The New Sudoku Players' Forum

[Leren]

Hi Mike, I'll do this from memory. To Minlex a SudokuX puzzle:

1. Rotations and Transpositions the same as in ordinary Sudoku. 8 Cases.

2. Swap Rows 4 & 6 plus Columns 4 & 6. 2 Cases.

3. Permute Bands and Stacks 1 & 3 in the same/ mirrored order. 6 Cases.

eg Swap Rows 1 & 3, 7 & 9 and Columns 1 & 3, 7 & 9.

Total physical cases is thus 96.

4. Relabel Clues as in normal Sudoku.

As an example, consider the last example you gave me and the result.

Code: Select all

...................1.2.3.45..........64.7.8...........54.....32..................
...................1.2.3.45..........64.7.8...........54.....23..................

Looks odd, but is actually quite simple. The left hand 2 & 3 are in r3c46, so all you have to do is the r46c46 swap, relabel the 2 & 3 and you are done.

Leren

[m_b_metcalf]

Thanks to you both.

Mike

[Leren]

Found 2 new 13's.

Code: Select all

....................1...234.........56..7.8.1.........43...5.9...................
....................1.2.3.4............3.5.46.........46.78..5...................

Total is now 286. Leren

[philvo]

Hello,
Very nice X-sudokus !

I propose another similar challenge : find X-sudokus with the highest number of consecutive empty cells.
I found these ones with 44 cells :

Code: Select all

............................................7.642.1.5.51.96..2..49..283.8....7.1.
............................................9872.9..1..36.75.429....45.7.476...3.
............................................4162.37...9...6.18...7.9...5.1.54.6..


phil

[m_b_metcalf]

45 cells:

Code: Select all

 . 3 1 6 . 8 9 5 .
 9 . 2 7 . 1 3 . 8
 8 7 . 3 . 4 . 6 1
 2 4 3 . 1 . 6 7 5
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .

Regards,

Mike

[m_b_metcalf]

47 cells:

Code: Select all

 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . 9 1 . . 7 5 6
 . 5 . . . 8 . 9 .
 . 9 4 . 7 2 . 8 5
 . . 7 . 3 5 . 6 2

[m_b_metcalf]

48 cells:

Code: Select all

 . 1 . . 5 8 . . 4
 . 7 2 . 9 . . . 1
 . 5 . . 3 1 9 . 2
 9 4 1 6 8 5 . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .

[m_b_metcalf]

49 cells:

Code: Select all

 . . 4 . . 7 . 9 8
 . 3 6 . . 4 . 1 7
 . 5 8 . 9 6 . . 3
 2 1 3 5 7 . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .

[m_b_metcalf]

51 cells:

Code: Select all

 . 3 6 . . 7 5 4 .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . 2 . 9 4
 . 2 . . 4 1 . . 3
 . 5 4 . 8 9 6 7 .

[m_b_metcalf]

52 cells:

Code: Select all

 . . . . 5 . 9 1 6
 . 1 8 . 9 3 5 7 .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . 2 9 4
 . 9 . 4 6 2 3 . 7

[m_b_metcalf]

53 cells:

Code: Select all

 . . . . . 3 5 4 9
 . 8 . 2 5 . 7 . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . . . .
 . . . . . . 9 2 1
 . 4 6 7 2 . . . 3

I'll stop now.

Mike

[philvo]

Well done, Mike !
Personally, I found this X-sudoku with the first 47 empty cells :
...............................................42.3571.8.34..5.7.6.892..5...7.18.
phil

[m_b_metcalf]

Here are a few more with 53 consecutive empty cells, and only 15 clues:

Code: Select all

.....1234.5.62.1.....................................................478.6157....   ED=2.0/1.5/1.5   
.....1234.5.26.1.....................................................478.3275....   ED=2.9/1.5/1.5   
.....1234.5.62.1.....................................................478.2679....   ED=3.0/1.5/1.5   
.....1234.5.62.7.....................................................418.6751....   ED=3.6/1.5/1.5   
.....1234.5.62.1.....................................................478.3657....   ED=4.5/1.5/1.5   
.....1234.5.63.1.....................................................478.3275....   ED=5.7/1.5/1.5   
.....1234.5.36.1.....................................................478.6157....   ED=7.1/1.5/1.5   
.....1234.5.62.1.....................................................478.6517....   ED=7.2/1.5/1.5   
.....1234.5.36.7.....................................................478.3657....   ED=8.4/1.5/1.5   


Mike

[urhegyi]

Well done, Mike !
Personally, I found this X-sudoku with the first 47 empty cells :
...............................................42.3571.8.34..5.7.6.892..5...7.18.
phil

Here is one with the first 48 empty cells and only 16 clues.

Code: Select all

................................................3.2869.5..4..2...4.197..6...8.53.


And another with the first 49 empty cells and only 16 clues.

Code: Select all

..................................................5287.2..3..6.4.5.129..9...8.13.

[m_b_metcalf]

Personally, I found this X-sudoku with the first 47 empty cells :
...............................................42.3571.8.34..5.7.6.892..5...7.18.

It can be tweaked to get to 48:

Code: Select all

...............................................42.3571.8.34..5.7.6.892..5...7.18.
................................................2.3591.8.34......6.892..5...7.68.

Mike