Sudokus with an original rare shape

Everything about Sudoku that doesn't fit in one of the other sections

Postby JPF » Mon Nov 20, 2006 5:43 pm

m_b_metcalf wrote:There seems to be a real problem with this pattern...
Code: Select all
 x x x | x x x | x x x
 x x x | . . . | x x x
 x x x | . . . | x x x
-------+-------+-------
 x . . | . . . | . . x
 x . . | . x . | . . x
 x . . | . . . | . . x
-------+-------+-------
 x x x | . . . | x x x
 x x x | . . . | x x x
 x x x | x x x | x x x

This pattern has been discussed here and here .

Code: Select all
 . . . 2 8 5 . . .
 . . 4 . . . 2 . .
 . 6 . . . . . 3 .
 5 . . . . . . . 4
 3 . . . 7 . . . 8
 2 . . 1 . . . . 9
 . 1 . . . . . 7 .
 . . 9 . . . 5 . .
 . . . 3 1 2 . . .

or
Code: Select all
 . . 3 8 9 2 4 . .
 . 4 . . . . . 6 .
 8 . . . . . . . 3
 3 . . . . . . . 5
 9 . . . 4 . . . 7
 2 . . 6 . . . . 4
 7 . . . . . . . 8
 . 9 . . . . . 1 .
 . . 8 2 1 3 5 . .

in both cases if we remove r6c4, the puzzles have 2 solutions.

JPF
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Postby m_b_metcalf » Mon Nov 20, 2006 8:13 pm

JPF wrote:This pattern has been discussed here and here .


Dear JPF,
Many thanks for the clarification. As a token of my gratitude, I offer you an intermediate state of mitosis:
Code: Select all
  .  .  6  2  7  .  .  .  .
  .  9  .  .  .  1  .  .  .
  3  .  .  .  .  6  .  .  .
  7  .  .  .  .  2  8  6  .
  2  .  .  .  .  .  .  .  7
  .  5  1  3  .  .  .  .  9
  .  .  .  7  .  .  .  .  8
  .  .  .  4  .  .  .  2  .
  .  .  .  .  5  9  6  .  .

 Time: 2.87s Try: 59266  SE 8.4



Regards,

Mike Metcalf
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Postby JPF » Tue Nov 21, 2006 1:47 am

Thanks a lot Mike !

If we start by the beginning we have the following Mitosis process :
Code: Select all

 . . 7 2 8 . . . .
 . 5 . . . 7 . . .
 1 . . . . . 5 . .
 9 . . . . . . 2 .
 3 . . . . . . . 6
 . 2 . . . . . . 7
 . . 5 . . . . . 2
 . . . 4 . . . 9 .
 . . . . 1 9 4 . .


 . . 3 4 2 . . . .
 . 2 . . . 5 . . .
 1 . . . . 6 . . .
 8 . . . . . 1 3 .
 5 . . . . . . . 2
 . 9 6 . . . . . 7
 . . . 3 . . . . 6
 . . . 9 . . . 4 .
 . . . . 1 8 5 . .


 . . 6 2 7 . . . .
 . 9 . . . 1 . . .
 3 . . . . 6 . . .
 7 . . . . 2 8 6 .
 2 . . . . . . . 7
 . 5 1 3 . . . . 9
 . . . 7 . . . . 8
 . . . 4 . . . 2 .
 . . . . 5 9 6 . .


 . . 3 4 5 . . . .
 . 2 . . . 6 . . .
 1 . . . . 7 . . .
 2 . . . 7 . 1 8 .
 6 . . 3 . 2 . . 5
 . 8 7 . 6 . . . 3
 . . . 6 . . . . 7
 . . . 1 . . . 5 .
 . . . . 4 3 9 . .


Maybe 1 or 2 steps are still missing:)

JPF
Last edited by JPF on Wed Nov 22, 2006 7:05 pm, edited 1 time in total.
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Postby m_b_metcalf » Tue Nov 21, 2006 3:18 pm

JPF wrote:Thanks a lot Mike !

If we start by the beginning we have the following process :
.....

Maybe 1 or 2 steps are still missing:)

JPF


Well, of course, the cell nuclei are missing!

Code: Select all
  .  .  9  1  8  .  .  .  .
  .  5  .  .  .  6  .  .  .
  1  .  .  .  .  .  7  .  .
  8  .  .  5  .  .  .  2  .
  3  .  .  .  .  .  .  .  5
  .  6  .  .  .  4  .  .  8
  .  .  5  .  .  .  .  .  3
  .  .  .  2  .  .  .  1  .
  .  .  .  .  9  7  6  .  .

 Time:   10.14 Try: 15327   SE 8.4


Regards,

Mike
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Postby Carcul » Tue Nov 21, 2006 8:32 pm

JPF wrote:If we start by the beginning we have the following process:


Nice puzzles. For example, the last one:

Code: Select all
 *-----------------------------------------------------------*
 | 78     67     3     | 4      5      9 | 2678   1267   128 |
 | 4579   2      459   | 8      1      6 | 3457   347    49  |
 | 1      4569   45689 | 2      3      7 | 4568   46     489 |
 |---------------------+-----------------+-------------------|
 | 2      3      59    | 59     7      4 | 1      8      6   |
 | 6      149    149   | 3      8      2 | 47     479    5   |
 | 459    8      7     | 59     6      1 | 24     249    3   |
 |---------------------+-----------------+-------------------|
 | 3489   149    12489 | 6      29     5 | 2348   1234   7   |
 | 3479   4679   2469  | 1      29     8 | 2346   5      24  |
 | 58     156    12568 | 7      4      3 | 9      126    128 |
 *-----------------------------------------------------------*

[r1c1]=8=[r3c3]-8-[r2c9|r3c89](-6-[r9c8])-4-[r8c9]-2-[r9c89]-1,8-[r9c12]
-6-[r1c2]-7-[r1c1], => r1c1<>7 solving the puzzle.

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Postby JPF » Wed Nov 22, 2006 11:15 pm

tarek wrote:I suppose the challenge would be a puzzle that comes from a GRID that displays diagonal symmetry.........
which is unfortunately not possible:(

Carcul wrote:Nice puzzles.
Thanks for the analysis.

JPF
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Postby JPF » Wed Nov 22, 2006 11:41 pm

Here's a puzzle I like : 21 clues, minimal.

Code: Select all
 . . . | . 2 6 | 8 1 .
 . . . | . . . | . 6 .
 . 2 4 | 7 . . | . . .
-------+-------+-------
 . 7 . | . . . | . 9 .
 . 1 . | . . . | . 8 .
 . . . | . 8 4 | 5 3 .
-------+-------+-------
 . 8 . | . . . | . . .
 . 5 1 | 3 6 . | . . .
 . . . | . . . | . . .


Its SE rating is 1,5 !
Here's a challenge : find a puzzle with the same pattern with the highest SE rating.

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Postby tarek » Thu Nov 23, 2006 12:10 am

JPF wrote:
tarek wrote:I suppose the challenge would be a puzzle that comes from a GRID that displays diagonal symmetry.........
which is unfortunately not possible:(
sadly:(

Nice puzzle JPF (Almost an untouchable) .... if it is SE 1.5 then it is an N valid puzzle (according to gsf), a puzzle solvable using hidden singles only........ The puzzle reminds me of Cartier jewellery for some reason:D

If you like it that much then why not let us search for it in each category........ singles ..... superior ......superior plus & hardest????

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Postby JPF » Thu Nov 23, 2006 12:54 am

tarek wrote:The puzzle reminds me of Cartier jewellery for some reason:D
If you like it that much then why not let us search for it in each category........ singles ..... superior ......superior plus & hardest????

Ok, I'm sure Claudia will appreciate:)

JPF
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Cartier

Postby claudiarabia » Thu Nov 23, 2006 11:21 am

JPF wrote:
tarek wrote:The puzzle reminds me of Cartier jewellery for some reason:D
If you like it that much then why not let us search for it in each category........ singles ..... superior ......superior plus & hardest????

Ok, I'm sure Claudia will appreciate:)
JPF


Yes, it is very elegant and stylish indeead. One could make a piece of jewllery out of it. In ancient times people wore numeric amulets. Why not make a modern one, where many numbers are still to set?

I'll try if I can make something like that, but won't determine a level yet.

With best wishes Claudia
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Re: Cartier

Postby Ocean » Thu Nov 23, 2006 7:34 pm

claudiarabia wrote:Yes, it is very elegant and stylish indeead. One could make a piece of jewllery out of it.

Here is a piece with moderate difficulty - just the level I prefer when solving by hand.
Can be solved with Swordfish followed by xy-wing.
Code: Select all
# "Sword with Wing" Jewelry
 *-----------*
 |...|.12|34.|
 |...|...|.5.|
 |.26|7..|...|
 |---+---+---|
 |.4.|...|.2.|
 |.7.|...|.8.|
 |...|.26|91.|
 |---+---+---|
 |.9.|...|...|
 |.82|95.|...|
 |...|...|...|
 *-----------*
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re: Cartier

Postby Pat » Fri Nov 24, 2006 9:48 am

claudiarabia wrote:it is very elegant and stylish indeead. One could make a piece of jewllery out of it.


with the dots it looks like this -

Code: Select all
....****.
.......*.
.***.....
.*.....*.
.*.....*.
....****.
.*.......
.****....
.........



- but remove the dots and see the jewelry -

Code: Select all
    oooo
       o
 ooo     
 o     o
 o     o
    oooo
 o       
 oooo   
         



~ Pat
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Postby JPF » Sun Nov 26, 2006 11:33 pm

I had a call from the jeweller.
He told me that some customers complained about the weight and the safety regarding their jewellery.

To make it short, he asked to produce minimal and untouchable pieces.
One or two removed clues would be welcome, but only if the same élégance is kept.

tarek wrote:Nice puzzle JPF (Almost an untouchable) .... The puzzle reminds me of Cartier jewellery for some reason

Here's one untouchable
21 clues, minimal :
Code: Select all
 . . . | . 1 2 | 3 4 .
 . . . | . . . | . 5 .
 . 6 1 | 7 . . | . . .
-------+-------+-------
 . 4 . | . . . | . 6 .
 . 7 . | . . . | . 2 .
 . . . | . 6 1 | 5 8 .
-------+-------+-------
 . 3 . | . . . | . . .
 . 9 6 | 2 4 . | . . .
 . . . | . . . | . . .



Here's one new design :
20 clues, minimal, untouchable
Code: Select all
 . . . | . . 1 | 2 3 .
 . . . | . . . | . 4 .
 . 1 5 | 6 . . | . . .
-------+-------+-------
 . 7 . | . . . | . 2 .
 . 6 . | . . . | . 8 .
 . . . | . 4 5 | 3 9 .
-------+-------+-------
 . 3 . | . . . | . . .
 . 2 7 | 9 3 . | . . .
 . . . | . . . | . . .


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jewel

Postby claudiarabia » Mon Nov 27, 2006 12:27 pm

JPF wrote:I
Here's one new design :
20 clues, minimal, untouchable
Code: Select all
 . . . | . . 1 | 2 3 .
 . . . | . . . | . 4 .
 . 1 5 | 6 . . | . . .
-------+-------+-------
 . 7 . | . . . | . 2 .
 . 6 . | . . . | . 8 .
 . . . | . 4 5 | 3 9 .
-------+-------+-------
 . 3 . | . . . | . . .
 . 2 7 | 9 3 . | . . .
 . . . | . . . | . . .


JPF


Whow! A meddling of rotational symmetry and Repetitional band symmetry! Would fit good into Gordon Royles Symmetry-Zoo.

I also actually thought about letting make one of my sudokus as a piece of jewellery.

Claudia
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Re: jewel

Postby gsf » Mon Nov 27, 2006 3:05 pm

claudiarabia wrote:
JPF wrote:
Code: Select all
 . . . | . . 1 | 2 3 .
 . . . | . . . | . 4 .
 . 1 5 | 6 . . | . . .
-------+-------+-------
 . 7 . | . . . | . 2 .
 . 6 . | . . . | . 8 .
 . . . | . 4 5 | 3 9 .
-------+-------+-------
 . 3 . | . . . | . . .
 . 2 7 | 9 3 . | . . .
 . . . | . . . | . . .


Whow! A meddling of rotational symmetry and Repetitional band symmetry! Would fit good into Gordon Royles Symmetry-Zoo.

where is the symmetry here?
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