Modular Miracle
(Published on 22. September 2026, 14:35 by masetab)
Hope you enjoy!
Play the sudoku here:
Rules:
Normal sudoku rules apply.
Adjacent digits along the positive diagonals (all diagonals running bottom-left to top-right) must differ by a multiple of 3 (inlcuding 0). Digits a chess knight's move apart cannot be identical.
Cells joined by an X sum to 10. Cells joined by a V sum to 5. Cells joined by a small blue inequality sign ("<" or ">") must obey the inequality shown, with the sign pointing toward the smaller of the two digits.
Any feedback is welcomed! Also, I would love for you to check out some of my other puzzles if you enjoy!
Solution code: Row 1
Comments
on 25. September 2026, 16:23 by itsid
this is faszinating indeed...
never thought i'd be that easy of a puzzle by just looking at it and it's ruleset.
but once you get started, everything just falls into place, utterly amazing.
Very beautiful setting, thanks for sharing
on 23. September 2026, 03:09 by addie
I made a playthrough video of this puzzle if anyone is interested! Here's the link :) https://youtu.be/vdJiq6xgz5U
on 22. September 2026, 22:09 by Supertaster
@frown
0 is a multiple of 3. 3*0 = 0.
on 22. September 2026, 21:43 by brskri
Neat puzzle. I would also suggest placing an "(including 0)" after "multiple of 3" for ultimate clarity and transparency in the ruleset. Love the way this disambiguates with so few clues.
Hi brskri, thanks for the comment! I have updated the rules accordingly.
on 22. September 2026, 20:29 by Decapod
That was very clever. Quite the discovery!
on 22. September 2026, 20:07 by DarissaKTR
As with any good miracle, the moment you place the first digits, it cracks wide open. Not a very hard inital crack, but very, very satisfying
on 22. September 2026, 20:00 by ecstasy18
So fun!!
on 22. September 2026, 19:58 by frown
Warning - though the rules say "Adjacent digits along ... positive diagonals ... must differ by a multiple of 3," they need not differ. i.e. they can differ by 0
on 22. September 2026, 18:49 by pmays123
Very satisfying. Thanks for sharing
on 22. September 2026, 16:25 by emoney1374
Fun puzzle!
