"kuto" family

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"kuto" family

Postby champagne » Tue Jun 24, 2025 9:55 am

"kuto" is likely a new tridagon family of interest. As it starts in TE2 (coloin's check), it should not hit mith's TE3 file.

"kuto" appeared in the vicinity of a puzzle coming out of the direct search of non degenerative tridagon. It is my first skfr 11.8 derived fromt he search.

the start is in the solution grid 537529786

123456789456789132789132546215367894398245671647918325562893417874521963931674258

This solution grid has automorphism, what is not so common.

Here four 11.8 appearing in a vicinity with a quick check ignoring the auto morphs.


Code: Select all
.23...7.945......27.9.3.54.2......9439...5.....7...3.5...6.......4.2.......8....7;11.8/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.....7...3.5...8.......4.2.......6....7;11.8/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.....7...3.5...6....7..4.2.......8.....;11.8/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.....7...3.5...8....7..4.2.......6.....;11.8/1.2/1.2 minlex solution grid

with the solution grids

Code: Select all
123456789456789132789132546215367894398245671647918325931674258874521963562893417 
123458769458769132769132548215387694396245871847916325931874256674521983582693417 
123458769458769132769132548215387694396245871847916325582693417674521983931874256 
123456789456789132789132546215367894398245671647918325562893417874521963931674258 


all have the same "canonical" name
537529786 6TWLBmZWe8a280

This forces to put all results in the canonical morph, what is the normal secured way to get only new puzzles.


================================================================

pattern of the puzzle in this minlex solution grid.

123 456 789
456 789 132
789 132 546

215 367 894
398 245 671
647 918 325

562 893 417
874 521 963
931 674 258
Code: Select all
|++++++++++++++++++++|++++++++++++++++++++++++++|+++++++++++++++++++++++|
| 168    2      3    | 145   14568     1468     | 7         168    9    |
| 4      5      168  | 179   16789     16789    | 168       3      2    |
| 7      168    9    | 12    3         1268     | 5         4      168  |
|++++++++++++++++++++|++++++++++++++++++++++++++|+++++++++++++++++++++++|
| 2      168    5    | 3     1678      1678     | 168       9      4    |
| 3      9      168  | 124   1468      5        | 1268      7      168  |
| 168    4      7    | 129   1689      12689    | 3         1268   5    |
|++++++++++++++++++++|++++++++++++++++++++++++++|+++++++++++++++++++++++|
| 1569   136    126  | 8     1459      1349     | 12469     1256   7    |
| 15689  13678  4    | 1579  2         1379     | 1689      1568   1368 |
| 1589   1378   128  | 6     14579     13479    | 12489     1258   138  |
|++++++++++++++++++++|++++++++++++++++++++++++++|+++++++++++++++++++++++|

The tridagon pattern is on digits 168 in boxes 1 3 4 6

================================================================

The first "slightly expanded seed" used in the vicinity has been
Code: Select all
.23...7.945.....327.9.3.54.2.53...9439...5.7..47...3.5...8....7..4.2.......6..... 

having six minimal puzzles

The seed is likely one (or more) of these rated skfr 11.6

16128677 mbTO4I2DEH8042
16128677 mbTO4J25EH8042
16128677 GbTO6J2CEH8042
16128677 GbTO6J25EH8042
16128677 m5TO6J2CEH8042
16128677 m5TO6I2DEH8042

I started the vicinity on the high ratings. The first cycle was relatively short, I then started a second cycle in test mode with a lot of redundant seeds.
As I run in parallel a big test with the primary seeds of my scan, I could not run many cores and I have only partial results to show, what will come in the next post.
champagne
2017 Supporter
 
Posts: 7655
Joined: 02 August 2007
Location: France Brittany

Re: "kuto" family

Postby champagne » Tue Jun 24, 2025 8:24 pm

After the first vicinity search on “kuto”, I built a file of seeds expanding the results of the first cycle.
I am running the vicinity on a file of 751 expanded puzzles with 29 to 39 clues. The final result is expected later this week, but I checked the status halfway.

Having cleared all redundancy, I have now more than 1800 puzzles in 43 solution grids rating skfr >=10.5 with the best below
Hidden Text: Show
Code: Select all
....5.7.9..67.912....12..65...6...1..9....6.2....7259.3...1....8..........5....7.;11.6/1.2/1.2
....5.7.9..67.912....12..65...69..1..9....6.2....725..3...1....8..........5....7.;11.6/1.2/1.2
....567.9..67.912....12...5...6...1..9....6.2....7259.3...1....8..........5....7.;11.6/1.2/1.2
....567.9..67.912....12...5...69..1..9....6.2....725..3...1....8..........5....7.;11.6/1.2/1.2
.2....7.945.....32..9.3.54.2......9439...5.7...7...3.5...8......74.2.......6.4...;11.6/1.2/1.2
.2....7.945.....32..9.3.54.2......9439...5.7...7...3.5...8..4...7..2.......6.4...;11.6/1.2/1.2
.2....7.945.....32..9.3.54.2......9439...5.7...7...3.5...8..4...74.2.......6.....;11.6/1.2/1.2
.2....7.945.....32..9.3.54.2......9439...5.7..74...3.5...8..4....7.2.......6.4...;11.6/1.2/1.2
.2....7.945.....32..9.3.54.2......9439...5.7..74...3.5...8..4...47.2.......6.....;11.6/1.2/1.2
.2....7.945.....327.9.3.54.2......9439...5.7.......3.5...8......74.2.......6.4...;11.6/1.2/1.2
.2....7.945.....327.9.3.54.2......9439...5.7.......3.5...8..4...7..2.......6.4...;11.6/1.2/1.2
.2....7.945.....327.9.3.54.2......9439...5.7.......3.5...8..4...74.2.......6.....;11.6/1.2/1.2
.23...7.945......2..9.3.54.2......9439...5.7...7...3.5...8......74.2.......6.4...;11.6/1.2/1.2
.23...7.945......2..9.3.54.2......9439...5.7...7...3.5...8..4...7..2.......6.4...;11.6/1.2/1.2
.23...7.945......2..9.3.54.2......9439...5.7...7...3.5...8..4...74.2.......6.....;11.6/1.2/1.2
.23...7.945......2..9.3.54.2......9439...5.7..74...3.5...8......47.2.......6.4...;11.6/1.2/1.2
.23...7.945......2..9.3.54.2......9439...5.7..74...3.5...8..4....7.2.......6.4...;11.6/1.2/1.2
.23...7.945......2..9.3.54.2......9439...5.7..74...3.5...8..4...47.2.......6.....;11.6/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.7.......3.5...8......74.2.......6.4...;11.6/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.7.......3.5...8..4...7..2.......6.4...;11.6/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.7.......3.5...8..4...74.2.......6.....;11.6/1.2/1.2
.2....7.945.....327.9.3.54.2..3...9439...5.....7.....5...8....7..4.2.......6.....;11.7/1.2/1.2
.23...7.945......27.9.3.54.2..3...94.9...5.....7...3.5...8....7..4.2.......6.....;11.7/1.2/1.2
.23...7.945.....327.9...54.2..3...94.9...5.....7...3.5...8....7..4.2.......6.....;11.7/1.2/1.2
.23...7.945.....327.9...54.2..3...9439...5.....7.....5...8....7..4.2.......6.....;11.7/1.2/1.2
.2....7.945.....327.9.3.54.2......9439...5.....7...3.5...8....7..4.2.......6.....;11.8/1.2/1.2
.23...7.945......27.9.3.54.2......9439...5.....7...3.5...8....7..4.2.......6.....;11.8/1.2/1.2


Many more solution grids appear if we consider lower ratings. I’ll check this at the end of this cycle.
Meantime, my big test on the primary seeds of the scan should be nearly over, giving free cores to continue the vicinity search here.
champagne
2017 Supporter
 
Posts: 7655
Joined: 02 August 2007
Location: France Brittany


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