Toroidal sudoku with hands group

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Toroidal sudoku with hands group

Postby urhegyi » Wed Jan 20, 2021 12:23 am

I saw a post on this topic http://forum.enjoysudoku.com/jigsaw-layouts-generate-test-t35712-15.html and tried to generate one myself.
JS:
Code: Select all
3...4...........9.......5....7......9.......615.8................47......8....1.. 122233311122233344552233444555234444555516666777789666777889966778889991118889991 ED=3.4/1.7/1.7

Image
What's typical at this group is when you generate a (minimal pattern 8 clues)
JSB:
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.............................9.6...4.............53...............8......2..1.... 122233311122233344552233444555234444555516666777789666777889966778889991118889991 ED=3.0/2.8/2.6

and solve it as a JSBX you can make use of the conjecture it allways forcess the diagonal pattern and can be solved in an easier way with a lower rating.
Code: Select all
.............................9.6...4.............53...............8......2..1.... 122233311122233344552233444555234444555516666777789666777889966778889991118889991 ED=2.9/2.8/2.6

I first generated a normal JS (see picture above).
It hasn't this property, it's only for JSB. But perhaps it has some hidden constraints too. Needs further investigation.
For the JSB(X) see picture below. It can be solved with or without diagonals.
Image
Another minimal example:
Code: Select all
....3........8.................6.......7.4.......5.................2........1.... 122233311122233344552233444555234444555516666777789666777889966778889991118889991

Image
urhegyi
 
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Joined: 13 April 2020

Re: Toroidal sudoku with hands group

Postby 1to9only » Wed Jan 20, 2021 9:24 am

Some more examples are here: 8 clue Hands variant
I'm guessing that the 'Hands' naming comes from the irregular region ressembling a pointy hand!!
1to9only
 
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