Fully symmetrical puzzles

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

Postby ab » Wed Apr 26, 2006 6:56 pm

another one down:)
Code: Select all
...|.3.|...
.9.|...|.5.
..1|7.2|3..
-----------
..3|...|2..
6..|...|..9
..4|...|7..
-----------
..7|8.4|1..
.2.|...|.3.
...|.5.|...

18-8-1-0-0   
18-1-4-0-0   
16-10-1-0-0   
16-1-6-0-0   
1-10-4-0-0   
1-8-6-0-0
ab
 
Posts: 451
Joined: 06 September 2005

Postby Ocean » Thu Apr 27, 2006 5:36 am

Here is a minimal 21. We already have the analog pattern for 20 clues though, in one of ab's puzzles.

Code: Select all
[M21. 0-4-2-1-1]
 *-----------*
 |...|...|...|
 |..1|...|6..|
 |.8.|3.9|.5.|
 |---+---+---|
 |..6|.7.|8..|
 |...|285|...|
 |..4|.1.|7..|
 |---+---+---|
 |.4.|5.2|.3.|
 |..8|...|4..|
 |...|...|...|
 *-----------*
0-6-0-1-1   0-4-2-1-1   8-2-0-1-1   10-0-0-1-1   4-0-2-1-1   6-0-0-1-1
Ocean
 
Posts: 442
Joined: 29 August 2005

Postby ab » Thu Apr 27, 2006 5:11 pm

here's a minimal 21 for which we don't have the 20:
Code: Select all
-------------------
|     |     |     |   
|     |7 1 9|     |   
|    6|  5  |8    |   
-------------------
|  1  |     |  2  |   
|  3 8|  6  |9 1  |   
|  2  |     |  7  |   
-------------------
|    5|  9  |6    |   
|     |2 4 1|     |   
|     |     |     |   
-------------------

17-3-0-0-1  17-0-3-0-1   0-9-3-0-1   0-3-5-0-1   3-9-0-0-1   3-0-5-0-1
ab
 
Posts: 451
Joined: 06 September 2005

Postby ab » Sat Apr 29, 2006 3:42 pm

I think Nikoli, who make puzzles for the Guardian, must keep half an eye on this forum. The Guardian's latest puzzle is a full symmetry minimal 24:
http://image.guardian.co.uk/sys-files/Guardian/documents/2006/04/19/GdnSudoku305_060429.indd.pdf
ab
 
Posts: 451
Joined: 06 September 2005

Supplementaray list: 19 minimal 24s.

Postby Ocean » Sun Apr 30, 2006 3:58 am

Supplementary list of minimal 24s with full symmetry: Nineteen puzzles with different non-isomorphic patterns. All patterns differ from the 32 non-isomorphic patterns in minimal 24s found previously in this thread (gsf's list and a few others) - provided no doublecount or oversight. Which gives us a total of 51 patterns so far, but have not checked systematically elsewhere in the forum.
#
000000000000457000002906400096000120030000080054000790007201900000635000000000000 #0-3-6-0-0
000000000001903200050108040079000360000000000036000780040701050002304600000000000 #0-6-2-0-0
000000000004205700072080310020000040003000800010000070045070190008306500000000000 #0-6-5-0-0
000000000003189700050000060070401050020000040060907030030000010009652800000000000 #0-7-0-2-0
000000000010060070000274000004080300053701260002050900000496000060010050000000000 #0-9-3-1-0
000000000070010090006805300008040500040903020003070100001602700020050010000000000 #0-9-6-1-0
000000000080040050007601800003109600060000080001502700008203500050090060000000000 #0-9-6-2-0
000000000024000590065020140000703000001000300000108000082050910079000260000000000 #0-12-5-2-0
000080000000205000009306700074000850900000002051000470007804300000609000000020000 #1-2-6-0-0
000050000004000100050891020001000800406000507009000600080934010007000300000070000 #1-4-3-0-0
000070000004502900061000780090000060500000008030000020073000650005908400000030000 #1-6-4-0-0
000080000050020040003605900001000300340000076006000400002709500070010080000060000 #1-9-6-0-0
000104000006000200094060570300000009007000100400000003078050940001000800000706000 #2-4-5-0-0
000547000060000050002090700900000003708000902100000004001030200070000080000184000 #3-8-5-0-0
003000200060000070709050406000103000002000800000506000408060509010000020005000100 #4-8-5-2-0
800040003009102600040000010010000090300000001050000060090000030002608100400020008 #17-6-0-0-0
200709003090000010000060000500020009007306400800010006000030000050000070600204008 #18-8-1-1-0
910000054400030008000104000004000500020000090008000300000907000100060005570000023 #24-1-2-0-0
320000096910000038000010000000302000004000300000509000000060000680000024490000015 #24-8-1-2-0
#


Code: Select all
# A sample visual catalog (for those who pick by esthetics):
#

 #0-3-6-0-0      #0-6-2-0-0      #0-6-5-0-0      #0-7-0-2-0      #0-9-3-1-0
 *-----------*   *-----------*   *-----------*   *-----------*   *-----------*
 |...|...|...|   |...|...|...|   |...|...|...|   |...|...|...|   |...|...|...|
 |...|457|...|   |..1|9.3|2..|   |..4|2.5|7..|   |..3|189|7..|   |.1.|.6.|.7.|
 |..2|9.6|4..|   |.5.|1.8|.4.|   |.72|.8.|31.|   |.5.|...|.6.|   |...|274|...|
 |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|
 |.96|...|12.|   |.79|...|36.|   |.2.|...|.4.|   |.7.|4.1|.5.|   |..4|.8.|3..|
 |.3.|...|.8.|   |...|...|...|   |..3|...|8..|   |.2.|...|.4.|   |.53|7.1|26.|
 |.54|...|79.|   |.36|...|78.|   |.1.|...|.7.|   |.6.|9.7|.3.|   |..2|.5.|9..|
 |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|
 |..7|2.1|9..|   |.4.|7.1|.5.|   |.45|.7.|19.|   |.3.|...|.1.|   |...|496|...|
 |...|635|...|   |..2|3.4|6..|   |..8|3.6|5..|   |..9|652|8..|   |.6.|.1.|.5.|
 |...|...|...|   |...|...|...|   |...|...|...|   |...|...|...|   |...|...|...|
 *-----------*   *-----------*   *-----------*   *-----------*   *-----------*


 #0-9-6-1-0      #0-9-6-2-0      #0-12-5-2-0     #1-2-6-0-0      #1-4-3-0-0
 *-----------*   *-----------*   *-----------*   *-----------*   *-----------*
 |...|...|...|   |...|...|...|   |...|...|...|   |...|.8.|...|   |...|.5.|...|
 |.7.|.1.|.9.|   |.8.|.4.|.5.|   |.24|...|59.|   |...|2.5|...|   |..4|...|1..|
 |..6|8.5|3..|   |..7|6.1|8..|   |.65|.2.|14.|   |..9|3.6|7..|   |.5.|891|.2.|
 |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|
 |..8|.4.|5..|   |..3|1.9|6..|   |...|7.3|...|   |.74|...|85.|   |..1|...|8..|
 |.4.|9.3|.2.|   |.6.|...|.8.|   |..1|...|3..|   |9..|...|..2|   |4.6|...|5.7|
 |..3|.7.|1..|   |..1|5.2|7..|   |...|1.8|...|   |.51|...|47.|   |..9|...|6..|
 |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|
 |..1|6.2|7..|   |..8|2.3|5..|   |.82|.5.|91.|   |..7|8.4|3..|   |.8.|934|.1.|
 |.2.|.5.|.1.|   |.5.|.9.|.6.|   |.79|...|26.|   |...|6.9|...|   |..7|...|3..|
 |...|...|...|   |...|...|...|   |...|...|...|   |...|.2.|...|   |...|.7.|...|
 *-----------*   *-----------*   *-----------*   *-----------*   *-----------*

 #17-6-0-0-0     #18-8-1-1-0     #24-1-2-0-0     #24-8-1-2-0
 *-----------*   *-----------*   *-----------*   *-----------*   
 |8..|.4.|..3|   |2..|7.9|..3|   |91.|...|.54|   |32.|...|.96|
 |..9|1.2|6..|   |.9.|...|.1.|   |4..|.3.|..8|   |91.|...|.38|
 |.4.|...|.1.|   |...|.6.|...|   |...|1.4|...|   |...|.1.|...|
 |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|   
 |.1.|...|.9.|   |5..|.2.|..9|   |..4|...|5..|   |...|3.2|...|
 |3..|...|..1|   |..7|3.6|4..|   |.2.|...|.9.|   |..4|...|3..|
 |.5.|...|.6.|   |8..|.1.|..6|   |..8|...|3..|   |...|5.9|...|
 |---+---+---|   |---+---+---|   |---+---+---|   |---+---+---|   
 |.9.|...|.3.|   |...|.3.|...|   |...|9.7|...|   |...|.6.|...|
 |..2|6.8|1..|   |.5.|...|.7.|   |1..|.6.|..5|   |68.|...|.24|
 |4..|.2.|..8|   |6..|2.4|..8|   |57.|...|.23|   |49.|...|.15|
 *-----------*   *-----------*   *-----------*   *-----------*   
Ocean
 
Posts: 442
Joined: 29 August 2005

Postby JPF » Sun Apr 30, 2006 10:40 pm

Here is a minimal 21 for which we have the 20 (ab) :

Code: Select all
[M21   17-2-4-0-1]

 6 . . | . 7 . | . . 9
 . . . | 4 . 9 | . . .
 . . 4 | . . . | 1 . .
-------+-------+-------
 . 6 . | . . . | . 4 .
 2 . . | . 8 . | . . 7
 . 1 . | . . . | . 5 .
-------+-------+-------
 . . 5 | . . . | 3 . .
 . . . | 1 . 6 | . . .
 9 . . | . 2 . | . . 8

2-8-5-0-1   2-9-4-0-1   16-2-5-0-1   16-9-2-0-1  17-2-4-0-1   17-8-2-0-1

I think we should use this (Ocean's) presentation.

JPF

PS : a small 12 stepper
Last edited by JPF on Sun Apr 30, 2006 7:13 pm, edited 1 time in total.
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby ab » Sun Apr 30, 2006 11:13 pm

we do have the 20 for that puzzle!

I found a minimal 20 for that and this one too, which we also have a 20 for:
Code: Select all
-------------------                 
|     |  8  |     |   
|  1  |     |  2  |   
|    4|6   3|7    |   
-------------------
|    9|     |4    |   
|6    |  5  |    1|   
|    7|     |5    |   
-------------------
|    6|5   4|3    |   
|  3  |     |  9  |   
|     |  7  |     | 
-------------------
ab
 
Posts: 451
Joined: 06 September 2005

Postby JPF » Sun Apr 30, 2006 11:32 pm

ab wrote:we do have the 20 for that puzzle!

Yes, sorry, I realized that after my post et just before yours.
I have modified my comment.
It's not easy not to make a mistake with all these equivalent puzzles.

It would be nice if you could give the code(s) of your puzzle and use dots to represent the spaces ...:)

Thanks.

JPF
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby JPF » Mon May 01, 2006 12:32 am

Here is a minimal 21 for which we have the 20 from ab, again:)

Code: Select all
[M21   16-9-4-2-1]


 6 . . | . . . | . . 3
 . 5 . | . 1 . | . 4 .
 . . 8 | . . . | 9 . .
-------+-------+-------
 . . . | 3 . 6 | . . .
 . 4 . | . 2 . | . 5 .
 . . . | 9 . 4 | . . .
-------+-------+-------
 . . 9 | . . . | 3 . .
 . 1 . | . 7 . | . 2 .
 8 . . | . . . | . . 6


4-9-0-2-1   8-0-5-2-1   16-8-5-2-1   16-9-4-2-1   17-4-0-2-1   17-8-4-2-1


JPF
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby JPF » Mon May 01, 2006 1:06 am

And... a minimal 21 after the 20 from Ocean :
Code: Select all
[M21   0-5-2-0-1]

 . . . | . . . | . . .
 . . 1 | . 4 . | 5 . .
 . 6 . | 1 . 7 | . 2 .
-------+-------+-------
 . . 6 | . . . | 7 . .
 . 8 . | . 5 . | . 6 .
 . . 3 | . . . | 4 . .
-------+-------+-------
 . 2 . | 7 . 6 | . 8 .
 . . 4 | . 9 . | 1 . .
 . . . | . . . | . . .

0-5-2-0-1   0-6-1-0-1   5-0-2-0-1   6-0-1-0-1   9-2-0-0-1   10-1-0-0-1

JPF
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby JPF » Mon May 01, 2006 10:59 am

Two more 21 minimal ; we don't have their 20-equivalents yet.
Code: Select all
[M21   1-9-2-0-1]

 . . . | . 1 . | . . .
 . 9 . | . 5 . | . 3 .
 . . . | 4 . 7 | . . .
-------+-------+-------
 . . 8 | . . . | 4 . .
 5 6 . | . 4 . | . 1 9
 . . 7 | . . . | 8 . .
-------+-------+-------
 . . . | 2 . 8 | . . .
 . 1 . | . 9 . | . 6 .
 . . . | . 7 . | . . .

1-2-5-0-1   1-9-2-0-1   2-1-5-0-1   2-9-1-0-1   17-1-2-0-1   17-2-1-0-1



[M21   4-0-2-2-1]

 . . 1 | . . . | 7 . .
 . . . | . . . | . . .
 8 . . | 6 . 3 | . . 9
-------+-------+-------
 . . 6 | 7 . 9 | 4 . .
 . . . | . 3 . | . . .
 . . 2 | 5 . 8 | 1 . .
-------+-------+-------
 3 . . | 9 . 5 | . . 7
 . . . | . . . | . . .
 . . 4 | . . . | 2 . .

0-4-2-2-1   0-6-0-2-1   4-0-2-2-1   6-0-0-2-1   8-2-0-2-1   10-0-0-2-1



JPF
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby JPF » Mon May 01, 2006 7:47 pm

Seven 21 FSM (full symmetry, minimal).
Most of them have already an analog pattern in the actual 20 clues list.
Code: Select all

[M21   0-10-5-0-1]

 . . . | . . . | . . .
 . 5 . | 7 . 8 | . 6 .
 . . 2 | . 3 . | 9 . .
-------+-------+-------
 . 6 . | . . . | . 7 .
 . . 9 | . 1 . | 5 . .
 . 7 . | . . . | . 1 .
-------+-------+-------
 . . 3 | . 2 . | 4 . .
 . 2 . | 6 . 5 | . 8 .
 . . . | . . . | . . .

0-9-6-0-1   0-10-5-0-1   17-0-6-0-1   17-10-0-0-1   18-0-5-0-1   18-9-0-0-1



[M21   1-8-3-0-1]

 . . . | . 5 . | . . .
 . 8 . | . . . | . 2 .
 . . . | 1 3 4 | . . .
-------+-------+-------
 . . 6 | . . . | 7 . .
 2 . 1 | . 9 . | 4 . 3
 . . 3 | . . . | 1 . .
-------+-------+-------
 . . . | 6 1 3 | . . .
 . 7 . | . . . | . 5 .
 . . . | . 4 . | . . .

1-3-4-0-1   1-8-3-0-1   3-1-4-0-1   3-8-1-0-1   16-1-3-0-1   16-3-1-0-1



[M21   1-6-0-0-1]

 . . . | . 4 . | . . .
 . . 7 | 3 . 2 | 4 . .
 . 8 . | . . . | . 6 .
-------+-------+-------
 . 5 . | . . . | . 7 .
 8 . . | . 5 . | . . 6
 . 1 . | . . . | . 8 .
-------+-------+-------
 . 2 . | . . . | . 1 .
 . . 4 | 9 . 7 | 2 . .
 . . . | . 6 . | . . .

1-4-2-0-1   1-6-0-0-1   4-1-2-0-1   6-1-0-0-1   8-2-1-0-1   10-0-1-0-1



[M21   2-8-4-1-1]

 . . . | 4 . 3 | . . .
 . 8 . | . . . | . 6 .
 . . 3 | . . . | 1 . .
-------+-------+-------
 7 . . | . 9 . | . . 3
 . . . | 8 2 5 | . . .
 4 . . | . 7 . | . . 8
-------+-------+-------
 . . 4 | . . . | 5 . .
 . 5 . | . . . | . 8 .
 . . . | 1 . 7 | . . .

2-4-0-1-1   2-8-4-1-1   4-2-0-1-1   8-0-2-1-1   16-2-4-1-1   16-8-2-1-1




[M21   2-8-4-2-1]

 . . . | 3 . 7 | . . .
 . 1 . | . . . | . 5 .
 . . 2 | . . . | 1 . .
-------+-------+-------
 3 . . | 6 . 5 | . . 7
 . . . | . 2 . | . . .
 7 . . | 4 . 9 | . . 6
-------+-------+-------
 . . 3 | . . . | 2 . .
 . 9 . | . . . | . 4 .
 . . . | 5 . 6 | . . .

2-4-0-2-1   2-8-4-2-1   4-2-0-2-1   8-0-2-2-1   16-2-4-2-1   16-8-2-2-1




[M21   2-5-0-0-1]

 . . . | 4 . 9 | . . .
 . . 5 | . 1 . | 3 . .
 . 7 . | . . . | . 9 .
-------+-------+-------
 7 . . | . . . | . . 1
 . 4 . | . 6 . | . 7 .
 3 . . | . . . | . . 2
-------+-------+-------
 . 9 . | . . . | . 2 .
 . . 1 | . 4 . | 5 . .
 . . . | 3 . 7 | . . .

2-4-1-0-1   2-5-0-0-1   4-2-1-0-1   5-2-0-0-1   8-1-2-0-1   9-0-2-0-1



[M21   5-8-0-2-1]

 . . 2 | . 9 . | 7 . .
 . 5 . | . . . | . 8 .
 1 . . | . . . | . . 3
-------+-------+-------
 . . . | 7 . 6 | . . .
 5 . . | . 8 . | . . 1
 . . . | 5 . 9 | . . .
-------+-------+-------
 4 . . | . . . | . . 5
 . 7 . | . . . | . 4 .
 . . 9 | . 7 . | 6 . .

4-8-1-2-1   5-8-0-2-1   8-1-4-2-1   9-0-4-2-1   16-4-1-2-1   16-5-0-2-1


JPF
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby ab » Mon May 01, 2006 9:11 pm

another 21 for which we don't have a 20. not minimal though:
Code: Select all
...|...|...
.4.|.6.|.9.
...|5.1|...
-----------
..5|9.3|8..
.9.|.4.|.2.
..1|8.7|5..
-----------
...|7.8|...
.6.|.9.|.3.
...|...|...

17-2-0-2-1   
17-0-2-2-1   
2-9-0-2-1   
2-0-5-2-1
0-9-2-2-1   
0-2-5-2-1   
ab
 
Posts: 451
Joined: 06 September 2005

Postby JPF » Tue May 02, 2006 10:19 pm

Here is a list of all the different patterns of F.S. puzzles with 20 and 21 clues.
I suggest to use the FS code (the lowest number) to name a pattern, adding 0 for 20 clues and 1 for 21 clues.

I will update the list of the posted 20-21 puzzles in this format as soon as possible.


ab wrote:also I have annotated gfroyle's list with puzzles that are impossible ...
Code: Select all
20: 16-11-0-0-0   16-0-7-0-0   19-8-0-0-0   19-0-4-0-0   0-11-4-0-0   0-8-7-0-0 impossible

are you sure that this pattern is impossible ?

Code: Select all

LIST of the F.S. patterns (20 & 21 clues)
(x are the non valid patterns)
Add -0 or -1 for the full code of the pattern.
* for a non minimal solution.


Clues       |Clues       
20          |21              FS Code
            |             
X           |X               0-0-3-3   0-3-0-3   3-0-0-3
X           |X               0-0-6-3  0-10-0-3  18-0-0-3
X           |X               0-0-7-1  0-11-0-1  19-0-0-1
X           |X               0-0-7-2  0-11-0-2  19-0-0-2
X           |X               0-1-2-3   0-2-1-3   1-0-2-3   1-2-0-3   2-0-1-3   2-1-0-3
X           |X               0-1-3-1   0-3-1-1   1-0-3-1   1-3-0-1   3-0-1-1   3-1-0-1
X           |X               0-1-3-2   0-3-1-2   1-0-3-2   1-3-0-2   3-0-1-2   3-1-0-2
            |                0-1-5-3   0-9-1-3   1-0-5-3   1-9-0-3  17-0-1-3  17-1-0-3
            |                0-1-6-1  0-10-1-1   1-0-6-1  1-10-0-1  18-0-1-1  18-1-0-1
            |                0-1-6-2  0-10-1-2   1-0-6-2  1-10-0-2  18-0-1-2  18-1-0-2
            |                0-1-7-0  0-11-1-0   1-0-7-0  1-11-0-0  19-0-1-0  19-1-0-0
X           |X               0-2-2-1   2-0-2-1   2-2-0-1
X           |X               0-2-2-2   2-0-2-2   2-2-0-2
X           |X               0-2-3-0   0-3-2-0   2-0-3-0   2-3-0-0   3-0-2-0   3-2-0-0
            |                0-2-4-3   0-8-2-3   2-0-4-3   2-8-0-3  16-0-2-3  16-2-0-3
#34 ab/Ocean|#35 JPF/Ocean   0-2-5-1   0-9-2-1   2-0-5-1   2-9-0-1  17-0-2-1  17-2-0-1
            |#30* ab         0-2-5-2   0-9-2-2   2-0-5-2   2-9-0-2  17-0-2-2  17-2-0-2
            |                0-2-6-0  0-10-2-0   2-0-6-0  2-10-0-0  18-0-2-0  18-2-0-0
            |                0-3-4-1   0-8-3-1   3-0-4-1   3-8-0-1  16-0-3-1  16-3-0-1
            |                0-3-4-2   0-8-3-2   3-0-4-2   3-8-0-2  16-0-3-2  16-3-0-2
            |#16 ab          0-3-5-0   0-9-3-0   3-0-5-0   3-9-0-0  17-0-3-0  17-3-0-0
            |                0-4-1-3   0-5-0-3   4-0-1-3   5-0-0-3   8-1-0-3   9-0-0-3
#06 ab      |#15 Ocean       0-4-2-1   0-6-0-1   4-0-2-1   6-0-0-1   8-2-0-1  10-0-0-1
            |#22 JPF         0-4-2-2   0-6-0-2   4-0-2-2   6-0-0-2   8-2-0-2  10-0-0-2
            |                0-4-3-0   0-7-0-0   4-0-3-0   7-0-0-0   8-3-0-0  11-0-0-0
            |                0-4-4-3  0-12-0-3   4-0-4-3   8-8-0-3  20-0-0-3  24-0-0-3
            |                0-4-5-1  0-13-0-1   4-0-5-1   8-9-0-1  21-0-0-1  25-0-0-1
            |                0-4-5-2  0-13-0-2   4-0-5-2   8-9-0-2  21-0-0-2  25-0-0-2
            |                0-4-6-0  0-14-0-0   4-0-6-0  8-10-0-0  22-0-0-0  26-0-0-0
            |                0-5-1-1   0-9-5-1   5-0-1-1   9-1-0-1  17-0-5-1  17-9-0-1
            |                0-5-1-2   0-9-5-2   5-0-1-2   9-1-0-2  17-0-5-2  17-9-0-2
#01 Ocean   |#20 JPF         0-5-2-0   0-6-1-0   5-0-2-0   6-0-1-0   9-2-0-0  10-1-0-0
            |                0-5-4-1  0-12-1-1   5-0-4-1   9-8-0-1  20-0-1-1  24-1-0-1
            |                0-5-4-2  0-12-1-2   5-0-4-2   9-8-0-2  20-0-1-2  24-1-0-2
X           |X               0-5-5-0  0-13-1-0   5-0-5-0   9-9-0-0  21-0-1-0  25-1-0-0
            |                0-6-4-0  0-12-2-0   6-0-4-0  10-8-0-0  20-0-2-0  24-2-0-0
            |                0-8-5-3   0-9-4-3  16-0-5-3  16-9-0-3  17-0-4-3  17-8-0-3
#12 ab      |#32* ab         0-8-6-1  0-10-4-1  16-0-6-1 16-10-0-1  18-0-4-1  18-8-0-1
            |                0-8-6-2  0-10-4-2  16-0-6-2 16-10-0-2  18-0-4-2  18-8-0-2
            |                0-8-7-0  0-11-4-0  16-0-7-0 16-11-0-0  19-0-4-0  19-8-0-0
#33 Ocean   |#23 JPF         0-9-6-0  0-10-5-0  17-0-6-0 17-10-0-0  18-0-5-0  18-9-0-0
            |               0-12-4-1  20-0-4-1  24-8-0-1
            |               0-12-4-2  20-0-4-2  24-8-0-2
X           |X              0-12-5-0  0-13-4-0  20-0-5-0  21-0-4-0  24-9-0-0  25-8-0-0
X           |X               1-1-1-3
X           |X               1-1-2-1   1-2-1-1   2-1-1-1
X           |X               1-1-2-2   1-2-1-2   2-1-1-2
X           |X               1-1-3-0   1-3-1-0   3-1-1-0
            |                1-1-4-3   1-8-1-3  16-1-1-3
            |                1-1-5-1   1-9-1-1  17-1-1-1
            |                1-1-5-2   1-9-1-2  17-1-1-2
            |                1-1-6-0  1-10-1-0  18-1-1-0
X           |X               1-2-2-0   2-1-2-0   2-2-1-0
            |                1-2-4-1   1-8-2-1   2-1-4-1   2-8-1-1  16-1-2-1  16-2-1-1
            |                1-2-4-2   1-8-2-2   2-1-4-2   2-8-1-2  16-1-2-2  16-2-1-2
            |#21 JPF         1-2-5-0   1-9-2-0   2-1-5-0   2-9-1-0  17-1-2-0  17-2-1-0
#13 ab      |#24 JPF         1-3-4-0   1-8-3-0   3-1-4-0   3-8-1-0  16-1-3-0  16-3-1-0
            |                1-4-0-3   1-8-4-3   4-1-0-3   8-0-1-3  16-1-4-3  16-8-1-3
            |                1-4-1-1   1-5-0-1   4-1-1-1   5-1-0-1   8-1-1-1   9-0-1-1
            |                1-4-1-2   1-5-0-2   4-1-1-2   5-1-0-2   8-1-1-2   9-0-1-2
#10 ab      |#25 JPF         1-4-2-0   1-6-0-0   4-1-2-0   6-1-0-0   8-2-1-0  10-0-1-0
            |                1-4-4-1  1-12-0-1   4-1-4-1   8-8-1-1  20-1-0-1  24-0-1-1
#02 ab      |#31* ab         1-4-4-2  1-12-0-2   4-1-4-2   8-8-1-2  20-1-0-2  24-0-1-2
X           |X               1-4-5-0  1-13-0-0   4-1-5-0   8-9-1-0  21-1-0-0  25-0-1-0
X           |X               1-5-1-0   1-9-5-0   5-1-1-0   9-1-1-0  17-1-5-0  17-9-1-0
X           |X               1-5-4-0  1-12-1-0   5-1-4-0   9-8-1-0  20-1-1-0  24-1-1-0
            |                1-8-5-1   1-9-4-1  16-1-5-1  16-9-1-1  17-1-4-1  17-8-1-1
            |                1-8-5-2   1-9-4-2  16-1-5-2  16-9-1-2  17-1-4-2  17-8-1-2
#14 ab      |#18 ab          1-8-6-0  1-10-4-0  16-1-6-0 16-10-1-0  18-1-4-0  18-8-1-0
X           |X              1-12-4-0  20-1-4-0  24-8-1-0
            |                2-2-4-0   2-8-2-0  16-2-2-0
#07 ab      |#26 JPF         2-4-0-1   2-8-4-1   4-2-0-1   8-0-2-1  16-2-4-1  16-8-2-1
#09 ab      |#27 JPF         2-4-0-2   2-8-4-2   4-2-0-2   8-0-2-2  16-2-4-2  16-8-2-2
#05 ab      |#28 JPF         2-4-1-0   2-5-0-0   4-2-1-0   5-2-0-0   8-1-2-0   9-0-2-0
            |                2-4-4-0  2-12-0-0   4-2-4-0   8-8-2-0  20-2-0-0  24-0-2-0
#04 ab      |#17 JPF         2-8-5-0   2-9-4-0  16-2-5-0  16-9-2-0  17-2-4-0  17-8-2-0
            |                3-4-0-0   3-8-4-0   4-3-0-0   8-0-3-0  16-3-4-0  16-8-3-0
            |                4-4-0-1   8-4-0-1  12-0-0-1
            |                4-4-0-2   8-4-0-2  12-0-0-2
X           |X               4-4-1-0   8-5-0-0  13-0-0-0
X           |X               4-4-4-0  8-12-0-0  28-0-0-0
X           |X               4-5-0-0   5-4-0-0   8-4-1-0   9-4-0-0  12-0-1-0  12-1-0-0
            |                4-8-0-3   8-0-4-3  16-4-0-3  16-8-4-3
            |                4-8-1-1   5-8-0-1   8-1-4-1   9-0-4-1  16-4-1-1  16-5-0-1
#11 ab      |#29 JPF         4-8-1-2   5-8-0-2   8-1-4-2   9-0-4-2  16-4-1-2  16-5-0-2
            |                4-8-2-0   6-8-0-0   8-2-4-0  10-0-4-0  16-4-2-0  16-6-0-0
            |                4-8-4-1   8-8-4-1  16-4-4-1 16-12-0-1  20-8-0-1  24-0-4-1
            |                4-8-4-2   8-8-4-2  16-4-4-2 16-12-0-2  20-8-0-2  24-0-4-2
X           |X               4-8-5-0   8-9-4-0  16-4-5-0 16-13-0-0  21-8-0-0  25-0-4-0
            |                4-9-0-1   8-0-5-1  16-8-5-1  16-9-4-1  17-4-0-1  17-8-4-1
#03 ab      |#19 JPF         4-9-0-2   8-0-5-2  16-8-5-2  16-9-4-2  17-4-0-2  17-8-4-2
X           |X               4-9-1-0   5-9-0-0   8-1-5-0   9-0-5-0  17-4-1-0  17-5-0-0
X           |X               4-9-4-0   8-8-5-0  17-4-4-0 17-12-0-0  20-9-0-0  24-0-5-0
            |               4-10-0-0   8-0-6-0  16-8-6-0 16-10-4-0  18-4-0-0  18-8-4-0
X           |X              4-12-0-0   8-4-4-0  12-0-4-0  12-8-0-0  20-4-0-0  24-4-0-0
X           |X               5-8-1-0   9-1-4-0  16-5-1-0  16-9-5-0  17-8-5-0  17-9-4-0
X           |X               5-8-4-0   9-8-4-0  16-5-4-0 16-12-1-0  20-8-1-0  24-1-4-0
X           |X             16-12-4-0  20-8-4-0  24-8-4-0



Some patterns still to be solved !
3 patterns are looking for minimal solutions.

JPF
Last edited by JPF on Mon May 08, 2006 10:39 am, edited 4 times in total.
JPF
2017 Supporter
 
Posts: 3752
Joined: 06 December 2005
Location: Paris, France

Postby ab » Wed May 03, 2006 1:58 pm

JPF wrote:
ab wrote:also I have annotated gfroyle's list with puzzles that are impossible ...
Code: Select all
20: 16-11-0-0-0   16-0-7-0-0   19-8-0-0-0   19-0-4-0-0   0-11-4-0-0   0-8-7-0-0 impossible

are you sure that this pattern is impossible ?




my initial criterion for posting impossible puzzles was two empty lines in a band. That puzzle does not meet that, so I'm not sure that it's impossible. I do think it a very unlikely candidate, but that's just an opinion.

For anyone still searching for 20s I keep getting pseudo puzzles for 0-2-5-1-0 so that might be a good candidate. I reckon 0-2-5-2-0 is the next best bet and 1-4-4-1-0 is an outside chance. good luck!
ab
 
Posts: 451
Joined: 06 September 2005

PreviousNext

Return to General