Roots in the Fog
(Published on 9. August 2025, 08:00 by Kaktuslav)
Rules: Normal Sudoku rules apply.
- Rooters: Exactly nine cells in the grid are rooters. The value of a rooter equals the square root of its digit (in all other cells, the value equals the digit). No two rooters share a row, column, box, or digit.
- Kropki: A black dot connects two cells where one value is double the other (not all such dots are necessarily given).
- Thermometers: Values on thermometers strictly increase from bulb to tip.
- Arrows: The sum of the values along an arrow equals the value in the attached circle.
- German whispers: Along green lines, neighboring values differ by at least 5.
- Renban: On each purple line, the set of values consists of consecutive integers in any order.
- Equal product cages: All cages have the same product of values (digits or values may repeat within a cage if allowed by other rules).
- Dynamic fog of war: The grid is partially covered in fog. Entering correct digits may clear some fog (not necessarily beneath or around the entered digit). No guessing is required.
Solution code: Row 8
Comments
on 16. August 2025, 01:41 by juggler
The logic with the cages was unexpected and really interesting!
on 15. August 2025, 23:04 by mir85
Brilliant! Absolutely loved it :)
on 11. August 2025, 13:22 by QuiltyAsCharged
Superb puzzle! It really uses the idea of rooters to their full potential.
on 10. August 2025, 12:44 by Franjo
Absolutely amazing! Thank you very much for creating and sharing this wonderful math puzzle. To my surprise I would give only 3* for difficulty.
on 10. August 2025, 12:31 by Exigus
That was really interesting, im rooting for more roots! Thanks!
on 10. August 2025, 05:39 by fitzie
This was a bit easier than a four for me, which I rarely bother to attempt to solve. i liked how the fog lifted at the perfect moments.
on 9. August 2025, 22:43 by Snookerfan
Very nice. I loved the equal product cages. Thank you
on 9. August 2025, 21:07 by wuc
Awesome setting. Tend to 4.5*. The ideas are awesome. You need some math knowledge on roots and factorizations. I loved that. Brilliant math puzzle.
on 9. August 2025, 20:38 by etoler
There are some tough deductions in this one, but they're all very cool. Really fascinating to see how all the different rules are affected by the rooters. Nice puzzle!
on 9. August 2025, 19:16 by JEENS
this sudoku is impossible
on 9. August 2025, 16:43 by Fisherman
Halley's comet.
on 9. August 2025, 14:29 by SKORP17
faszinierende Equal product cages
