The New Sudoku Players' Forum

Website · by **denis_berthier** » Sat Jan 16, 2021 5:33 am

There was the spiral pattern; here is the square spiral one:

Code: Select all: . . . . . . . . . X . . . . . . . . X . X X X X X X . X . X . . . . X . X . X . X X . X . X . X . . X . X . X . X X X X . X . X . . . . . . X . X X X X X X X X .

And here is an easy, non minimal puzzle with this pattern:

Code: Select all: +-------+-------+-------+ ! . . . ! . . . ! . . . ! ! 2 . . ! . . . ! . . . ! ! 3 . 7 ! 1 6 5 ! 8 4 . ! +-------+-------+-------+ ! 7 . 5 ! . . . ! . 2 . ! ! 8 . 9 ! . 3 7 ! . 1 . ! ! 1 . 6 ! . . 4 ! . 8 . ! +-------+-------+-------+ ! 6 . 2 ! 3 4 9 ! . 5 . ! ! 9 . . ! . . . ! . 7 . ! ! 4 1 8 ! 5 7 2 ! 3 6 . ! +-------+-------+-------+ .........2........3.716584.7.5....2.8.9.37.1.1.6..4.8.6.2349.5.9......7.41857236. # 290 FNBTY C36 36 givens, SER 7.2

For advanced participants, the challenge may be to find puzzles with the same pattern but higher SER.

by **Leren** » Sat Jan 16, 2021 7:30 am

Code: Select all: *----------------------------------* | 5 8 14 | 47 2 3 | 67 9 167 | | 2 6 14 | 47 9 8 | 57 3 157 | | 3 9 7 | 1 6 5 | 8 4 2 | |----------+-----------+-----------| | 7 c34 5 |a689 18 16 |b469 2 36 | | 8 d24 9 |e26 3 7 | 456 1 56 | | 1 23 6 |f2-9 5 4 | 79 8 37 | |----------+-----------+-----------| | 6 7 2 | 3 4 9 | 1 5 8 | | 9 5 3 | 68 18 16 | 2 7 4 | | 4 1 8 | 5 7 2 | 3 6 9 | *----------------------------------*

(9) r4c4 = (9-4) r4c7 = r4c2 - (4=2) r5c2 - r5c4 = (2) r6c4 => - 9 r6c4; stte

Leren

by **RSW** » Sat Jan 16, 2021 8:35 am

Code: Select all: +---------+-----------+-----------+ | 5 8 14 | 47 2 3 | 67 9 167 | | 2 6 14 | 47 9 8 | 57 3 157 | | 3 9 7 | 1 6 5 | 8 4 2 | +---------+-----------+-----------+ | 7 34 5 | 689 18 16 | 469 2 36 | | 8 24 9 | 26 3 7 | 456 1 56 | | 1 23 6 | 29 5 4 | 79 8 37 | +---------+-----------+-----------+ | 6 7 2 | 3 4 9 | 1 5 8 | | 9 5 3 | 68 18 16 | 2 7 4 | | 4 1 8 | 5 7 2 | 3 6 9 | +---------+-----------+-----------+

(6=2)r5c4-(2=9)r6c4-(9=7)r6c7-(7=3)r6c9-(3=6)r4c9 => -6r4c46 -6r5c79 stte

by **JPF** » Sat Jan 16, 2021 11:21 am

Code: Select all: +-------+-------+-------+ ! . . . ! . . . ! . . . ! ! x . . ! . . . ! . . . ! ! x . x ! x x x ! x x . ! +-------+-------+-------+ ! m . m ! . . . ! . x . ! ! m . m ! . x x ! . x . ! ! m . m ! . . x ! . x . ! +-------+-------+-------+ ! x . x ! x x x ! . x . ! ! x . . ! . . . ! . x . ! ! x m x ! x x x ! x x . ! +-------+-------+-------+

Again, using Mauricio's lemma (cells with m) we can say that this pattern doesn't have any minimal puzzles.

JPF

by **rjamil** » Sat Jan 16, 2021 2:44 pm

Code: Select all: +-----------+--------------+--------------+ | 5 8 14 | 47 2 3 | (67) 9 167 | | 2 6 14 | 47 9 8 | 57 3 157 | | 3 9 7 | 1 6 5 | 8 4 2 | +-----------+--------------+--------------+ | 7 34 5 | 689 18 16 | 469 2 36 | | 8 24 9 | (26) 3 7 | 45-6 1 56 | | 1 23 6 | (29) 5 4 | (79) 8 37 | +-----------+--------------+--------------+ | 6 7 2 | 3 4 9 | 1 5 8 | | 9 5 3 | 68 18 16 | 2 7 4 | | 4 1 8 | 5 7 2 | 3 6 9 | +-----------+--------------+--------------+

1) ALS move: 2679 @ r16c7 r56c4 => -6 @ r5c7; and

Code: Select all: +-------------+-------------+---------------+ | 5 8 14 | 47 2 3 | 67 9 167 | | 2 6 14 | 47 9 8 | 57 3 157 | | 3 9 7 | 1 6 5 | 8 4 2 | +-------------+-------------+---------------+ | 7 (34) 5 | 689 18 16 | 69-4 2 (36) | | 8 2-4 9 | 26 3 7 | (45) 1 (56) | | 1 23 6 | 29 5 4 | 79 8 37 | +-------------+-------------+---------------+ | 6 7 2 | 3 4 9 | 1 5 8 | | 9 5 3 | 68 18 16 | 2 7 4 | | 4 1 8 | 5 7 2 | 3 6 9 | +-------------+-------------+---------------+

2) WXYZ-Wing: 3456 @ r4c29 r5c79 => -4 @ r4c7 r5c2; stte

R. Jamil

Website · by **denis_berthier** » Sat Jan 16, 2021 2:58 pm

JPF wrote:Again, using Mauricio's lemma (cells with m) we can say that this pattern doesn't have any minimal puzzles.

Good to know.

by **pjb** » Sat Jan 16, 2021 10:04 pm

Code: Select all: 5 8 *14 |*47 2 3 | 67 9 *167 2 6 *14 |*47 9 8 | 57 3 *157 3 9 7 | 1 6 5 | 8 4 2 ------------------------+----------------------+--------------------- 7 34 5 | 689 18 16 | 469 2 3-6 8 24 9 | 26 3 7 | 456 1 *56 1 23 6 | 29 5 4 | 79 8 37 ------------------------+----------------------+--------------------- 6 7 2 | 3 4 9 | 1 5 8 9 5 3 | 68 18 16 | 2 7 4 4 1 8 | 5 7 2 | 3 6 9

BUG-lite (type 3) of 147 at r12c349 + r5c9 => -6 r4c9; stte

Phil

Square Spiral 7.2