The BxB classification of T&E(2) puzzles

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

Re: The BxB classification of T&E(2) puzzles

Postby Paquita » Mon Aug 19, 2024 5:45 pm

some more B10B

Code: Select all
1.3.5...9.5.1....669.73...5.......43......8..7.......1.7.6......6139....9.5..1...
1.3.5...9.5.1....669.73...5.......43......8..7.......1.7.6.5....6139....9....1...
1.3.5...9.5.1....669.73...5.......43......8..7.......137.6......6139......5..1...
1...567....718....68.3.75.........4.36....8.7........251..3....7.8.65....368.1..5
1...567...5.18....68.3.75.........4.36....8.7........251..3....7.8.65....368.1..5
....567....718....68.3.75.........4.361...8.7........251..3....7.8.65....368....5
....567...5.18....68.3.75.........4.361...8.7........251..3....7.8.65....368....5
...45..8........3.........62.18.4.....59.....94..1..2..945.82..5.21..8..81..92...
Paquita
 
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Re: The BxB classification of T&E(2) puzzles

Postby coloin » Mon Aug 19, 2024 7:17 pm

Very nice finds ..... New 11.8 puzzles and BxB 10
That takes a lot of work as they are usually 11.7 !!
That last one however crept in and its one posted by hendrik [7th May]

Here are the max expands and the respective extra but similar twin puzzles....identified by the number of twins and -q2
They all should have the same BxB of 10
Code: Select all
....5678...718.2.6...2.7.152.1865....3.......9...........6.85.1....7182....52..6. #3 #  27600 FNBP C31/M2.9.8019# ED=11.7/11.7/2.6
1.3.56..9.571.9..669.73...5.......43......8..7.......137.6.5....6139....9.5..1... #3 #  28863 FNBP C31/M2.9.8019# ED=11.8/11.8/2.6
1..4.678.4..18.2.68...27.1429.........5......6.......7...8.4.72...6..8.1....1264. #3 #  29229 FNBP C31/M2.9.8019# ED=11.7/11.7/2.6
1..4.678.4..18.2.66...27.1429.7.......5......8......27....748.1...8..64....61..72 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1..4.678.4..18.2.66...27.1429.7.......5......8......72....148.7...8..64....67..21 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1..4.678.4..18.2.66...27.1429.7.......5......8......72....748.1...8..64....61..27 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1..4.678.4..18.2.66...27.4129.7.......5......8......27....718.4...8..61....64..72 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1..4.678.4..18.2.66...27.4129.7.......5......8......72....418.7...8..61....67..24 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1..4.678.4..18.2.66...27.4129.7.......5......8......72....718.4...8..61....64..27 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
...4.678...718.2.6..8.72.41...81.4.7.8..6412....2...68.74...612.3.......9........ #10#   1198 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1...5678....18..366..7.31.5.1..37.58...5..31....8.16.7.4.........2......86....573 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
1.3.567...5718....68.3.75.........4.361...8.7........251..3....7.8.65....368.1..5 #10#   1200 FNBP C33/M2.72.91 # ED=11.8/11.8/2.6
12..56..9.571.9..66.927...12..69.....76.21...91.7.5.........8..7......35...5.7..2 #10#   1203 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6
.2..56...45......6..9.........53..67....6712....2.1..3.1.6.237..7.31..52.3..756.1 #6 #    343 FNBP C33/M1.1.54  # ED=11.8/11.8/2.6
.2..56...45......6..9.........56..73....7216....3.1..2.1.6.732..3.21..57.7..356.1 #6 #    343 FNBP C33/M1.1.54  # ED=11.8/11.8/2.6
.2..56...45......6..9.........56..73....7216....3.1..2.1.6.732..7.23..51.3..156.7 #6 #    343 FNBP C33/M1.1.54  # ED=11.8/11.8/2.6
.2..56...45......6..9.........57..63....6217....3.1..2.1.6.732..3.21..57.7..356.1 #6 #    343 FNBP C33/M1.1.54  # ED=11.8/11.8/2.6
.2..56...45......6..9.........57..63....6217....3.1..2.1.6.732..7.23..51.3..156.7 #6 #    343 FNBP C33/M1.1.54  # ED=11.8/11.8/2.6
12.45.....571.92..9...72...2.9.15.4..4172....57.9.4.2....59741.......6..........3 #6 #    346 FNBP C33/M1.1.54  # ED=11.8/11.8/2.6
.2345...945..89...8.92.3..523.84.9...98.35.....49.2.........6.........7....3245.8 #2 #    269 FNBP C33/M1.2.54  # ED=11.8/11.8/2.6
.2.4.678....18.2.6.8..27.41....78.6...86.14.7...24.81.3..........5.......12764... #2 #    301 FNBP C33/M1.2.54  # ED=11.8/11.8/2.6

98 minimal puzzles
Hidden Text: Show
Code: Select all
......78...718...6...2...152.1865....3.......9...........6.8..1....7182....52..6.# 1
....5.78...718...6...2...1.2.1865....3.......9...........6.85.1....7182....52..6.# 2
.....678...718.2.....2...152.1865....3.......9...........6.8..1....7182....52..6.# 3
1.3.5...9.5.1....669.73...5.......43......8..7.......1.7.6......6139....9.5..1...# 4
1.3.5...9.5.1....669.73...5.......43......8..7.......137.6......6139......5..1...# 5
1.3.5...9.5.1....669.73...5.......43......8..7.......1.7.6.5....6139....9....1...# 6
1..4.6.8.4..18.2.68...27.1429.........5......6.......7.....4.7....6..8.1....1264.# 7
1..4.6.8.4..18.2.68...27.1429.........5......6.......7...8.4.7....6....1....1264.# 8
1..4.6.8.4..18.2.68...27.1429.........5......6.......7.....4.72...6..8......1264.# 9
1..4.678.4..18...6....27.1429.7.......5......8......2.....748.1...8..64....61..72#10
1..4.678.4..18...66...27.1429.7.......5......8......2.....748.1...8..64.....1..72#11
1..4.678.4..18...6....27.1429.7.......5......8......27....748.1...8..64....61...2#12
1..4.678.4..18...66...27.1429.7.......5......8......27....748.1...8..64.....1...2#13
1..4.6.8.4..18.2.6....27.1429.7.......5......8......27....748.1...8..64....61..72#14
1..4.6.8.4..18.2.66...27.1429.7.......5......8......27....748.1...8..64.....1..72#15
1..4.6.8.4..18.2.6....27.1429.7.......5......8......72....148.7...8..64....67..21#16
1..4.678.4..18...6....27.1429.7.......5......8......72....148.7...8..64....67..21#17
1..4.6.8.4..18.2.66...27.1429.7.......5......8......72....148.7...8..64.....7..21#18
1..4.678.4..18...66...27.1429.7.......5......8......72....148.7...8..64.....7..21#19
1..4.6.8.4..18.2.6....27.1429.7.......5......8......72....748.1...8..64....61..27#20
1..4.678.4..18...6....27.1429.7.......5......8......72....748.1...8..64....61..27#21
1..4.6.8.4..18.2.66...27.1429.7.......5......8......72....748.1...8..64.....1..27#22
1..4.678.4..18...66...27.1429.7.......5......8......72....748.1...8..64.....1..27#23
1....678.4...8...6....27.4129.7.......5......8......2.....718.4...8..61....64..72#24
1....678.4...8...66...27.4129.7.......5......8......2.....718.4...8..61.....4..72#25
1....678.4...8...6....27.4129.7.......5......8......27....718.4...8..61....64...2#26
1....678.4...8...66...27.4129.7.......5......8......27....718.4...8..61.....4...2#27
1....6.8.4...8.2.6....27.4129.7.......5......8......27....718.4...8..61....64..72#28
1....6.8.4...8.2.66...27.4129.7.......5......8......27....718.4...8..61.....4..72#29
1....6.8.4...8.2.6....27.4129.7.......5......8......72....418.7...8..61....67..24#30
1....678.4...8...6....27.4129.7.......5......8......72....418.7...8..61....67..24#31
1....6.8.4...8.2.66...27.4129.7.......5......8......72....418.7...8..61.....7..24#32
1....678.4...8...66...27.4129.7.......5......8......72....418.7...8..61.....7..24#33
1....6.8.4...8.2.6....27.4129.7.......5......8......72....718.4...8..61....64..27#34
1....678.4...8...6....27.4129.7.......5......8......72....718.4...8..61....64..27#35
1....6.8.4...8.2.66...27.4129.7.......5......8......72....718.4...8..61.....4..27#36
1....678.4...8...66...27.4129.7.......5......8......72....718.4...8..61.....4..27#37
...4.6.8...718......8.72.41...81.4.7.8...412....2...68.74...612.3.......9........#38
...4.67....718......8.72.41...81.4.7.8...412....2...68.74...612.3.......9........#39
...4.6.8...718...6..8.72.41...81.4.7.8..6412....2...68.74....12.3.......9........#40
...4.67....718...6..8.72.41...81.4.7.8..6412....2...68.74....12.3.......9........#41
1...5678.....8..3.6..7..1...1..37.58...5...1....8.16.7.4.........2......86....573#42
1...5678....18..3.6..7......1..37.58...5...1....8.16.7.4.........2......86....573#43
1...5678.....8....6..7.31...1..37.58...5..31......16.7.4.........2......86....573#44
1...5678....18....6..7.3....1..37.58...5..31......16.7.4.........2......86....573#45
1...5678.....8..3.6..7.31...1..37.58...5...1......16.7.4.........2......86....573#46
1...5678....18..3.6..7.3....1..37.58...5...1......16.7.4.........2......86....573#47
1...5678.....8..3.6..7.31...1..37.58...5..31....8.16.7.4.........2......86....57.#48
1...5678....18..3.6..7.3....1..37.58...5..31....8.16.7.4.........2......86....57.#49
....567....718....68.3.75.........4.361...8.7........251..3....7.8.65....368....5#50
....567...5.18....68.3.75.........4.361...8.7........251..3....7.8.65....368....5#51
1...567....718....68.3.75.........4.36....8.7........251..3....7.8.65....368.1..5#52
1...567...5.18....68.3.75.........4.36....8.7........251..3....7.8.65....368.1..5#53
12......9.571....66.927...12..69.....76.21....1...5.........8..7......35...5.7..2#54
12......9.571....66.927...12..69.....76.21....1.7.5.........8..7......35...5....2#55
12..5...9.571....66.92....12..69.....76.21....1.7.5.........8..7......35...5.7..2#56
12........571.9..66.927...12..69.....76.21...91...5.........8..7......35...5.7..2#57
12........571.9..66.927...12..69.....76.21...91.7.5.........8..7......35...5....2#58
12..5.....571.9..66.92....12..69.....76.21...91.7.5.........8..7......35...5.7..2#59
.2..56...45......6..9.........53..67....6712....2.1..3.1...23...7.3...52....7.6.1#60
.2..56...45......6..9.........53..67....6712....2.1..3.1...2.7..7.3...52.3..7.6.1#61
.2..56...45......6..9.........56..7.....7216....3.1..2.1....32..3.2...57.7....6.1#62
.2..56...45......6..9.........56..73....7216....3.1..2.1.....2..3.2...57.7..3.6.1#63
.2..56...45......6..9.........56..73....7216....3.1..2.1....32....2...57.7..3.6.1#64
.2..56...45......6..9.........56..7.....7216....3.1..2.1....32..7.23..5..3..1.6.7#65
.2..56...45......6..9.........56..73....7216....3.1..2.1.....2..7.23..5..3..1.6.7#66
.2..56...45......6..9.........56..73....7216....3.1..2.1....32..7.23..5.....1.6.7#67
.2..56...45......6..9.........56..7.....7216....3.1..2.1...732..7.23..5..3..1.6..#68
.2..56...45......6..9.........56..73....7216....3.1..2.1...7.2..7.23..5..3..1.6..#69
.2..56...45......6..9.........56..73....7216....3.1..2.1...732..7.23..5.....1.6..#70
.2..56...45......6..9.........5...6.....6217....3.1..2.1...732..3.2...57.7....6.1#71
.2..56...45......6..9.........57..6.....6217....3.1..2.1....32..3.2...57.7....6.1#72
.2..56...45......6..9.........5...63....6217....3.1..2.1...7.2..3.2...57.7..3.6.1#73
.2..56...45......6..9.........57..63....6217....3.1..2.1.....2..3.2...57.7..3.6.1#74
.2..56...45......6..9.........5...63....6217....3.1..2.1...732....2...57.7..3.6.1#75
.2..56...45......6..9.........57..63....6217....3.1..2.1....32....2...57.7..3.6.1#76
.2..56...45......6..9.........5...6.....6217....3.1..2.1...732..7.23..5..3..1.6..#77
.2..56...45......6..9.........5...63....6217....3.1..2.1...7.2..7.23..5..3..1.6..#78
.2..56...45......6..9.........5...63....6217....3.1..2.1...732..7.23..5.....1.6..#79
.2..56...45......6..9.........57..6.....6217....3.1..2.1....32..7.23..5..3..1.6.7#80
.2..56...45......6..9.........57..63....6217....3.1..2.1.....2..7.23..5..3..1.6.7#81
.2..56...45......6..9.........57..63....6217....3.1..2.1....32..7.23..5.....1.6.7#82
12.4......571.92..9...72.....9.15.4..4172....57...4.2....59.41.......6..........3#83
12.4......571.92..9...72...2.9.15.4..417.....57...4.2....59.41.......6..........3#84
12.4......571.92..9...72...2.9.15.4..4172....57...4......59.41.......6..........3#85
12.45.....571.92..9....2.....9.15.4..4172....57...4.2....59741.......6..........3#86
12.45.....571.92..9....2...2.9.15.4..417.....57...4.2....59741.......6..........3#87
12.45.....571.92..9....2...2.9.15.4..4172....57...4......59741.......6..........3#88
..3......45..89...8.92....523.84.9...98.35.....49...........6.........7....3245.8#89
..3.....945..8....8.92....523.84.9...98.35.....49...........6.........7....3245.8#90
..3.....945..89...8..2....523.84.9...98.35.....49...........6.........7....3245.8#91
..34.....45..89...8.92....523.8..9...98.35.....49...........6.........7....3245.8#92
..34....945..8....8.92....523.8..9...98.35.....49...........6.........7....3245.8#93
..34....945..89...8..2....523.8..9...98.35.....49...........6.........7....3245.8#94
.2.....8....1..2.6.8...7.41.....8.6...86.14.7...24.81.3..........5.......12764...#95
.2...6.8....1..2.6.8...7.41.....8.6...8..14.7...24.81.3..........5.......12764...#96
.2.4...8....1..2.6.8...7.41....78.6...86.14.7...2..81.3..........5.......12764...#97
.2.4.6.8....1..2.6.8...7.41....78.6...8..14.7...2..81.3..........5.......12764...#98

Edit - included line numbers
Last edited by coloin on Tue Aug 20, 2024 10:36 am, edited 3 times in total.
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Re: The BxB classification of T&E(2) puzzles

Postby denis_berthier » Tue Aug 20, 2024 4:06 am

.
Hi Paquita
Great results again.
I checked that the 47 B10B puzzles have a non-degenerate tridagon, all with only one guardian.
Using the tridagon rule, 12 of them can be solved using only whips[2] and Triplets.
.
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Re: The BxB classification of T&E(2) puzzles

Postby denis_berthier » Tue Aug 20, 2024 4:21 am

.
Hi coloin
I also checked your list of 98 (does it include Paquita's list of 47?).
All have a non-degenerate-tridagon, almost all with only one guardian (the other 4 with 2 guardians: #44, #45, #46, #47).
33 can be solved using only the tridagon rule (with one guardian), whips[2] and Triplets.
.
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Re: The BxB classification of T&E(2) puzzles

Postby coloin » Tue Aug 20, 2024 9:01 am

Indeed they do include the previous puzzles .....
Ive always wondered where the dexcription/example of a "guardian" is !!!
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Re: The BxB classification of T&E(2) puzzles

Postby denis_berthier » Tue Aug 20, 2024 9:25 am

coloin wrote:Ive always wondered where the dexcription/example of a "guardian" is !!!


Tridagons in general as defined here: http://forum.enjoysudoku.com/the-tridagon-rule-t39859.html#p318373 and in [UMNR] or [HCCS2].
A guardian is any non-tridagon candidate in any of the 12 tridagon cells. It "guards" against the contradiction the naked trivalue oddagon pattern would imply.
.
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Re: The BxB classification of T&E(2) puzzles

Postby coloin » Tue Aug 20, 2024 9:54 am

Thanks i assumed that but was never sure ... but i guess for the casual reader it wasnt crystal clear

Code: Select all
1...5678....18....6..7.3....1..37.58...5..31......16.7.4.........2......86....573#45


morphed and expanded #45
Code: Select all
+-------------------+-------------------+-------------------+
| 6     9     123   | 123   8     4     | 12357 1357  2357  |
| 5     123   4     | 9     123   7     | 6     138   238   |
| 123   8     7     | 6     5     123   | 4     139   239   |
+-------------------+-------------------+-------------------+
| 123   4     9     | 1238  1236  5     | 1237  1378  23678 |
| 7     123   6     | 4     123   1238  | 12359 13589 23589 |
| 8     5     123   | 7     9     1236  | 123   4     236   |
+-------------------+-------------------+-------------------+
| 134   136   138   | 358   3467  3689  | 3579  2     34579 |
| 234   236   238   | 358   3467  3689  | 3579  3579  1     |
| 9     7     5     | 123   1234  123   | 8     6     34    |
+-------------------+-------------------+-------------------+

So in box 5 ... we cant immediatly insert either the 6 or 8 ... so that must be trickier

unlike the single guardians which are straight forward as in morphed #38
Code: Select all
...4.6.8...718......8.72.41...81.4.7.8...412....2...68.74...612.3.......9........#38

Code: Select all
+-------------------+-------------------+-------------------+
| 7     8     123   | 123   6     4     | 2359  1359  12359 |
| 5     123   6     | 8     123   9     | 234   134   7     |
| 123   4     9     | 7     5     123   | 236   136   8     |
+-------------------+-------------------+-------------------+
| 123   6     8     | 123   1237  5     | 23479 1349  1239  |
| 4     123   7     | 9     123   8     | 2356  1356  12356 |
| 9     5     123   | 6     4     1237  | 237   8     123   |
+-------------------+-------------------+-------------------+
| 6     9     5     | 123   1238  123   | 38    7     4     |
| 138   137   134   | 45    3789  367   | 35689 2     3569  |
| 238   237   234   | 45    3789  367   | 1     3569  3569  |
+-------------------+-------------------+-------------------+
single guardian, 7 cant go in r4c5 and has to go in r6c6

Edit...Which is a bit odd because the twin puzzles ought to have the same solving path .... hmmmm
Code: Select all
1...5678....18..366..7.31.5.1..37.58...5..31....8.16.7.4.........2......86....573 #10#   1200 FNBP C33/M2.72.91 # ED=11.7/11.7/2.6

1...5678.....8..3.6..7..1...1..37.58...5...1....8.16.7.4.........2......86....573#42
1...5678....18..3.6..7......1..37.58...5...1....8.16.7.4.........2......86....573#43
1...5678.....8....6..7.31...1..37.58...5..31......16.7.4.........2......86....573#44 ***
1...5678....18....6..7.3....1..37.58...5..31......16.7.4.........2......86....573#45 ***
1...5678.....8..3.6..7.31...1..37.58...5...1......16.7.4.........2......86....573#46 ***
1...5678....18..3.6..7.3....1..37.58...5...1......16.7.4.........2......86....573#47 ***
1...5678.....8..3.6..7.31...1..37.58...5..31....8.16.7.4.........2......86....57.#48
1...5678....18..3.6..7.3....1..37.58...5..31....8.16.7.4.........2......86....57.#49

So not all the minimal puzzles fromn the original expanded puzzle [ which has 9 other twins] has the same solving path / number of guardians...
coloin
 
Posts: 2494
Joined: 05 May 2005
Location: Devon

Postby denis_berthier » Tue Aug 20, 2024 10:49 am

coloin wrote:#45
Code: Select all
+-------------------+-------------------+-------------------+
| 6     9     123   | 123   8     4     | 12357 1357  2357  |
| 5     123   4     | 9     123   7     | 6     138   238   |
| 123   8     7     | 6     5     123   | 4     139   239   |
+-------------------+-------------------+-------------------+
| 123   4     9     | 1238  1236  5     | 1237  1378  23678 |
| 7     123   6     | 4     123   1238  | 12359 13589 23589 |
| 8     5     123   | 7     9     1236  | 123   4     236   |
+-------------------+-------------------+-------------------+
| 134   136   138   | 358   3467  3689  | 3579  2     34579 |
| 234   236   238   | 358   3467  3689  | 3579  3579  1     |
| 9     7     5     | 123   1234  123   | 8     6     34    |
+-------------------+-------------------+-------------------+

So in box 5 ... we cant immediatly insert either the 6 or 8 ... so that must be trickier

Just a little bit trickier:
Code: Select all
(solve-sukaku-grid
+-------------------+-------------------+-------------------+
! 6     9     123   ! 123   8     4     ! 12357 1357  2357  !
! 5     123   4     ! 9     123   7     ! 6     138   238   !
! 123   8     7     ! 6     5     123   ! 4     139   239   !
+-------------------+-------------------+-------------------+
! 123   4     9     ! 1238  1236  5     ! 1237  1378  23678 !
! 7     123   6     ! 4     123   1238  ! 12359 13589 23589 !
! 8     5     123   ! 7     9     1236  ! 123   4     236   !
+-------------------+-------------------+-------------------+
! 134   136   138   ! 358   3467  3689  ! 3579  2     34579 !
! 234   236   238   ! 358   3467  3689  ! 3579  3579  1     !
! 9     7     5     ! 123   1234  123   ! 8     6     34    !
+-------------------+-------------------+-------------------+)

Trid-OR2-relation for digits 1, 2 and 3 in blocks:
        b1, with cells (marked #): r1c3, r2c2, r3c1
        b2, with cells (marked #): r1c4, r2c5, r3c6
        b4, with cells (marked #): r6c3, r5c2, r4c1
        b5, with cells (marked #): r6c6, r5c5, r4c4
with 2 guardians (in cells marked @): n8r4c4 n6r6c6

   +----------------------+----------------------+----------------------+
   ! 6      9      123#   ! 123#   8      4      ! 12357  1357   2357   !
   ! 5      123#   4      ! 9      123#   7      ! 6      138    238    !
   ! 123#   8      7      ! 6      5      123#   ! 4      139    239    !
   +----------------------+----------------------+----------------------+
   ! 123#   4      9      ! 1238#@ 1236   5      ! 1237   1378   23678  !
   ! 7      123#   6      ! 4      123#   1238   ! 12359  13589  23589  !
   ! 8      5      123#   ! 7      9      1236#@ ! 123    4      236    !
   +----------------------+----------------------+----------------------+
   ! 134    136    138    ! 358    3467   3689   ! 3579   2      34579  !
   ! 234    236    238    ! 358    3467   3689   ! 3579   3579   1      !
   ! 9      7      5      ! 123    1234   123    ! 8      6      34     !
   +----------------------+----------------------+----------------------+

Trid-OR2-whip[3]: OR2{{n6r6c6 | n8r4c4}} - b8n8{r7c4 r8c6} - c6n9{r8 .} ==> r7c6≠6
Trid-OR2-whip[3]: OR2{{n6r6c6 | n8r4c4}} - b8n8{r7c4 r7c6} - c6n9{r7 .} ==> r8c6≠6
singles ==> r6c6=6, r4c9=6
hidden-pairs-in-a-column: c5{n6 n7}{r7 r8} ==> r8c5≠4, r8c5≠3, r7c5≠4, r7c5≠3
singles
whip[2]: c2n2{r5 r2} - c5n2{r2 .} ==> r5c6≠2
x-wing-in-rows: n2{r2 r5}{c2 c5} ==> r4c5≠2
whip[3]: c5n1{r5 r2} - b2n2{r2c5 r3c6} - r9c6{n2 .} ==> r5c6≠1
hidden-pairs-in-a-column: c6{n1 n2}{r3 r9} ==> r3c6≠3
whip[3]: c8n1{r2 r3} - r3n3{c8 c1} - b1n2{r3c1 .} ==> r2c2≠1
whip[3]: c3n3{r6 r1} - r2c2{n3 n2} - b4n2{r5c2 .} ==> r4c1≠3
whip[2]: r1n3{c4 c3} - c1n3{r3 .} ==> r7c4≠3
naked-single ==> r7c4=5
hidden-single-in-a-block ==> r8c7=5
whip[3]: c5n3{r5 r2} - r1n3{c4 c3} - b4n3{r6c3 .} ==> r5c6≠3
stte


coloin wrote:unlike the single guardians which are straight forward as in morphed #38
Code: Select all
...4.6.8...718......8.72.41...81.4.7.8...412....2...68.74...612.3.......9........#38

Code: Select all
+-------------------+-------------------+-------------------+
| 7     8     123   | 123   6     4     | 2359  1359  12359 |
| 5     123   6     | 8     123   9     | 234   134   7     |
| 123   4     9     | 7     5     123   | 236   136   8     |
+-------------------+-------------------+-------------------+
| 123   6     8     | 123   1237  5     | 23479 1349  1239  |
| 4     123   7     | 9     123   8     | 2356  1356  12356 |
| 9     5     123   | 6     4     1237  | 237   8     123   |
+-------------------+-------------------+-------------------+
| 6     9     5     | 123   1238  123   | 38    7     4     |
| 138   137   134   | 45    3789  367   | 35689 2     3569  |
| 238   237   234   | 45    3789  367   | 1     3569  3569  |
+-------------------+-------------------+-------------------+
single guardian, 7 cant go in r4c5 and has to go in r6c6


Right, but don't believe this is true in general. A puzzle with a single guardian can be much harder than one with many guardians (using ORk-chains).

coloin wrote:So not all the minimal puzzles fromn the original expanded puzzle [ which has 9 other twins] has the same solving path / number of guardians...

If you start from a puzzle P0, expand it into P1, and then search for all the minimals of P1, then some of them may be harder than P0. There's nothing odd here.
In the same way, some of them may have a different number of guardians.
.
denis_berthier
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Location: Paris

Re:

Postby coloin » Tue Aug 20, 2024 11:46 am

Thanks for sorting that out ... it seems that those puzzles #44-48-dont expand as far .....
denis_berthier wrote:Right, but don't believe this is true in general. A puzzle with a single guardian can be much harder than one with many guardians (using ORk-chains)..

Is that with ? or without ? the single guardian inserted ?

In the case of the #37 case with the 7 inserted at r6c6 the difficulty is reduced somewhat
Code: Select all
+---+---+---+
|78.|.64|...|
|5.6|8.9|..7|
|.49|75.|..8|
+---+---+---+
|.68|..5|...|
|4.7|9.8|...|
|95.|647|.8.|
+---+---+---+
|695|...|.74|
|...|...|.2.|
|...|...|1..|
+---+---+---+  SE=4.2 and BxB is 0

Searching for more double guardians , if thats possible, might be a step for Paquita !!!
coloin
 
Posts: 2494
Joined: 05 May 2005
Location: Devon

Re: Re:

Postby denis_berthier » Tue Aug 20, 2024 12:50 pm

coloin wrote:Thanks for sorting that out ... it seems that those puzzles #44-48-dont expand as far .....
denis_berthier wrote:Right, but don't believe this is true in general. A puzzle with a single guardian can be much harder than one with many guardians (using ORk-chains)..

Is that with ? or without ? the single guardian inserted ?

I mean using the tridagon pattern in both cases, i.e. inserting the single guardian in one case vs using ORk-chains in the multi-guardian case as shown in my previous post.
You can have very detailed classification results about the complete mith's TE3 collection in [UMNR] and on GitHub: https://github.com/denis-berthier/Classifications-of-TE3-Sudokus
.
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Posts: 4209
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Location: Paris

Re: The BxB classification of T&E(2) puzzles

Postby Paquita » Tue Aug 20, 2024 5:38 pm

Another list of B10B

Code: Select all
....5.78...718.2.6...2...1.2.1865....3.......9...........5.8..1....7182....62..5.
.....678...718.......2...152.1865....3.......9...........5.86.1....7182....62..5.
......78...718...6...2...152.1865....3.......9...........5.8..1....7182....62..5.
..3...7...571...36.8....5.1.76...8..3.8....6551....3.7.....4...8653.7.......2....
..3...78..571...36......5.1.76...8..3.8....6551....3.......4...8653.7.......2....
1.3.5.78..57.8..6368..7.5......6..1.....34......9.....3.5...8.687....1...6......5
1.3.5.78..57.8..6368..7.5......6..1.....34......9.....3.5...8.68.....1...6.....75
1.3.5.78..57.8..6368..7.5......6..1.....34......9.....3.5...8.68.....13..6.....7.
12..5.78..57.8.2.6..8.7..152.5...8.1.76....52.1.....7......4......92.....6..1....
12..5.78..57.8.2.6..8.7..152.5...8.1.76....5.81.....7......4......92.....6..1....
.2.45..8..5..89....9.2.35.4.8......3..1......64...........943.2...5.894.....2...8
.2.45..8..5..892...9...35.4.8......3..1......64...........943.2...5.894.....2...8
.2.45..8..5..89....9.2.3..4.8......3..1......64...........9.3.2...5.894.....2..58
.2.45..8..5..892...9...3..4.8......3..1......64...........9.3.2...5.894.....2..58
....5678...718.......2...152.1568....3.......9..............6.1....7182....62..5.
.....678...718.......2...152.1568....3.......9.............56.1....7182....62..5.
....5.78...718.2.6...2...1.2.1568....3.......9................1....7182....62..5.
....5.78...718...6...2...152.1568....3.......9................1....7182....62..5.
......78...718...6...2...152.1568....3.......9.............5..1....7182....62..5.
....5678...718.2.....2...1.2.1865....3.......9.............86.15...7182....62..5.
....5678...718.2.....2...1.2.1865....3.......9...........5.8..1.6..7182.....2..5.
....5678...718.2.....2...1.2.1865....3.......9.............8..156..7.82.....2..5.
1.3.5.78...7.8..6368..7.5......6..1.5...34......9.....3.5...8.687....13..6.......
1.3.5.78..5..8..6368..7.5......6..1.....34...7..9.....3.5...8.68.....13..6.......
1.3.5.78.....8..63.8..7.5......6..1.5...34...7..9.....3.5...8.68.....13..6.......
....5678...718.2.....2...1.2.1568....3.......9..............6.15...7182....62..5.
....5678...718.2.....2...1.2.1568....3.......9................156..7.82....62..5.
....5678...718.2.....2...1.2.1568....3.......9................1.6..7182....62..5.
....5678...718.2.....2...1.2.1568....3.......9..............6.156..7.82.....2..5.
....5678...718.2.....2...1.2.1568....3.......9..............6.1.6..7182.....2..5.
....5678...718.2.....2...1.2.1568....3.......9...........8....156..7.82.....2..5.
....5678...718.2.....2...1.2.1568....3.......9...........8....1.6..7182.....2..5.
.2.4...89.5..8.12..9....5.4.4..1....61......8..7.........8.549....94...2....218.5
.2.4...89.5..8.1...9...25.4.4..1....61......8..7.........8.549....94...2....218.5
.2.4...89.5..8.12..9....5.4.4..18...61......8..7...........5.9....94...2....218.5
.2.4...89.5..8.1...9...25.4.4..18...61......8..7...........5.9....94...2....218.5
1....6.8.4...8.2..6...27.4129.7.......5......8......72....718.4...8..16.....4..27
1....678.4...8....6...27.4129.7.......5......8......72....718.4...8..16.....4..27
1....6.8.4..18.2..6...27.4.29.7.......5......8......72....718.4...8..16.....4..27
1....678.4..18....6...27.4.29.7.......5......8......72....718.4...8..16.....4..27
1....6.8.4...8.2..6...27.4129.7.......5......8......27....718.4...8..16.....4..72
1....6.8.4..18.2..6...27.4.29.7.......5......8......27....718.4...8..16.....4..72
1....678.4...8....6...27.4129.7.......5......8......27....718.4...8..16.....4...2
1....678.4...8....6...27.4129.7.......5......8......2.....718.4...8..16.....4..72
1....678.4..18....6...27.4.29.7.......5......8......27....718.4...8..16.....4...2
1....678.4..18....6...27.4.29.7.......5......8......2.....718.4...8..16.....4..72
1....6.8.4...8.2..6...27.4129.7.......5......8......72....418.7...8..16.....7..24
1....678.4...8....6...27.4129.7.......5......8......72....418.7...8..16.....7..24
1....6.8.4..18.2..6...27.4.29.7.......5......8......72....418.7...8..16.....7..24
1....678.4..18....6...27.4.29.7.......5......8......72....418.7...8..16.....7..24
.23.5....45...9...6.92.3...2.6...4..........7.....261.3..69.5....53.49...4..253..
..3.5....45...9...6.92.3...2.6...4..........7.....261.3.269.5....53.49...4..253..
.23.5....45...9...6.92.3...2.6...4..........7.....261.3..6..5....53.49..94..253..
..3.5....45...9...6.92.3...2.6...4..........7.....261.3.26..5....53.49..94..253..
1.3..67.9.57..9..696...715..9....56.6.5....17.71...9.3...8......1..43........53..
1.3..67.9.57..9..696...715..9....56.6.......7.71...9.3...8......1..43........53.1
.2..56...45......6..9.......3..1765..7.6.21.3.1..3..27....65.7....3.1..2...27.36.
.2..56...45......6..9.......3..1765..7...21.3.1.53..27....65.7....3.1..2...27.36.
..3...7.9.571...3696.3..51..39....6151......77.6.1.9......4....67593.........2...
1.....7.9.57....3696.3..51..39....6151......77.6.1.9......4....67593.........2...
1.....7.9.571...3696.3..5...39....6151......77.6.1.9......4....67593.........2...
.2..56...45......6..9.......3..1765..7.6.21.3.1..3..27....75.6....3.1..2...26.37.
.2..56...45......6..9.......3..1765..7...21.3.1.53..27....75.6....3.1..2...26.37.
1.3..67...57..9...69...715..6....59..71...6.39.5....17...8......1..43........53..
1.3..67...57..9...69...715..6....59..71...6.39.......7...8......1..43........53.1
1..4.6.8.4..18.2..6...27.1.29.7.......5......8......72....748.1...8..46.....1..27
1..4.678.4..18....6...27.1.29.7.......5......8......72....748.1...8..46.....1..27
1..4.6.8.4..18.2..6...27.1.29.7.......5......8......27....748.1...8..46.....1..72
1..4.678.4..18....6...27.1.29.7.......5......8......27....748.1...8..46.....1...2
1..4.678.4..18....6...27.1.29.7.......5......8......2.....748.1...8..46.....1..72
1..4.6.8.4..18.2..6...27.1.29.7.......5......8......72....148.7...8..46.....7..21
1..4.678.4..18....6...27.1.29.7.......5......8......72....148.7...8..46.....7..21
...45.7.....1.9..3....7351.2.........48.....5.3..45....7..9..51.9.31.4.7.1....39.
...45.7.9...1.9..3....7351.2.........48.....5.3..45....7..9..51.9.31.4.7.1....3..
1...567...57.8....86.3..1.....5638.7........2.......4.3.187....5..6.1....8..35..1
1.3.567...57.8....86....1.....5638.7........2.......4.3.187....5..6.1....8..35..1
1...567...57.8....86.3..1.....5638.7........2.......4.3.187....5....1....86.35..1
1.3.567...57.8....86....1.....5638.7........2.......4.3.187....5....1....86.35..1
...45.7.9...1.9..3....7351.2.........48.....5.3..45....9..1..5..7.39.4...1...73..
...45.7.9...1.9..3....7351.2.........48.....5.3..45....9.....5..7.39.4.1.1...73..
...45.7.9...1.9..3....7351.2.........48.....5.3..45....9..1..57.7.39.4...1....3..
...45.7.9...1.9..3....7351.2.........48.....5.3..45....9.....57.7.39.4.1.1....3..
...45.7.....1.9..3....7351.2.........48.....5.3..45....9..1..5..7.3..4...1...739.
...45.7.....1.9..3....7351.2.........48.....5.3..45....9.....5..7.3..4.1.1...739.
...45.7.....1.9..3....7351.2.........48.....5.3..45....9..1..57.7.3..4...1....39.
...45.7.....1.9..3....7351.2.........48.....5.3..45....9.....57.7.3..4.1.1....39.
12.....89.5....2.68.6...51......4....1.93.......5..19..812...6.5..6.....9..8...25
12.....89.5....2.68.6...51......4....1.93.......5..19..812.....5..6.....96.8...25
12......9.5....2.68.6...51......4....1.93.......5..19...12...6.5..6..8..9..8...25
12......9.5....2.68.6...51......4....1.93.......5..19...12.....5..6..8..96.8...25
1......89.5....2.68.6...51......4....1.93.......5..19..812...6.5.26.....9..8....5
1......89.5....2.68.6...51......4....1.93.......5..19..812.....5.26.....96.8....5
1.......9.5....2.68.6...51......4....1.93.......5..19...12...6.5.26..8..9..8....5
1.......9.5....2.68.6...51......4....1.93.......5..19...12.....5.26..8..96.8....5
......7.....189.36........5.4.89..6.8.63.....93...1.4.3..91...4.946.3....1..48...
......7.....189.36........5.4189..6.8.63.....93.....4.3..91...4.946.3....1..48...
......7.....189.36........5.4.89..6.8.63.....93...1.4.3.891...4.946.3....1..4....
......7.....189.36........5.4189..6.8.63.....93.....4.3.891...4.946.3....1..4....
.2.4.678....1..2.6.8.....14.....8.7...87..6.1...21.84.3..........5.......12647...
.2...678....1..2.6.8.....14.....8.7...87.46.1...21.84.3..........5.......12647...
.2.4.6.8....1..2.6.8..7..14.....8.7...8...6.1...21.84.3..........5.......12647...
.2...6.8....1..2.6.8..7..14.....8.7...8..46.1...21.84.3..........5.......12647...
.2.4..78....1..2.6.8.....14....68.7...87....1...21.84.3..........5.......12647...
.2....78....1..2.6.8.....14....68.7...87.4..1...21.84.3..........5.......12647...
.2.4...8....1..2.6.8..7..14....68.7...8.....1...21.84.3..........5.......12647...
.2.....8....1..2.6.8..7..14....68.7...8..4..1...21.84.3..........5.......12647...
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Re: The BxB classification of T&E(2) puzzles

Postby denis_berthier » Tue Aug 20, 2024 6:15 pm

.`
all of them have a tridagon
44 are solved with the basic tridagon rule and W2+S3
.
denis_berthier
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Re: The BxB classification of T&E(2) puzzles

Postby Paquita » Wed Aug 21, 2024 7:42 pm

Some more B10B

Code: Select all
1..4.678.4..18...66...27.14...8..6......148.7....7..21..5......79.......8.......2
1..4.678.4..18...66...27.14...8...4.....148.7...6...21..5......79.......8.......2
1..4.678.4..18...66...27.14...8...4.....748.1...61..2...5......79.......8.......2
1..4.678.4..18...66...27.14...8..64.....748.1....1..2...5......79.......8.......2
1..4.678.4..18...66...27.14...8..6......748.1....1..27..5......79.......8.......2
1....678.4...8...66...27.41...8..6......418.7....7..24..5......79.......8.......2
1....678.4...8...66...27.41...8...1.....418.7...6...24..5......79.......8.......2
1....678.4...8...66...27.41...8..6......718.4....4..27..5......79.......8.......2
1....678.4...8...66...27.41...8..61.....718.4....4..2...5......79.......8.......2
1....678.4...8...66...27.41...8...1.....718.4...64..2...5......79.......8.......2
12....7.9.57...23...9....15...6.........75192.....4....12.3.95.7.5.......3.....27
12....7.9..7...23...9....15...6.........75192.....4....12.3..5.7.5......93.....27
12....7.9.57...23...9.....5...6.........75192.....4.....2.3.95.7.5.....1.3.....27
12....7.9..7...23...9.....5...6.........75192.....4.....2.3..5.7.5.....193.....27
....567...5.18....68.3.7..........4.361...8.5........251..3....7.8.6.....368.1...
....567...5.18....68.3.7..........4.361...8.5........251..3....7.8.65....368.....
..3.567...5.18....68...7..........4.361...8.5........251..3....7.8.65....368.....
1...567...5..8....68.3.7..........4.361...8.5........251..3....7.8.6.....368.1...
..3.567...5.1.9...69..7............4361...95........2.51...3...7.9.65....369.....
1....67...5...9...69.37............4361...95........2.51...3...7.9.65....3691....
.....67...5.1.9...69.37............4361...95........2.51...3...7.9.65....369.....
....56.89...1.92.6....2.15...561......9..8..2..1.926.53.8........2....68.7.......
.....6.89...1.92.6....2.15...561......95.8..2..1.926..3.8........2....68.7.......
........945....2........51.2....58..3.48.26.....64.3..5..3.8....362.....8.2.64...
........945....2........51.2...358....48.26.....64.3..5....8....362.....8.2.64...
1.3.56..9...1.9..66..73..........8..715...9.3.......2.3.9.65...57.3.1....6..7....
..3.56..9...1.9..66..73..........8..715...9.3.......2.3.9.65...57.3......61.7....
12..567...5718.2..6.87.............3.......9....5618.2.7582....81.........6..7...
12..567...57.8.2..6.87.............3.......9....5618.2.7582....8..........6.17...
........945....2........51.28...56..3.4..28...6..4.3..5..3.8....362.....8.2.64...
........945....2........51.28..356....4..28...6..4.3..5....8....362.....8.2.64...
....56.89...1.92.6....2.15...59...1...6..29.5..1..8.623.8........2....98.7.......
.....6.89...1.92.6....2.15...59...1...6..29....15.8.623.8........2....98.7.......
.2....7.9.5.7.9.23.9....54..7.3.4...83.........1..........752.....2.39.4...94..5.
.2.4..7.9.5.7.9.23.9....54..7.3.4...83.........1..........752.....2.39.4...9...5.
.2....7.9.5.7.9..3.9...254..7.3.4...83.........1..........752.....2.39.4...94..5.
.2.4..7.9.5.7.9..3.9...254..7.3.4...83.........1..........752.....2.39.4...9...5.
1..4.6...4..18.2.6....27..1....7.......81.4.2.1.6.2.78.3.........5.......4....867
1..4.6...4..18.2......27..1....7.6.....81.4.2.1.6.2.78.3.........5.......4....867
...4..78.4..18..366.....1...6.731.....5.......9........4.3.78.1.......7....86..43
...4..78.4...8..366.....1...6.731.....5.......9........4.3.78.1....1..7....86..43
....56.89...1.92.6....2.15...5.1......9..8..2..1.926.53.........78.6...........68
....56.89...1.92.6....2.15...5.1......95.8..2..1.926..3.........78.6...........68
....56.89...1.92.6....2.15...5....1...6..29.5..1..8.623.........78.9...........98
....56.89...1.92.6....2.15...5....1...6..29....15.8.623.........78.9...........98
...4..78.4..18..366...371...6.371.....5.......9........4....8.1.......7....86..43
...4..78.4...8..366...371...6.371.....5.......9........4....8.1....1..7....86..43
12..567...5718.2..6.87.............3.......9....561.2..7582....81.....7...6......
12..567...57.8.2..6.87.............3.......9....561.2..7582....81.....7...6.1....
.2....7.9.5.7.9.23.9....54..31...4..8...........3.4.......752.....2.39.4...94..57
.2....7.9.5.7.9..3.9...254..31...4..8...........3.4.......752.....2.39.4...94..57
.2.4..7.9.5.7.9.23.9....5...31...4..8...........3.4.......752.....2.39.4...9...57
.2.4..7.9.5.7.9..3.9...25...31...4..8...........3.4.......752.....2.39.4...9...57
.23.5..8.45..89.3.8.9......2.8.45.....593....93.2.8.........6....2....47....24.9.
..3.5..8.45..89.3.8.9..2...2.8.45.....593....93...8.........6....2....47....24.9.
..3.5..8.45..89.3.8.9..2...2.8.45.....593....93.2.8.........6....2....47.....4.9.
...45..8..5..8923..9...2..4.8..43....36...4..7...........29.8......3594....8.4.52
...4...8..5..8923..9...25.4.8..43....36...4..7...........29.8......3594....8.4.52
.2.45..89.5..89.3..9...2..4.8..43....36......7...........29.8......35.4....8.4.52
.2.45..8..5..89.3..9...2..4.8..43....36......7...........29.8......3594....8.4.52
.2.45..8..5..89.3..9...2..4.8..43....36...4..7...........29.8......3594......4.52
.2.4...89.5..89.3..9...25.4.8..43....36......7...........29.8......35.4....8.4.52
.2.4...8..5..89.3..9...25.4.8..43....36......7...........29.8......3594....8.4.52
.2.4...8..5..89.3..9...25.4.8..43....36...4..7...........29.8......3594......4.52
....56.89...1.92.6....2.15...59....1..6.18.25.....296.3.8.9......2....98.7.......
....56.89...1.92.6....2.15...596...1..6.18.25.....29..3.8.9......2....98.7.......
.....6.89...1.92.6....2.15...59....1..6..8.25..15.296.3.8........2....98.7.......
....56.89...1.92.6....2.15...59....1..6..8.25..1..296.3.8........2....98.7.......
....56.89...1.9..6....2.15...59....1..6..8.25..1..296.3.8.9......2....98.7.......
.....6.89...1.92.6....2.15...596...1..6..8.25..15.29..3.8........2....98.7.......
....56.89...1.92.6....2.15...596...1..6..8.25..1..29..3.8........2....98.7.......
....56.89...1.9..6....2.15...596...1..6..8.25..1..29..3.8.9......2....98.7.......
12..56..9.571.9...6..27....29.6.1....7..25.6...67......15....92......3.........4.
12..5...9.571.9..66..27....29.6.1....7..25.6...67......15....92......3.........4.
.2..56..9.571.9...6..27....29.6.1....71.25.6...67......15....92......3.........4.
.2..5...9.571.9..66..27....29.6.1....71.25.6...67......15....92......3.........4.
12..56..9.571.9...6..27....29.6.1.......2..6.5.67.....715....92......3.........4.
.2..56..9.571.9...6..27....29.6.1.....1.2..6.5.67.....715....92......3.........4.
12..5...9.571.9..66..27....29.6.1.......2....5.67.....715....92......3.........4.
12..5...9.571.9..66..27....29.6.1.......25.....67.....715....92......3.........4.
12..56..9.571.9...6...7....29.6.1.......25.6...67.....715....92......3.........4.
12..5...9.571.9..66...7....29.6.1.......25.6...67.....715....92......3.........4.
.2..5...9.571.9..66..27....29.6.1.....1.2....5.67.....715....92......3.........4.
.2..5...9.571.9..66..27....29.6.1.....1.25.....67.....715....92......3.........4.
.2..56..9.571.9...6...7....29.6.1.....1.25.6...67.....715....92......3.........4.
.2..5...9.571.9..66...7....29.6.1.....1.25.6...67.....715....92......3.........4.
1.345....45..89....983........5..1.7..1...8.........2.3..9.54...85.4....9.481.3..
1.345....4...89....983........5..1.75.1...8.........2.3..9.54...85.4....9.481.3..
1.345....45..89....983........5..1.75.1...8.........2.3..9.54...8..4....9.481.3..
1.345....45..89....983........5..1.7..1...8.........2.3..9.54...85.4.9....481.3..
1.345....45..89....983........5..1.7..1...8.........2....9.54...85..3...9.481.3..
1.345....4...89....983........5..1.75.1...8.........2....9.54...85..3...9.481.3..
1.345....45..89....983........5..1.75.1...8.........2....9.54...8...3...9.481.3..
1.345....45..89....983........5..1.7..1...8.........2....9.54...85..39....481.3..
1.345....4...89....983...........1.75.1...8.........2.3..9.54...85.4.9....481.3..
1.345....45..89....983...........1.75.1...8.........2.3..9.54...8..4.9....481.3..
1.345....4...89....983...........1.75.1...8.........2....9.54...85..39....481.3..
1.345....45..89....983...........1.75.1...8.........2....9.54...8...39....481.3..
..345..89.....92....83.2..5....9.84.8..5.4.92...82...33.2....54.1.......7........
..345...9....892....83.2..5....9.84.8..5.4.92...82...33.2....54.1.......7........
..345..8......92....83.2..5....9.84....5.4.92...82...33.2...954.1.......7........
..345........892....83.2..5....9.84....5.4.92...82...33.2...954.1.......7........
.2..56...45......6..8.......7..1.6.3...6...2..1..32.57....75.61...3.1..2...26.37.
.2..56...45......6..8.......7....6.3...6..12..1..32.57....75.61...3.1..2...26.37.
.2..56...45.........8.......7..1.6.3.3.6...2..1...2.57....75.61...3.1..2...26.37.
.2..56...45......6..8.......7..1.6.3.3.6...2..1...2.57....75.61...3.1..2....6.37.
.2..56...45......6..8.......7....6.3.3.6..12..1...2.57....75.61...3.1..2....6.37.
.2..56...45.........8.......7....6.3.3.6..12..1...2.57....75.6....3.1..2...26.37.
....56.89...1.92.6....2.15...691...5..5.68.21.....29..3.8.9......2....98.7.......
....56.89...1.92.6....2.15...691......5.68.21...5.29..3.8.9......2....98.7.......
....56.89...1.92.6....2.15...691...5..5.68.2...1..29..3.8........2....98.7.......
....56.89...1.9..6....2.15...691...5..5.68.2...1..29..3.8.9......2....98.7.......
....56.89...1.9..6....2.15...691......5.68.2...15.29..3.8.9......2....98.7.......
.....6.89...1.92.6....2.15...691......5.68.2...15.29..3.8........2....98.7.......
....56.89...1.926.....2.1.5..691..5...5.68.12.....29..3.8.9......2.....8.7.......
....56.8....1.926.....2.1.5..691..5...5.68.12.....29..3.8.9......2....98.7.......
....56.89...1.926.....2.1.5..691......5.68.12...5.29..3.8.9......2.....8.7.......
....56.8....1.926.....2.1.5..691......5.68.12...5.29..3.8.9......2....98.7.......
....56.8....1.926.....2.1.5..691..5...5.68..2..1..29..3.8........2....98.7.......
.....6.89...1.926.....2.1.5..691......5.68..2..15.29..3.8.9......2.....8.7.......
....56.89...1.9.6.....2.1.5..691..5...5.68..2..1..29..3.8.9......2.....8.7.......
....56.8....1.9.6.....2.1.5..691..5...5.68..2..1..29..3.8.9......2....98.7.......
....56.89...1.9.6.....2.1.5..691......5.68..2..15.29..3.8.9......2.....8.7.......
....56.8....1.9.6.....2.1.5..691......5.68..2..15.29..3.8.9......2....98.7.......
.....6.8....1.926.....2.1.5..691......5.68..2..15.29..3.8........2....98.7.......
..345.7.....7.913...9..3..4.37...4158.........6...........9.5.1....7439..9.1.5.47
..345.7.....7.913...9..3.54.37...4158.........6...........9...1....7439..9.1.5.47
..345.7.....7.9.3...9.13..4.3....4158.........6...........9.5.1....7439..9.1.5.47
..345.7.....7.9.3...9.13.54.3....4158.........6...........9...1....7439..9.1.5.47
..345.7.9...7.913......3..4.37...4158.........6...........9.5.1....743...9.1.5.47
..345.7.9...7..13...9..3..4.37...4158.........6...........9.5.1....743...9.1.5.47
..345.7.....7.9.3...9.13..4.37...4158.........6...........9.5.1....7439..9.1...47
..345.7.9...7.913......3.54.37...4158.........6...........9...1....743...9.1.5.47
..345.7.9...7.9.3.....13.54.37...4158.........6...........9...1....743...9.1.5.47
..345.7.9...7..13...9..3.54.37...4158.........6...........9...1....743...9.1.5.47
..345.7.9...7...3...9.13..4.3....4158.........6...........9.5.1....743...9.1.5.47
..345.7.9...7...3...9.13.54.3....4158.........6...........9...1....743...9.1.5.47
..345.7.9...7.9.3.....13..4.37...4158.........6...........9.5.1....743...9.1...47
..345.7.9...7...3...9.13..4.37...4158.........6...........9.5.1....743...9.1...47
..345........892....83.2..4...9..4.33....5.92...23.85..1.......7........8.2...945
..345...9....892....83.2..4...9..4.33....5..2...23.85..1.......7........8.2...945
..34.........892....83.25.4...9....33...45.92...23.85..1.......7........8.2...945
..34.........892....83.25.4...9..4.33....5.92...23.85..1.......7........8.2...945
..34....9....892....83.25.4...9....33...45..2...23.85..1.......7........8.2...945
..34....9....892....83.25.4...9..4.33....5..2...23.85..1.......7........8.2...945
..345........892....83.2..4...9....33...45.92...23.85..1.......7........8.....945
..345...9....892....83.2..4...9....33...45..2...23.85..1.......7........8.....945
..345........8923...8..2..4...9..4..3....5.92...23.85..1.......7........8.2...945
..345...9....8923...8..2..4...9..4..3....5..2...23.85..1.......7........8.2...945
...45........8923...83.2..4...9.....3...45.92...23.85..1.......7........8.2...945
...45........8923...83.2..4...9..4..3....5.92...23.85..1.......7........8.2...945
...45...9....8923...83.2..4...9.....3...45..2...23.85..1.......7........8.2...945
...45...9....8923...83.2..4...9..4..3....5..2...23.85..1.......7........8.2...945
..34.........8923...8..25.4...9.....3...45.92...23.85..1.......7........8.2...945
..34.........8923...8..25.4...9..4..3....5.92...23.85..1.......7........8.2...945
..34....9....8923...8..25.4...9.....3...45..2...23.85..1.......7........8.2...945
..34....9....8923...8..25.4...9..4..3....5..2...23.85..1.......7........8.2...945
...4.........8923...83.25.4...9.....3...45.92...23.85..1.......7........8.2...945
...4.........8923...83.25.4...9..4..3....5.92...23.85..1.......7........8.2...945
...4....9....8923...83.25.4...9.....3...45..2...23.85..1.......7........8.2...945
...4....9....8923...83.25.4...9..4..3....5..2...23.85..1.......7........8.2...945
..345........8923...8..2..4...9.....3...45.92...23.85..1.......7........8.....945
..345...9....8923...8..2..4...9.....3...45..2...23.85..1.......7........8.....945
..3..678...71...3...6.3.1.4....64.17...8.364....71.3...98...4..5............48...
..34.678...71...3...6.3.1......64.17...8.364....71.3...98...4..5............48...
..3..6.8...71...3...6.371.4....64.17...8.364....71.3...98...4..5............48...
..34.6.8...71...3...6.371......64.17...8.364....71.3...98...4..5............48...
..3..678...718..3...6.3.1.4....64.17...8..64....71.3...98...4..5..........1.4....
..34.678...718..3...6.3.1......64.17...8..64....71.3...98...4..5..........1.4....
..3..678...71...3...6.3.1.4....64.17...8..64....71.3...98...4..5..........1.48...
..34.678...71...3...6.3.1......64.17...8..64....71.3...98...4..5..........1.48...
..3..6.8...718..3...6.371.4....64.17...8..64....71.3...98...4..5..........1.4....
..34.6.8...718..3...6.371......64.17...8..64....71.3...98...4..5..........1.4....
..3..6.8...71...3...6.371.4....64.17...8..64....71.3...98...4..5..........1.48...
..34.6.8...71...3...6.371......64.17...8..64....71.3...98...4..5..........1.48...
..3...78...71....6..6.3.1.4....64.17...8.364....71.3...98...4..5............48...
..34..78...71....6..6.3.1......64.17...8.364....71.3...98...4..5............48...
..3....8...71....6..6.371.4....64.17...8.364....71.3...98...4..5............48...
..34...8...71....6..6.371......64.17...8.364....71.3...98...4..5............48...
..3...78...718...6..6.3.1.4....64.17...8...4....71.3...98...4..5..........1.4....
..34..78...718...6..6.3.1......64.17...8...4....71.3...98...4..5..........1.4....
..3...78...71....6..6.3.1.4....64.17...8...4....71.3...98...4..5..........1.48...
..34..78...71....6..6.3.1......64.17...8...4....71.3...98...4..5..........1.48...
..3....8...718...6..6.371.4....64.17...8...4....71.3...98...4..5..........1.4....
..34...8...718...6..6.371......64.17...8...4....71.3...98...4..5..........1.4....
..3....8...71....6..6.371.4....64.17...8...4....71.3...98...4..5..........1.48...
..34...8...71....6..6.371......64.17...8...4....71.3...98...4..5..........1.48...
Paquita
 
Posts: 132
Joined: 11 November 2018

Re: The BxB classification of T&E(2) puzzles

Postby Paquita » Wed Aug 21, 2024 7:46 pm

And some B9B

Code: Select all
..3..6.8..571...3.68.7...5..1563....7.65.8...83..7........6.91.........2..1....7.
.....6.8..571...3.68.7.3.5..156.....7.65.8...83..7........6.91.........2..1....7.
..3..6.8..571...3.68.7...5...153....7.56.8...83..7........6.91.........2.16....7.
.....6.8..571...3.68.7.3.5...15.....7.56.8...83..7........6.91.........2.16....7.
..3..6.8..571...3.68.7...5..1653....7.56.8...83..7........6.91.........2..1....7.
.....6.8..571...3.68.7.3.5..165.....7.56.8...83..7........6.91.........2..1....7.
..3.56.8...718..3.6..7...5..1863....53..7....7.68.5.......6.91.........2..1....7.
....56.8...718..3.6..7.3.5..186.....53..7....7.68.5.......6.91.........2..1....7.
..3.56.8...718..3.6..7...5...183....53..7....7.86.5.......6.91.........2.16....7.
....56.8...718..3.6..7.3.5...18.....53..7....7.86.5.......6.91.........2.16....7.
..3.56.8...718..3.6..7...5..1683....53..7....7.86.5.......6.91.........2..1....7.
....56.8...718..3.6..7.3.5..168.....53..7....7.86.5.......6.91.........2..1....7.
1.3....89.5...9.3..8...15.4.341...5881....4..9.5...3.1...6.....54.9.3.......7....
1.3....89.5...913..8....5.4.341...5881....4..9.5...3.1...6.....54.9.3.......7....
..3....89.5...913..8...15.4.341...5881....4..9.5...3.1...6.....54.9.3.......7....
1.3....89.5...9.3..8...15.4.341...58.1....4..9.5...3.1...6.....5489.3.......7....
1.3....89.5...913..8....5.4.341...58.1....4..9.5...3.1...6.....5489.3.......7....
..3....89.5...913..8...15.4.341...58.1....4..9.5...3.1...6.....5489.3.......7....
1.3....8945...9.3..8...15...3.1...5881....4..9.5...3.1...6.....54.9.3.......7....
1.3....8945...913..8....5...3.1...5881....4..9.5...3.1...6.....54.9.3.......7....
..3....8945...913..8...15...3.1...5881....4..9.5...3.1...6.....54.9.3.......7....
1.3....89.5...9.3......15.4.341...5.81....4..9.5...3.1...6.....5489.3.......7....
1.3....89.5...913.......5.4.341...5.81....4..9.5...3.1...6.....5489.3.......7....
..3....89.5...913......15.4.341...5.81....4..9.5...3.1...6.....5489.3.......7....
1.3....8945...9.3..8...15...3.1...58.1....4..9.5...3.1...6.....5489.3.......7....
1.3....8945...913..8....5...3.1...58.1....4..9.5...3.1...6.....5489.3.......7....
..3....8945...913..8...15...3.1...58.1....4..9.5...3.1...6.....5489.3.......7....
1.3....8945...9.3......15...3.1...5.81....4..9.5...3.1...6.....5489.3.......7....
1.3....8945...913.......5...3.1...5.81....4..9.5...3.1...6.....5489.3.......7....
..3....8945...913......15...3.1...5.81....4..9.5...3.1...6.....5489.3.......7....
.2..56...45......6..9.......1.....7..7.23..5..3..716.2....6712....3.2..7...5...63
.2..56...45......6..9.......1....3...7.23..5.....716.2....6712....3.2..7...5...63
.2..56...45......6..9.......1....3...7.23..5..3..716.2....6712....3.2..7...5...6.
.2345.....5...9.3.7....2.4.........8......1.....9.7.53.72..5..45.437....9..2.4...
.2345....45...9.3.7....2...........8......1.....9.7.53.72..5..45.437....9..2.4...
.23.5....45...9.3.7....2.4.........8......1.....9.7.53.72..5..45.437....9..2.4...
.2345.....5...9.3.7....2.4.........8......1.....927.53.72..5..45.437....9....4...
.2345....45...9.3.7....2...........8......1.....927.53.72..5..45.437....9....4...
.23.5....45...9.3.7....2.4.........8......1.....927.53.72..5..45.437....9....4...
.2345.....5...9.3.7......4.........8......1.....927.53.7...5..45.437....9..2.4...
.2345....45...9.3.7................8......1.....927.53.7...5..45.437....9..2.4...
.23.5....45...9.3.7......4.........8......1.....927.53.7...5..45.437....9..2.4...
.2..56...45......6..9.......1....37....2...5..7..316.2....6712....3.2..7...5...63
.2..56...45......6..9.......1....3.....27..5..7..316.2....6712....3.2..7...5...63
.2..56...45......6..9.......1.....7..3.2...5..7..316.2....6712....3.2..7...5...63
.2..56...45......6..9.......1....37..3.2...5..7...16.2....6712....3.2..7...5...6.
.2..56...45......6..9.......1....3...3.27..5..7...16.2....6712....3.2..7...5...6.
Paquita
 
Posts: 132
Joined: 11 November 2018

Re: The BxB classification of T&E(2) puzzles

Postby denis_berthier » Thu Aug 22, 2024 3:33 am

Paquita wrote:Some more B10B

All have a tridagon, 64 (/147) are solved with the tridagon+W2+S3

Paquita wrote:And some B9B

All have a tridagon, 12 (/47) are solved with the tridagon+W2+S3


Until now, all the puzzles in BpB, p>7, have a (non-degenerate) tridagon
(if I haven't missed any. Without a database being kept updated, it's getting hard to be sure.)
denis_berthier
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Posts: 4209
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