Sudokus with an original rare shape

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

Re: little route

Postby m_b_metcalf » Thu May 24, 2007 3:31 pm

claudiarabia wrote:SE 9.0

Here's a friend:
Code: Select all
 4 . . . . . . . 9
 . 8 . . 1 . . 7 .
 . . . 3 . 6 . . .
 . . 1 . . . 5 . .
 . 6 . . 3 . . 4 .
 . . 5 . . . 2 . .
 . . . 5 . 2 . . .
 . 7 . . 6 . . 8 .
 9 . . . . . . . 4      SE 9.0

Regards,

Mike Metcalf
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Postby JPF » Thu May 24, 2007 5:47 pm

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

SE=8.9

JPF
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a snake and some bogus-symmetrical stuff

Postby claudiarabia » Sun May 27, 2007 2:26 pm

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

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

Interesting here are the mutable clues r1c56, r7c9 and r8c3 where you can downgrade this three-spoke-wheel
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Postby JPF » Sun May 27, 2007 3:12 pm

Simplissime

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


JPF
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Postby JPF » Mon May 28, 2007 9:01 am

claudiarabia wrote:
Code: Select all
. . . 3 1 . . . .
. . 4 . . 2 . . .
. 5 . . . . 6 . .
2 . . 7 . . . 1 .
. . 6 . 8 . 3 . .
. 8 . . . 9 . . 4
. . 1 . . . . 3 .
. . . 4 . . 7 . .
. . . . 6 5 . . .
SE 6,7
Nice pattern, Claudia.

Here's the XS size:

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

ER = 8.3

JPF
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A prize-worth sudoku

Postby claudiarabia » Tue May 29, 2007 5:09 pm

JPF wrote:Simplissime

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


JPF


If pappocom would endow a sudoku-design-prize here, this sudoku surely would win a medal because of it's simple elegance and even structure. It is far more easy to design 19-clue-sudokus with a diagonal symmetry but one with horizontal one. As far as I know, 19 is the minimal clue-number from which on you can do some horizontal symmetry. Correct me if this statement is overhauled now. It reminds me of the brain-like seeds of the walnut. Chapeau!

Regards

Claudia
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Postby JPF » Wed May 30, 2007 7:25 pm

claudiarabia, you wrote:If pappocom would endow a sudoku-design-prize here, this sudoku surely would win a medal because of it's simple elegance and even structure...
...Chapeau!
Merci, je suis très flatté...:)

you wrote:It is far more easy to design 19-clue-sudokus with a diagonal symmetry ....
Right, there are some examples in this thread.

you wrote:As far as I know, 19 is the minimal clue-number from which on you can do some horizontal symmetry. Correct me if this statement is overhauled now.
I don't know.
Actually, I was trying to make a 19 clues puzzle with horizontal (vertical) symmetry and with boxes without "diagonal clues".
A pattern like this one :

Code: Select all
 . . x . x . x . .
 . . x . x . x . .
 . . . . x . . . .
 . . . . . . . . .
 x . . . . . . . x
 x . . x . x . . x
 . . . x . x . . .
 . x . . . . . x .
 . x . . . . . x .


unsuccessfully:(

JPF
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Postby m_b_metcalf » Fri Jun 01, 2007 6:01 pm

JPF wrote:Actually, I was trying to make a 19 clues puzzle with horizontal (vertical) symmetry and with boxes without "diagonal clues".
A pattern like this one :
Code: Select all
 . . x . x . x . .
 . . x . x . x . .
 . . . . x . . . .
 . . . . . . . . .
 x . . . . . . . x
 x . . x . x . . x
 . . . x . x . . .
 . x . . . . . x .
 . x . . . . . x .


unsuccessfully:(

JPF, truly brilliant. My own puny attempt at your pattern also met with failure: the closest I got was this 20-clue puzzle.
Code: Select all
 . . 1 . . . 2 . .
 . . 3 . 4 . 5 . .
 . . . . 6 . . . .
 . . . . . . . . .
 2 . . . . . . . 4
 3 . . 7 . 1 . . 9
 . . . 8 2 6 . . .
 . 4 . . . . . 5 .
 . 6 . . 9 . . 1 .

I'm calling it a day, now.

Regards,

Mike Metcalf
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Postby JPF » Fri Jun 01, 2007 9:48 pm

m_b_metcalf wrote:truly brilliant. My own puny attempt at your pattern also met with failure: the closest I got was this 20-clue puzzle.
Code: Select all
 . . 1 . . . 2 . .
 . . 3 . 4 . 5 . .
 . . . . 6 . . . .
 . . . . . . . . .
 2 . . . . . . . 4
 3 . . 7 . 1 . . 9
 . . . 8 2 6 . . .
 . 4 . . . . . 5 .
 . 6 . . 9 . . 1 .

Thanks.

Here's a 20-clues puzzle with non diagonal boxes :
Code: Select all
 . . 1 | . . . | 2 . .
 . . 2 | . 3 . | 4 . .
 . . . | . 5 . | . . .
-------+-------+-------
 . . . | . . . | . . .
 3 . . | . . . | . . 1
 6 . . | 4 7 2 | . . 8
-------+-------+-------
 . . . | 5 9 1 | . . .
 . 2 . | . . . | . 9 .
 . 4 . | . . . | . 3 .


JPF
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Postby JPF » Sat Jun 02, 2007 8:02 am

I finally got it:)

Here is a 19 clues-puzzle with vertical symmetry and non diagonal boxes :

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

SE=6.6

JPF
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a double diagonal symmetric 19clue-pattern

Postby claudiarabia » Sat Jun 02, 2007 1:40 pm

JPF"][quote="claudiarabia, you wrote:. Actually, I was trying to make a 19 clues puzzle with horizontal (vertical) symmetry and with boxes without "diagonal clues".
A pattern like this one :

Code: Select all
 . . x . x . x . .
 . . x . x . x . .
 . . . . x . . . .
 . . . . . . . . .
 x . . . . . . . x
 x . . x . x . . x
 . . . x . x . . .
 . x . . . . . x .
 . x . . . . . x .


unsuccessfully:(

JPF


And I try to make the following pattern:
Code: Select all
. . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . .
I'm down to 59 solutions now. But it's cursed.:(
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Re: a double diagonal symmetric 19clue-pattern

Postby Mauricio » Sat Jun 02, 2007 4:53 pm

claudiarabia wrote:And I try to make the following pattern:
Code: Select all
. . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . .
I'm down to 59 solutions now. But it's cursed.:(


I don't think that pattern has a sudoku; according to my experiments, it is highly unlikely. I have generated ~15000 non equivalent sudokus with the following pattern:

Code: Select all
x . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . .

none of them has r1c1 as a redundant clue, several of them have r5c5 as a redundant clue, though.
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Re: a double diagonal symmetric 19clue-pattern

Postby m_b_metcalf » Sat Jun 02, 2007 7:22 pm

Mauricio wrote:
claudiarabia wrote:And I try to make the following pattern:
Code: Select all
. . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . .
I'm down to 59 solutions now. But it's cursed.:(


I don't think that pattern has a sudoku; ...

Maybe Claudia could publish her 59-solution version so that we can undertake a search in near sudoku space (unless she's done that already).

Regards,

Mike Metcalf
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Re: a double diagonal symmetric 19clue-pattern

Postby Mauricio » Sat Jun 02, 2007 11:31 pm

m_b_metcalf wrote:Maybe Claudia could publish her 59-solution version so that we can undertake a search in near sudoku space (unless she's done that already).


I know I am not Claudia. I just did a quick search in my list, these sudokus have only 2 solutions (unless my program let me down):

Code: Select all
000090002000500080006000700020007000900040001000600040007000600080009000200010000
000090002000500080006000700020007000900040001000600040007000600040009000200010000
000090002000100080006000700050007000900020001000600020007000600080005000200010000
000030002000500080006000700010007000300080001000600040004000600080002000200010000
000090002000500080006000700020007000900040001000600040008000600040009000200010000
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Re: a double diagonal symmetric 19clue-pattern

Postby claudiarabia » Sun Jun 03, 2007 4:02 pm

m_b_metcalf wrote:
Mauricio wrote:
claudiarabia wrote:And I try to make the following pattern:
Code: Select all
. . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . x
. . . x . . . x .
. . x . . . x . .
. x . . . x . . .
x . . . x . . . .
I'm down to 59 solutions now. But it's cursed.:(


I don't think that pattern has a sudoku; ...

Maybe Claudia could publish her 59-solution version so that we can undertake a search in near sudoku space (unless she's done that already).

Regards,

Mike Metcalf


here it is:

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

58 solutions:-(

claudia
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