Polarity Loop
(Published on 9. March 2025, 21:08 by brainteaserartisan)
Puzzles in the series:
1. Whispering Loop
2. Parity Loop
3. Polarity Loop
4. Opposite Loop
Enjoy!
Rules:
- Normal sudoku rules apply.
- Digits in cages cannot repeat and must sum to the clue in the corner.
- Digits separated by the V must sum to 5.
- Digits separated by a white dot must be consecutive, and digits separated by a black dot must be in a 1:2 ratio (one digit is double the other).
- Not all Vs or dots are necessarily given.
- Draw a one-cell-wide loop of orthogonally connected cells that must pass through every cell in every cage without visiting any cage more than once. The loop cannot touch itself orthogonally but may touch itself diagonally.
- The loop acts as a polarity line, meaning adjacent digits must alternate between low (1, 2, 3, 4) and high (6, 7, 8, 9).
Comments are welcome, but please be kind.
Solution code: The sum of the high digits on the loop in boxes 1 and 7
Comments
on 19. June 2025, 21:12 by brainteaserartisan
Updated puzzle list.
on 20. March 2025, 01:15 by fragglerock1981
I'm not usually very good at loop / path puzzles, but this was a great introduction to the concept. Thank you for creating and sharing!
on 12. March 2025, 16:35 by haligonian
Incredible puzzle and my first ever loop. Maybe a 1.5* break in, but then it goes quickly from there.
on 12. March 2025, 00:00 by dingledork
Calculating the solution code was more challenging than the puzzle, but that’s mostly because I’m dumb sometimes
on 11. March 2025, 02:57 by Sicario
First timer. I guess I'm now in the loop.
on 10. March 2025, 21:41 by Azukay
Nice, first try at a loop puzzle, very enjoyable solve
on 10. March 2025, 18:31 by cfunkmi
Very nice puzzle. I don't typically like loop puzzles, but this was fun and approachable.
on 10. March 2025, 05:10 by Karitsu
This was superb!
on 10. March 2025, 01:40 by Garizon
I had more trouble with this one than I should have in hindsight. Very well constructed and thank you for the puzzle.
