CHAINS, not required. Good puzzles.

Post puzzles for others to solve here.

Postby wapati » Thu Apr 12, 2007 11:40 pm

There is a swordfish, or finned sworfish, involved in pattern solving this.

Code: Select all
5 . . | . . . | . . 6
8 1 . | . . . | . 9 3
. 4 6 | . . . | 8 1 .
---------------------
. 3 . | 4 . 7 | . 5 .
. . . | . . . | . . .
. . 5 | 6 1 3 | 2 . .
---------------------
. . . | 9 . 2 | . . .
. 6 . | 1 . 5 | . 7 .
4 . . | . 3 . | . . 9
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Postby wapati » Fri Apr 13, 2007 9:03 pm

This is pretty busy. Perhaps a finned sword, not sure if it is robust.

Code: Select all
5 . 1|. 9 .|. . 2
. . 6|. . 2|. . .
2 7 .|5 . 1|. . .
-----+-----+-----
. . 5|7 . .|2 3 .
6 . .|. . .|. . 7
. 2 3|. . 9|4 . .
-----+-----+-----
. . .|2 . 6|. 7 1
. . .|9 . .|3 . .
9 . .|. 5 .|6 . 4
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Postby re'born » Fri Apr 13, 2007 9:55 pm

wapati wrote:This is pretty busy. Perhaps a finned sword, not sure if it is robust.

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


Simple stuff takes us to:

Code: Select all
.---------------.---------------.---------------.
| 5    348  1   | 468  9    38  | 7    46   2   |
| 348  3489 6   | 48   7    2   | 5    1    39  |
| 2    7    49  | 5    36   1   | 8    469  369 |
:---------------+---------------+---------------:
| 18   189  5   | 7    468  48  | 2    3    689 |
| 6    489  489 | 3    2    5   | 1    89   7   |
| 7    2    3   | 168  168  9   | 4    568  568 |
:---------------+---------------+---------------:
| 348  5    48  | 2    348  6   | 9    7    1   |
| 148  6    27  | 9    148  478 | 3    258  58  |
| 9    138  27  | 18   5    378 | 6    28   4   |
'---------------'---------------'---------------'


Note the potential deadly pattern in r12c24[48]. So r1c2=3, r1c4=6, r2c2=3 or r2c2=9.

If r1c6=3, then r1c2<>3, r2c2<>3 (via r9c6 and r9c2). Also, r3c5=6 and so r1c4<>6. Moreover, we get r3c9=3 and so r2c9=9 implying r2c2<>9. This contradiction shows that r1c6<>3 which solves the puzzle.

Notation guru's, please help me with the notation for this:!: My best guess is that it looks something like:

[r1c6](-3-[r1c2])(-3-[r9c6]=3=[r9c2]-3-[r2c2])-3-[r3c5]-6-[r1c4]=6|9=[r2c2]-9-[r2c9]-3-[r2c1]

and so r1c6<>3, solving the puzzle.
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Postby wapati » Mon Apr 16, 2007 11:19 am

Several finned fish here.

Code: Select all
8 . . | 6 . 1 | . . 3
1 7 . | 4 . 9 | . 6 8
. . 6 | . . . | 9 . .
---------------------
. . 9 | 3 . 7 | 4 . .
. 6 . | . . . | . 2 .
. 5 . | . . . | . 7 .
---------------------
. . . | . . . | . . .
. . . | 7 . 2 | . . .
. . 2 | 9 3 4 | 6 . .
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Postby wapati » Mon Apr 16, 2007 11:22 am

This one has a lot of small patterns and a finned swordfish.

Code: Select all
9 . .|4 . 3|. . 8
. . .|8 6 9|. . .
. 6 .|. . .|. 9 .
-----+-----+-----
. 3 .|. . .|. 5 .
. . .|3 . 2|. . .
8 . 1|. 5 .|4 . 3
-----+-----+-----
. 1 .|. . .|. 8 .
. . 2|. 3 .|5 . .
. . 6|2 8 1|7 . .
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Postby wapati » Mon Apr 16, 2007 9:27 pm

3 swordfish. And stuff.

Code: Select all
6 . . | . 8 . | . . 1
. 4 . | . . . | . 2 .
. . 5 | . . . | 7 . .
---------------------
. . . | 5 . 4 | . . .
7 . . | . . . | . . 9
. . . | 1 . 2 | . . .
---------------------
. . 3 | . . . | 4 . .
. 2 . | . . . | . 5 .
1 . . | . 6 . | . . 8
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Postby wapati » Wed Apr 18, 2007 1:34 pm

A lot of different potential paths but no big fish that I saw.

Code: Select all
. 6 .|. 2 .|. 5 .
2 . .|5 . 9|. . 6
. . 9|4 . 7|2 . .
-----+-----+-----
. 4 .|3 . 6|. 1 .
. . 3|. . .|9 . .
5 . .|. . .|. . 8
-----+-----+-----
. . 2|6 . 4|7 . .
. . .|9 1 8|. . .
. . .|. 7 .|. . .
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Postby wapati » Fri Apr 20, 2007 6:42 pm

Fins, for sure. Finned sword, probably.

Code: Select all
. . . | . . . | . 5 4
. 2 3 | 9 . . | . 6 1
. 1 . | . 6 . | 3 . .
---------------------
. 4 . | 5 1 . | . . .
. . 8 | 6 . 4 | 5 . .
. . . | . 2 9 | . 3 .
---------------------
. . 5 | . 9 . | . 8 .
9 8 . | . . 2 | 1 4 .
1 7 . | . . . | . . .
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Postby wapati » Fri Apr 20, 2007 11:18 pm

Probably a swordfish. Certainly many smaller creatures.

Code: Select all
4 . .|. 1 .|7 . .
. . 5|3 . .|. . .
. 8 2|. . .|. . 9
-----+-----+-----
. 4 .|2 5 .|. . .
8 . .|7 . 9|. . 1
. . .|. 3 1|. 5 .
-----+-----+-----
5 . .|. . .|6 9 .
. . .|. . 7|2 . .
. . 8|. 9 .|. . 7
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Postby wapati » Tue Apr 24, 2007 3:49 pm

There is a swordfish here, and many other finned fish.

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


This puzzle has 5 too many clues but removing them leaves chains required, still, here it is minimal and diagonally symmetric:

8..7..96....3....7....6...8.2..37.....45.27...6..4..127...8....2..1.3....98.....1

Ughh, chains required.:(
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There comes a time.

Postby wapati » Wed Apr 25, 2007 6:35 am

I have some puzzles generated ahead, they take hours each.

Here are the last few, that is it for me in this thread.



....8.7.4.8...9.2...7...8.6....57.4.9..6.3..1.4.91....1.4...3...9.1...5.8.6.9....

2....15...5..4..2.7....63....24...5....692....9...36....83....7.2..8..3...32....4

9..4.3..8...869....6.....9..3.....5....3.2...8.1.5.4.3.1.....8...2.3.5....62817..

.........4.......3.15...62.3..5.2..9.2.....4..8..7..1..5..3..9.1..8.7..2..92.61..

1.......92.4...5.1.9.8.1.3.....5.....7.....4...64.27...4.....9..5.1.3.6.6..794..3

5.1.9...2..6..2...27.5.1.....57..23.6.......7.23..94.....2.6.71...9..3..9...5.6.4

52...1.6.8..42...1..........9..7...4.5.1.2.7.6...4..8..........9...37..5.7.5...43

87.42....9.4.37....1.......2....9.1.46...1.37.9.76...4.......7....81.3.9....74.25
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Postby ArkieTech » Thu Apr 26, 2007 7:55 am

wapati,

Thank you for all the wonderful puzzles.

dan
dan
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Re: There comes a time.

Postby ravel » Thu Apr 26, 2007 7:03 pm

wapati wrote:Here are the last few, that is it for me in this thread.
Oh, thanks for your good work!
Still hope, that you will come back:)
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Re: There comes a time.

Postby wapati » Fri Apr 27, 2007 5:02 am

ravel wrote:
wapati wrote:Here are the last few, that is it for me in this thread.
Oh, thanks for your good work!
Still hope, that you will come back:)


Thanks you two!

I may start a new thread, I still don't like chains.


I need a rest.:idea:
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