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From: TranslucentAmoebae on 4 Mar 2006 20:09
i looked over the Sudoku material that this group produced awhile
ago...
But there doesn't seem to be a Sudoku Maker...???
i've been playing around with this a little bit, and it seems that you
have to assign numbers to the squares in a HOLISTICAL manner...???
OR-- Wouldn't it be AWFUL if the commercial makers of the Soduko
Puzzles laborous figured out 1 or 2 solutions, and were using those 2
as TEMPLATES for ALL THE OTHERS...!!!
Gawd Forbid.
The number of choices per square seem to follow this arrangement
9-8-7:6-5-4:3-2-1
That is 9 different possibilities for the first square, 8 for the next
and so on...
The next Row would be:
6-5-4:6-5-4:3-2-1
Is that right...???
Then:
3-2-1:3-2-1:3-2-1
Then the fourth Row, Second line of Boxes
6-6-6:6-5-4:3-2-1
???
5-5-4:5-5-4:3-2-1
3-2-1:3-2-1:3-2-1
Last Row of Boxes
3-3-3:3-3-3:3-2-1
2-2-2:2-2-2:2-2-1
1-1-1:1-1-1:1-1-1
Does that look right...???
If so: that would allow for:
15,284,122,844,890,270,459,737,600,000,000
Possibilities...!!!
( This is the last calculation that i did before i lost the Card Cover
for my 48...!!! )
But not all of these possibilities will actually work...???
There is something that i'm missing out on...
i did find ONE method to reliably make a full sudoku,
But it looks really hokey...!!!
You Simple arrange the first digit randomly, according to the desired
parameters for a legal sudoku, and then add the rest of the digits
AROUND THAT FIRST DIGIT, for each box...
So if 2 were above 1 in the first box, it would be above 1 in the
second box...
It would look a little varied, since you'd be Modulizing some of the
placements...
But still...
Has anyone else been playing around with this...
And then also:
After you get a viable Sudoku done, how can you erase a bunch of the
digits to make sure that there are Just Barely ENOUGH to solve it, But
that it yields only ONE Unique Solution...???

From: TranslucentAmoebae on 12 Mar 2006 15:48
i finally got around to doing a little reading on this, and i keep
coming across references to 'Backing Up'...!!!
When i first started working on this, i realized that alot of the
solutions that i was generating would hit a dead end, and i would have
to backup to the last fork, and start over...
And i got to thinking... There must be... ??? ...one of those tricky
approaches to making these like there is for Magic Squares...???
Isn't there...???
It's beginning to look like there isn't, and as such, with all the
necessary trail and error required... it may be an chronologically
intractable problem for an electrobox like the 48 or even the 49...???
[ !!! ]

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