## Fully symmetrical puzzles

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

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

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

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.

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

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 . | . . 82-8-5-0-1   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

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Joined: 06 December 2005
Location: Paris, France

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

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: 5937
Joined: 06 December 2005
Location: Paris, France

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 . . | . . . | . . 64-9-0-2-1   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: 5937
Joined: 06 December 2005
Location: Paris, France

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: 5937
Joined: 06 December 2005
Location: Paris, France

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: 5937
Joined: 06 December 2005
Location: Paris, France

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
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Location: Paris, France

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

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   3-0-0-3X           |X               0-0-6-3  0-10-0-3  18-0-0-3X           |X               0-0-7-1  0-11-0-1  19-0-0-1X           |X               0-0-7-2  0-11-0-2  19-0-0-2X           |X               0-1-2-3   0-2-1-3   1-0-2-3   1-2-0-3   2-0-1-3   2-1-0-3X           |X               0-1-3-1   0-3-1-1   1-0-3-1   1-3-0-1   3-0-1-1   3-1-0-1X           |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  19-1-0-0X           |X               0-2-2-1   2-0-2-1   2-2-0-1X           |X               0-2-2-2   2-0-2-2   2-2-0-2X           |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  24-1-0-2X           |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  24-8-0-2X           |X              0-12-5-0  0-13-4-0  20-0-5-0  21-0-4-0  24-9-0-0  25-8-0-0X           |X               1-1-1-3X           |X               1-1-2-1   1-2-1-1   2-1-1-1X           |X               1-1-2-2   1-2-1-2   2-1-1-2X           |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  18-1-1-0X           |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  24-0-1-2X           |X               1-4-5-0  1-13-0-0   4-1-5-0   8-9-1-0  21-1-0-0  25-0-1-0X           |X               1-5-1-0   1-9-5-0   5-1-1-0   9-1-1-0  17-1-5-0  17-9-1-0X           |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  18-8-1-0X           |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  12-0-0-2X           |X               4-4-1-0   8-5-0-0  13-0-0-0X           |X               4-4-4-0  8-12-0-0  28-0-0-0X           |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  24-0-4-2X           |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  17-8-4-2X           |X               4-9-1-0   5-9-0-0   8-1-5-0   9-0-5-0  17-4-1-0  17-5-0-0X           |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  18-8-4-0X           |X              4-12-0-0   8-4-4-0  12-0-4-0  12-8-0-0  20-4-0-0  24-4-0-0X           |X               5-8-1-0   9-1-4-0  16-5-1-0  16-9-5-0  17-8-5-0  17-9-4-0X           |X               5-8-4-0   9-8-4-0  16-5-4-0 16-12-1-0  20-8-1-0  24-1-4-0X           |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: 5937
Joined: 06 December 2005
Location: Paris, France

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

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