The New Sudoku Players' Forum

by **Eioru** » Sun Oct 01, 2006 5:15 pm

I wish there is a puzzle can break the rule of jellyfish seldom appear in puzzles, and create a the most beautiful puzzle which use jellyfish frequency.

by **udosuk** » Sun Oct 01, 2006 6:05 pm

Try 16x16 sudoku... Jellyfish (and larger fishes) should occur more frequently...

by **daj95376** » Sun Oct 01, 2006 7:00 pm

Eioru wrote:I wish there is a puzzle can break the rule of jellyfish seldom appear in puzzles, and create a the most beautiful puzzle which use jellyfish frequency.

Rarity is relative. In Superior Plus puzzles, Naked/Hidden Quads are the rarest techniques because Hidden Pairs/Triples are in the Superior category and often cancel them out.

Code: Select all: # Jellyfish (using Superior Plus ranking) .......63..763.48...3..8..1.3...41.5.1..8..3.5.63...7.2..7..3...74.562..65....... .....3..7.3.8.1..921...78........46...82.43...24........17...238..3.9.1.7..6..... ..5.2.68....6........9.72...58....7..42.7.36..3....54...72.3........9....24.6.8.. ..789...5.4...6..9.597..8....4..1..7.8..2..1.9..4..2....5..418.4..6...7.1...784.. ..98.2.6...8.....123...9.....64.....7...3...2.....76.....2...736.....9...4.1.38.. .3.5....98.93....5..4...16...14.....3..261..4.....86...13...9..6....24.84....3.5. .4..28.7187.6...2............48..26...1.4.9...86..24............6...9.4313.27..9. .5.6.98...3...7..9....4.51.8......4...3.1.7...9......6.84.7....1..9...3...94.1.8. .816.2....69.4......39..4....8....141..894..734....6....2..37......8.14....7.983. 1...6..858..2....73.5.8.9...8.7.9.3.....1.....2.3.6.7...8.9.7.62....3..965..7...3 2....358.....2...1...4.56.....9.4.68..5.1.9..61.8.2.....15.8...3...4.....263....4 3......89.1.6.......6..72..6..34..7.9.2.7.3.8.3..96..2..72..4.......9.2.12......3 4..2.7.8...3..85.6.786...4.2.....61.....2.....17.....4.5...346.6.15..2...3.1.2..8 48.6....2.6.85...4..74....8......82..2..9..5..15......1....52..9...82.4.2....6.17 6..8.23..84..5....25.7.....3....1.5.5..327..4.7.4....8.....4.86....1..72..25.8..3 8.6..43.9.7.8..5.4..........2..7..4.7.3.9.2.6.4..2..8..........4.8..2.9.2.95..8.7 9.74.....3...951.7.4...3.5.6....49.............31....8.8.7...3.7.153...4.....68.1 91...427.46...1..8...6...4....1...3.1.49.78.2.8...3....9...2...7..8...29.237...84

by **claudiarabia** » Thu Oct 12, 2006 8:09 am

Eioru wrote:I wish there is a puzzle can break the rule of jellyfish seldom appear in puzzles, and create a the most beautiful puzzle which use jellyfish frequency.

It is true that mostly the jellyfish-pattern is subjugated to other methods when the sudoku is more complex. The only chance to have a jellyfish in a SE-non-5,2-rated puzzle is, when there is no other way to crack away some disturbing candidates before going on.

I produced a an Arabian-Star-Puzzle in which you'll find a very symmetric Jellyfish.

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

and here's a more unsymmetric jelly.

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

happy fishing!

Claudia

by **tarek** » Thu Oct 12, 2006 10:00 am

claudiarabia wrote:I produced a an Arabian-Star-Puzzle in which you'll find a very symmetric Jellyfish.

A beautiful KILLER of a Jellyfish.....very rare indeed

tarek

by **udosuk** » Thu Oct 12, 2006 2:48 pm

claudiarabia wrote:and here's a more unsymmetric jelly.
Code: Select all
9 . . . . . . . 3 . . . . 6 . . . . . . 2 7 . 5 4 . . . . 7 . . 6 1 . . . 9 . . . . . 7 . . . 5 2 . . 6 . . . . 6 4 . 7 5 . . . . . . 1 . . . . 8 . . . . . . . 2

I'm obviously a poor fisherman... 'Cause I couldn't find the unsymmetric unfinned jellyfish in this puzzle...

Alternatively, I used 2 finned jellyfish to solve it:

Code: Select all: After SSTS: *-----------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 @348 |@389 6 @3489 | 89 2 1 | | 13 #138 2 | 7 #389 5 | 4 #89 6 | |-------------------+-------------------+-------------------| | 234 #238 7 | 59 #348 6 | 1 #38 59 | | 6 9 @38 |@1358 -348 @138 | 2 7 458 | | 134 #138 5 | 2 7 *389 | 6 #389 #489 | |-------------------+-------------------+-------------------| | 23 23 6 | 4 #89 7 | 5 1 #89 | | 5 4 9 |@38 1 2 |@38 6 7 | | 8 7 1 | 6 5 @39 |@39 4 2 | *-----------------------------------------------------------* @+*: Finned jellyfish of 3 (r2589c3467) eliminates 3 from r5c5 #+*: Finned jellyfish of 8 (r3467c2589) eliminates 8 from r5c5 Therefore r5c5=4 and the puzzle is solved with SSTS...

Anyone who can inform me on the whereabout of the unfinned jellyfish would be greatly appreciated...

by **ronk** » Thu Oct 12, 2006 3:15 pm

udosuk wrote:@+*: Finned jellyfish of 3 (r2589c3467) eliminates 3 from r5c5
...
Anyone who can inform me on the whereabout of the unfinned jellyfish would be greatly appreciated...

After above, there is row jellyfish in 3s in r2589c3467.

[edit: fish name was incorrect]

by **udosuk** » Thu Oct 12, 2006 3:32 pm

ronk wrote:After above, there is row swordfish in 3s in r2589c3467.

Thanks, but I think it wouldn't be appropriate for the puzzle to be called a "jellyfish" puzzle if you have to apply a finned jellyfish to reveal an unfinned one...

by **tarek** » Thu Oct 12, 2006 7:10 pm

Here is the KILLER Jellyfish in all its glory

Code: Select all: *--------------------------------------------------------------------------* | 4 -12567 *678 |*1378 136 *678 |*1257 -12367 9 | |-12678 -12679 *6789 |*13789 5 *6789 |*127 -123467 -13467 | | 1567 15679 3 | 4 169 2 | 8 167 1567 | |------------------------+------------------------+------------------------| | 57 4579 1 | 289 249 3 | 6 2789 78 | | 36 8 469 | 129 7 469 | 129 5 13 | | 367 3679 2 | 5 169 689 | 4 13789 1378 | |------------------------+------------------------+------------------------| | 278 247 5 | 6 249 1 | 3 4789 478 | |-12367 -123467 *467 |*2379 8 *4579 |*1579 -14679 -14567 | | 9 -13467 *4678 |*37 34 *457 |*157 -14678 2 | *--------------------------------------------------------------------------* Eliminating 7 From r1c2 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r1c8 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r2c1 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r2c2 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r2c8 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r2c9 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r8c1 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r8c2 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r8c8 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r8c9 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r9c2 (4x4x4x4 Jellyfish in Columns 3467) Eliminating 7 From r9c8 (4x4x4x4 Jellyfish in Columns 3467)

udosuk wrote:I think it wouldn't be appropriate for the puzzle to be called a "jellyfish" puzzle if you have to apply a finned jellyfish to reveal an unfinned one...

True, it is a "fishy" puzzle.....here is the solver log for some angling excercises (apologies if too long)

Code: Select all: *--------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 348 |*389 6 *3489 |*89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 |*3589 -3489 *6 |*1 389 4589 | | 6 9 38 | 1358 348 138 | 2 7 458 | | 134 138 5 | 2 7 #389 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 |*6 5 *39 |*39 4 2 | *--------------------------------------------------------* *--------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 348 | 389 6 3489 | 89 2 1 | | 13 138 2 | 7 *389 5 | 4 *89 *6 | |------------------+------------------+------------------| | 234 238 7 | 3589 -3489 6 | 1 389 4589 | | 6 9 38 | 1358 348 138 | 2 7 458 | | 134 138 5 | 2 *7 #389 | 6 *389 *489 | |------------------+------------------+------------------| | 23 23 6 | 4 *89 7 | 5 *1 *89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 |*6 5 *39 |*39 4 2 | *--------------------------------------------------------* Eliminating 9 From r4c5 (Finned Swordfish in Columns 467 with 1 fin in Box 5, or by constructing the Finned Swordfish in rows 367 with 1 fin in Box 5) Eliminating 3 From r6c2 (2 & 8 & 3 in r4c2 form an XYZ wing with r7c2 & r5c3) *--------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 348 | 389 6 3489 | 89 2 1 | |*13 *138 2 | 7 *389 5 | 4 *89 6 | |------------------+------------------+------------------| |*234 *238 7 |-3589 *348 6 | 1 *389 4589 | | 6 9 38 | 1358 #348 138 | 2 7 458 | |*134 *18 5 | 2 *7 -389 | 6 *389 489 | |------------------+------------------+------------------| |*23 *23 6 | 4 *89 7 | 5 *1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* *--------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 *348 |*389 6 *3489 |*89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 |-3589 348 6 | 1 389 4589 | | 6 9 *38 |*1358 #348 *138 |*2 7 458 | | 134 18 5 | 2 7 -389 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 *9 |*38 1 *2 |*38 6 7 | | 8 7 *1 |*6 5 *39 |*39 4 2 | *--------------------------------------------------------* Eliminating 3 From r4c4,r6c6 (Finned Jellyfish in Columns 1258 with 1 fins in Box 5, or by constructing the Finned Jellyfish in rows 2589 with 1 fin in Box 5) *--------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 *348 |*389 6 *3489 | 89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 | 589 348 6 | 1 389 4589 | | 6 9 *38 |*1358 -348 *138 | 2 7 458 | | 134 18 5 | 2 7 89 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 |*38 1 2 |*38 6 7 | | 8 7 1 | 6 5 *39 |*39 4 2 | *--------------------------------------------------------* Eliminating 3 From r5c5 (2x3x3x2 Jellyfish in Columns 3467) Eliminating 8 From r4c4 (9 & 3 in r9c6 form an XY wing with 8 in r6c6 & r8c4) Eliminating 8 From r5c4 (9 & 3 in r9c6 form an XY wing with 8 in r6c6 & r8c4) *--------------------------------------------------------* | 9 6 48 |#18 2 148 | 7 5 3 | | 7 5 348 |*389 6 -3489 |*89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 | 59 348 6 | 1 389 4589 | | 6 9 38 | 135 48 138 | 2 7 458 | | 134 18 5 | 2 7 89 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 |*38 1 2 |*38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* Eliminating 8 From r2c6 (Finned XWing in Columns 47 with 1 fin in Box 2) *--------------------------------------------------------* | 9 6 *48 |*18 2 *148 |*7 5 3 | | 7 5 *348 |*389 6 *349 |*89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 | 59 348 6 | 1 389 4589 | | 6 9 *38 |*135 -48 *138 |*2 7 458 | | 134 18 5 | 2 7 #89 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 *9 |*38 1 *2 |*38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* *--------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 348 | 389 6 349 | 89 2 1 | | 13 *138 2 | 7 *389 5 | 4 *89 *6 | |------------------+------------------+------------------| | 234 *238 7 | 59 *348 6 | 1 *389 *4589 | | 6 9 38 | 135 -48 138 | 2 7 458 | | 134 *18 5 | 2 *7 #89 | 6 *389 *489 | |------------------+------------------+------------------| | 23 *23 6 | 4 *89 7 | 5 *1 *89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* Eliminating 8 From r5c5 (Finned Jellyfish in Columns 3467 with 1 fin in Box 5, or by constructing the Finned Jellyfish in rows 3467 with 1 fin in Box 5) Eliminating 3 From r5c6 (9 & 8 in r6c6 form an XY wing with 3 in r9c6 & r4c5) *--------------------------------------------------------* | 9 6 48 |#18 2 -148 | 7 5 3 | | 7 5 348 | 389 6 349 | 89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 | 59 38 6 | 1 389 4589 | | 6 9 38 |-135 4 *18 | 2 7 58 | | 134 18 5 | 2 7 *89 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 |#38 1 2 | 38 6 7 | | 8 7 1 | 6 5 *39 | 39 4 2 | *--------------------------------------------------------* Eliminating 1 from r1c6(ALS-XZ A=1389 in r569c6 B=138 in r18c4 x=3 z=1) Eliminating 1 from r5c4(ALS-XZ A=1389 in r569c6 B=138 in r18c4 x=3 z=1) *--------------------------------------------------------* | 9 6 48 | 1 2 48 | 7 5 3 | | 7 5 -348 |*389 6 349 |*89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 | 59 38 6 | 1 389 4589 | | 6 9 38 | 35 4 1 | 2 7 58 | | 134 18 5 | 2 7 89 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 |*38 1 2 |*38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* Eliminating 8 From r2c3 ( XWing in Columns 47) *--------------------------------------------------------* | 9 6 *48 | 1 2 *48 | 7 5 3 | | 7 5 34 | 389 6 349 | 89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |------------------+------------------+------------------| | 234 238 7 | 59 38 6 | 1 389 4589 | | 6 9 #38 | 35 4 1 | 2 7 58 | | 134 -18 *5 | 2 7 *89 | 6 389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* Eliminating 8 From r6c2 (Finned XWing in Columns 36 with 1 fin in Box 4) *--------------------------------------------------------* | 9 6 48 | 1 2 48 | 7 5 3 | | 7 5 34 | 389 6 349 | 89 2 1 | | 1 *38 2 | 7 389 5 | 4 *89 6 | |------------------+------------------+------------------| | 234 *238 7 | 59 38 6 | 1 *389 -4589 | | 6 9 38 | 35 4 1 | 2 7 58 | | 34 1 5 | 2 7 89 | 6 #389 489 | |------------------+------------------+------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------* Eliminating 8 From r4c9 (Finned XWing in Columns 28 with 1 fin in Box 6) *-----------------------------------------------* | 9 6 48 | 1 2 48 | 7 5 3 | | 7 5 34 | 389 6 349 | 89 2 1 | | 1 *38 2 | 7 *389 5 | 4 89 *6 | |---------------+---------------+---------------| | 234 *238 7 | 59 *38 6 | 1 -389 *459 | | 6 9 38 | 35 4 1 | 2 7 #58 | | 34 1 5 | 2 7 89 | 6 389 #489 | |---------------+---------------+---------------| | 23 *23 6 | 4 *89 7 | 5 1 *89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *-----------------------------------------------* **Eliminating 8 From r4c8 (Finned Swordfish in Columns 259 with 2 fins in Box 6) (Tricky) *-----------------------------------------------* | 9 6 48 | 1 2 #48 | 7 5 3 | | 7 5 34 | 389 6 349 | 89 2 1 | | 1 38 2 | 7 -389 *5 | 4 *89 6 | |---------------+---------------+---------------| | 234 238 7 | 59 38 6 | 1 39 459 | | 6 9 38 | 35 4 1 | 2 7 58 | | 34 1 5 | 2 7 *89 | 6 *389 489 | |---------------+---------------+---------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *-----------------------------------------------* Eliminating 8 From r3c5 (Finned XWing in Columns 68 with 1 fin in Box 2) Eliminating 3 From r4c5 (9 & 5 in r4c4 form an XY wing with 3 in r4c8 & r5c4) Solving the puzzle

tarek

by **daj95376** » Thu Oct 12, 2006 8:26 pm

After the Jellyfish for <7> in [c3467] -or- [r3467], how are these six eliminations for <9> explained?

Code: Select all: *--------------------------------------------------------------------* | 4 1256 678 | 1378 136 678 | 1257 1236 9 | | 1268 126-9 6789 | 13789 5 6789 | 127 12346 1346 | | 1567 15679 3 | 4 169 2 | 8 167 1567 | |----------------------+----------------------+----------------------| | 57 4579 1 | 289 24-9 3 | 6 2789 78 | | 36 8 469 | 12-9 7 46-9 | 129 5 13 | | 367 3679 2 | 5 16-9 689 | 4 13789 1378 | |----------------------+----------------------+----------------------| | 278 247 5 | 6 249 1 | 3 4789 478 | | 1236 12346 467 | 2379 8 4579 | 1579 146-9 1456 | | 9 1346 4678 | 37 34 457 | 157 1468 2 | *--------------------------------------------------------------------*

by **ronk** » Thu Oct 12, 2006 9:06 pm

daj95376 wrote:After the Jellyfish for <7> in [c3467] -or- [r3467], how are these six eliminations for <9> explained?

Continuous x-cycle or continuous multi-coloring chains as I posted here.

by **udosuk** » Fri Oct 13, 2006 4:13 am

tarek, thanks for the analysis for the 2nd puzzle... However, I still can't see a normal (unfinned) jellyfish there (before any finned jellyfish)... Would Claudia ever come back to explain? :?:

by **claudiarabia** » Mon Oct 16, 2006 11:14 am

udosuk wrote:tarek, thanks for the analysis for the 2nd puzzle... However, I still can't see a normal (unfinned) jellyfish there (before any finned jellyfish)... Would Claudia ever come back to explain?

Hi,

Code: Select all: *--------------------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 348 | 389 6 3489 | 89 2 1 | | 13 138 2 | 7 389 5 | 4 89 6 | |----------------------+----------------------+----------------------| | 234 238 7 | 3589 3489 6 | 1 389 4589 | | 6 9 38 | 1358 348 138 | 2 7 458 | | 134 138 5 | 2 7 389 | 6 389 489 | |----------------------+----------------------+----------------------| | 23 23 6 | 4 89 7 | 5 1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------------------*

The grid above is the grid after every pointing and inserting of naked and hidden singles you can do.

The second grid shows the Jellyfish after some steps I have taken below the grid

Code: Select all: *--------------------------------------------------------------------* | 9 6 48 | 18 2 148 | 7 5 3 | | 7 5 348 | 389 6 3489 | 89 2 1 | | #13 #138 2 | 7 #389 5 | 4 89 6 | |----------------------+----------------------+----------------------| | 24 28 7 | 59 #348 6 | 1 #38 59 | | 6 9 38 | 1358 48 1348 | 2 7 458 | | #134 18 5 | 2 7 -13489 | 6 #389 489 | |----------------------+----------------------+----------------------| | #23 #23 6 | 4 389 7 | 5 1 89 | | 5 4 9 | 38 1 2 | 38 6 7 | | 8 7 1 | 6 5 39 | 39 4 2 | *--------------------------------------------------------------------*

Hi, just under tareks xy-wing there is another xy-wing in r4c2 as the center and r7c2 and r5c3 as wings.
1. When you eliminate the 3 in r6c2 with this xy-wing.
2. Then you have a URType4 in r4c1 and 2 and r7 c1 and 2. you can eliminate the two 3s in r4c1/2 then.
3. Through a bidirectional X-Cycle you can eliminate the 9 in r4c5.
4. A turbot fish will eliminate the 9 in r4c8.
5. you have a hidden pair then in r4c4/9 with 5 and 9
6. A forcing Chain in the left middle box and the middle box eliminates the 3 in r5c5.
7. finall you have a Jellyfish (unfinned) with which you can eliminate the 3 in r6c6.

Claudia
[/code]

by **udosuk** » Mon Oct 16, 2006 12:18 pm

Claudia, thanks for explaining...

No wonder I couldn't find that jellyfish, because normally we don't expect to apply forcing chains before fishes... Although that forcing chain is quite short, i.e. [r5c5]=4=[r4c5]-2-[r4c1]-8-[r4c2]-3-[r5c3]-3-[r5c5] => r5c5<>3...

Note my finned jellyfish makes the same elimination... When I know there are some other choices (e.g. jellyfish) I tend not to look for forcing chains, no matter how easy they're (okay I think like a computer

)...

by **claudiarabia** » Thu Oct 26, 2006 10:29 am

2fold diagonal mirror symmetry. I found two pattern

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

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

rotational symmetry. I found one pattern. It is the middel of the two above

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

simple diagonal mirror symmetry. Three pattern

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

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

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

So I can conclude that each Fish has the double amount of digits as amount of rows. I'm curious when I will find them in one puzzle.

Claudia

The New Sudoku Players' Forum

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a beautiful jellyfish in a beautiful puzzle

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Re: a beautiful jellyfish in a beautiful puzzle

jellyfish

symmetric patterns of a minimal jellyfish