````1	.	.	.|.	.	.	.
.	.	.	.|.	.	.	.
.	.	.	.|.	.	.	.
.	.	.	.|.	2	.	.
---------------------------
.	.	1	.|.	.	.	.
.	.	.	.|.	.	.	.
.	.	.	.|.	.	.	1
.	.	.	.|.	.	.	3
``````
I don't know is a 4-clue is possible. Then you'd need one clue in each seperate puzzle because without clues a seperate puzzle is never unique.
I don't think there is enough interaction between the clues to make it possible.

greetings

Para
JLynn
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Anyone else having a hard time resisting the temptation to call a Windoku-X puzzle a Wind-X puzzle?
Ruud
Site Owner
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Joined: Fri Dec 30, 2005 10:21 pm
Here is a fullsize Clueless Wind-X.

Each of the 13 constituent puzzles is a Sudoku-X. Of these, 4 are placed in a familiar Windoku pattern and completely clueless.

This puzzle is very tough, but it helps when you discover the twin nonets and the 36 hidden groups. Oops, now I said it

happy puzzling!
Ruud

PS, here are the strings:

Code: Select all

``````000000410007300060010006900702000000400000000000000000000000000030000000000000000
070004000003007009005000700000003000000005000000000000000000000000000000000000000
902000000008000000000000010000000000000000000000000400000000050000000600000000034
007000000006000000030000000680001000000060091090002608000000000000000000000000000
000001000000002000000000000080109002509304807400507030000000000000600000000200000
000000000000000000000000000207400080680050000000200074000000060000000900000000500
830000000006000000050000000005000000000000000000000000040000000000000200000000306
000000000000000000000000000000000000000600000000400000001000400200900600000700020
000000000000000040000000000000000000000000001000000805006300080020009400093000000``````
“If the human brain were so simple that we could understand it, we would be so simple that we couldn't.” - Emerson M Pugh
JLynn
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Joined: Thu Jan 25, 2007 9:53 am
I'm putting together the clueless grid possibility matrices. If so desired I'll post them here.

Also: Ruud, Aside from the four "windows", do any of the windoku constraints apply to the whole puzzle?
Ruud
Site Owner
Posts: 601
Joined: Fri Dec 30, 2005 10:21 pm
Like in windoku, you can extrapolate additional constraints which apply to the whole puzzle.

Each row contains 3 groups (1-9). There are 18 rows which account for 2 groups (1-9), so the remaining cells must also form a group (1-9).

Same principle can be applied to the columns and the 2 main diagonals of the puzzle. So there are 38 hidden groups (not 36 as I claimed).

The total number of constraints is:

729 cells
81 + 36 + 18 = 135 rows
81 + 36 + 18 = 135 columns
81 boxes
18 + 8 + 2 = 28 diagonals

Ruud
Princess Amy
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Location: USA
What program would you post the strings of numbers into?

Thanks,

Amy
The "Clueless" Princess loves getting Flowers every Monday!
Princess Amy
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Location: USA
Has anyone solved the clueless windex puzzle?

Wow, I've made a quite few attempts and have hit places where I'm stuck or errors every time. I've only used pencil and paper so far.

How do other people print? I hit print screen, copied into Paint Shop Pro, cropped the background from my computer, printed. Would take advice on printing.

I guess I'll paste those strings into SudoCue one at a time (I answered my own question on that, finally). I'll call them Windex 1 through Windex 9, and then I'll make Windex A, B, C and D for the "pane" puzzles too.

I loved the way the full-length diagonals complete themselves, btw! A very complicated but interesting way they overlap and solve various sections!

Is the solution posted somewhere?

Thanks,

Princess Amy
The "Clueless" Princess loves getting Flowers every Monday!
JLynn
Hooked
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Joined: Thu Jan 25, 2007 9:53 am
I got pretty far at one point using 9 instances of SudoCue, but at one point I panicked, having forgotten about the X's in the window puzzles.

I do have this puzzle printed out, using a full sheet of paper for each puzzle.

This much I know: The central puzzle cracks rather quickly. I need to work up the time, space, and motivation before picking it back up again. It is an interesting piece of work, though.
JLynn
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Joined: Thu Jan 25, 2007 9:53 am