## Toroidal sudoku with hands group

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Toroidal sudoku with hands group

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`

What's typical at this group is when you generate a (minimal pattern 8 clues)
JSB:
Code: Select all
`.............................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.

Another minimal example:
Code: Select all
`....3........8.................6.......7.4.......5.................2........1.... 122233311122233344552233444555234444555516666777789666777889966778889991118889991`

urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Toroidal sudoku with hands group

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

Posts: 3448
Joined: 04 April 2018