yzfwsf wrote:2+2 or 4+0, 0+4 is not a dead pattern, while 1+3 or 3+1 is a dead pattern.
I'll have to check this part about diagonals and anti-diags, but I hold to the content of the special cell and on the eliminations rather than assertion view
yzfwsf wrote:2+2 or 4+0, 0+4 is not a dead pattern, while 1+3 or 3+1 is a dead pattern.
+-------------------------------+-------------------------------+-------------------------------+
! 123456789 123456789 123456789 ! 123456789 123456789 123456789 ! 123456789 123456789 123456789 !
! 123456789 123456789 123456789 ! 123456789 123456789 123456789 ! 123456789 123456789 123456789 !
! 123456789 123456789 123456789 ! 123456789 123456789 123456789 ! 123456789 123456789 123456789 !
+-------------------------------+-------------------------------+-------------------------------+
! 123 123456789 123456789 ! 123 123456789 123456789 ! 123456789 123456789 123456789 !
! 123456789 123 123456789 ! 123456789 123 123456789 ! 123456789 123456789 123456789 !
! 123456789 123456789 123 ! 123456789 123456789 123 ! 123456789 123456789 123456789 !
+-------------------------------+-------------------------------+-------------------------------+
! 123 123456789 123456789 ! 123 123456789 123456789 ! 123456789 123456789 123456789 !
! 123456789 123 123456789 ! 123456789 123456789 123456789 ! 123456789 123456789 123456789 !
! 123456789 123456789 123 ! 123456789 123456789 123 ! 123456789 123456789 123456789 !
+-------------------------------+-------------------------------+-------------------------------+
yzfwsf wrote:The arrangement of three cells in each box is divided into diagonal or anti-diagonal arrangement. If the arrangement of 4 boxes is 3*diagonal + 1*anti-diagonal or 3*anti-diagonal + 1*diagonal, then such an arrangement of 12 cells is considered oddagon.
yzfwsf wrote:The rules of diagonal and anti-diagonal are: find the two cells in the box where the row and column coordinates differ by 1, and the direction of the line between the two cells.
denis_berthier wrote:.yzfwsf wrote:The rules of diagonal and anti-diagonal are: find the two cells in the box where the row and column coordinates differ by 1, and the direction of the line between the two cells.
I can't make any sense of this.
diagonal arrangemant
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
anti-diagonal arrangement
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
denis_berthier wrote:.yzfwsf wrote:The arrangement of three cells in each box is divided into diagonal or anti-diagonal arrangement. If the arrangement of 4 boxes is 3*diagonal + 1*anti-diagonal or 3*anti-diagonal + 1*diagonal, then such an arrangement of 12 cells is considered oddagon.
Considered oddagon by whom? This doesn't have anything to do with oddagon, which are defined as chains of odd length and are totally unrelated to any diagonal conditions.
yzfwsf wrote:
- Code: Select all
diagonal arrangemant
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
- Code: Select all
anti-diagonal arrangement
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
.-------------.
| 123 |
| 123 |
| 123 |
'-------------'
yzfwsf wrote:denis_berthier wrote:yzfwsf wrote:The arrangement of three cells in each box is divided into diagonal or anti-diagonal arrangement. If the arrangement of 4 boxes is 3*diagonal + 1*anti-diagonal or 3*anti-diagonal + 1*diagonal, then such an arrangement of 12 cells is considered oddagon.
Considered oddagon by whom? This doesn't have anything to do with oddagon, which are defined as chains of odd length and are totally unrelated to any diagonal conditions.
12 cells construct a trivalue oddagon. See here: http://forum.enjoysudoku.com/the-hardest-sudokus-new-thread-t6539-810.html#p306966
denis_berthier wrote:All these blocks are equivalent to the first under the proper isomorphisms.
yzfwsf wrote:denis_berthier wrote:All these blocks are equivalent to the first under the proper isomorphisms.
A single box that is natural, what about 4 boxes, do you still think it is isomorphic? So before I said, 1 + 3 or 3 + 1.
denis_berthier wrote:Do you mean that there must be a global isomorphism such that:
- either 3 blocks are diagonal and 1 block is anti-diagonal
- or 1 block is diagonal and 3 blocks are anti-diagonal
and no other case (such as 4/0, 2/2.., 1/1...)
?
.---------------------------------.---------------------------------.---------------------------------.
| 123 123456789 123456789 | 123 123456789 123456789 | 123456789 123456789 123456789 |
| 123456789 123 123456789 | 123456789 123 123456789 | 123456789 123456789 123456789 |
| 123456789 123456789 123 | 123456789 123456789 123 | 123456789 123456789 123456789 |
:---------------------------------+---------------------------------+---------------------------------:
| 123 123456789 123456789 | 12356 123456789 12389 | 123456789 123456789 123456789 |
| 123456789 123 123456789 | 123456789 123 123456789 | 123456789 123456789 123456789 |
| 123456789 123456789 123 | 12389 123456789 12356 | 123456789 123456789 123456789 |
:---------------------------------+---------------------------------+---------------------------------:
| 123456789 123456789 123456789 | 123456789 123456789 123456789 | 123456789 123456789 123456789 |
| 123456789 123456789 123456789 | 123456789 123456789 123456789 | 123456789 123456789 123456789 |
| 123456789 123456789 123456789 | 123456789 123456789 123456789 | 123456789 123456789 123456789 |
'---------------------------------'---------------------------------'---------------------------------'
. . * | . . *
. * . | . * .
* . . | * . .
------+------
. . * | * . .
. * . | . * .
* . . | . . *
hendrik_monard wrote:Another 11.9 from the loki family?
8..17.93.......1.2.3..2..87......7.95.9.1....6...........9.73.8...23...1....8.29. 11.9/1.2/1.2
denis_berthier wrote:Note: I can't see how this pattern could seriously be called tri-value oddagon; it doesn't have anything common with an oddagon. As for the name Thor's hammer, it is also totally unjustified (the shape depends on morphs) and it reminds me of some websites that give similarly absurd names to anything. I think this pattern deserves a serious name.
+---+---+---+
|..1|2..|...|
|.2.|.3.|...|
|3..|..1|...|
+---+---+---+
|1..|3..|...|
|.3.|.2.|...|
|..2|..?|...|
+---+---+---+
|...|...|...|
|...|...|...|
|...|...|...|
+---+---+---+ to be valid , r6c6 cant be a 1, has to be one of 456789
+---+---+---+
|..1|2..|...|
|.2.|.3.|...|
|3..|..1|...|
+---+---+---+
|1..|3..|...|
|.3.|.2.|...|
|..2|..1|...|
+---+---+---+
|...|...|...|
|...|...|...|
|...|...|...|
+---+---+---+ no solutions
. . A | . . *
. * . | . * .
* . . | A . .
------+------
. . * | * . .
. A . | . * .
* . . | . . A
-----------------
| a . . | . . a |
| . c . | . c . |
| . . b | b . . |
-----------------
| . . b | b . . |
| a . . | . . a |
| . c . | . c . |
----------------
-----------------
| a . b | c . d |
| . x . | . x . |
| b . a | d . c |
-----------------
| . . . | . . . |
| . x . | . x . |
| . . . | . . . |
-----------------
-----------------
| x . . | x . . |
| . x . | . x . |
| . . x | . . x |
-----------------
| a . b | c . d |
| . x . | . x . |
| b . a | d . c |
-----------------
-----------------
| x . . | x . . |
| . x . | . x . |
| . . x | . . x |
-----------------
| x . . | . . x |
| . x . | . x . |
| . . x | x . . |
-----------------