Ouroboros
(Published on 20. April 2021, 03:14 by zetamath)
Normal sudoku rules apply.
In the grid above, you are to shade squares to form a single closed loop that is 1 cell wide. The loop may not touch itself even diagonally.
Within each cage in the grid, the shaded squares and the unshaded squares sum to the same number. As usual, digits do not repeat within cages.
The circles contain the number of adjacent cells that are part of the loop. This number includes the cell itself, the orthogonally adjacent squares, and the diagonally adjacent squares. Not all circles are given.
Have fun, leave a comment if you enjoy the puzzle!
Solution code: Row 4 followed by Column 6
Comments
on 13. January 2023, 19:05 by StephenR
Very nice and smooth-flowing, thanks.
on 10. September 2022, 20:45 by codewizard
For those who prefer the CTC App: https://app.crackingthecryptic.com/sudoku/67NL6D4jBH
on 26. July 2022, 15:32 by Christounet
Beautiful puzzle ! The beginning of the solve got me a little cornered... ;) but then it unwound pretty quickly because the rules worked so well together that it felt very natural to juggle with them through the solving process. Thanks a lot for setting these gems.
on 10. August 2021, 19:39 by uvo_mod
Labels angepasst.
on 31. May 2021, 17:23 by Mody
Wunderschön konstruiert.
on 8. May 2021, 13:41 by Klausku
Brilliant construction with a very nice ruleset. Beginning was hard for me but then it went smootly. Thank you very much.
on 5. May 2021, 19:03 by Phistomefel
The idea behind the rules is very clever and allows for some lovely logic. And the puzzle is very well set. Thank you so much, zetamath!
[Thank you so much for the compliment! I always so appreciate and enjoy your puzzles, it is really exciting to hear you enjoyed mine!]
on 4. May 2021, 02:54 by Vebby
Enjoyed the puzzle very much! :)
on 25. April 2021, 23:55 by Rangsk
Very fun puzzle with a smooth solution path!
on 21. April 2021, 15:48 by henrypijames
Very intricate indeed.
on 20. April 2021, 13:10 by Tilberg
Very nice. Some fun logic on the way. The different parts of the ruleset work well together - whenever you deduce something through one rule and get stuck, one of the other rules jumps right in and saves the day. :-D
on 20. April 2021, 09:23 by PixelPlucker
Very fun premise! The arithmetic and shading components are very intertwined. And I love that your solution paths, regardless of difficulty, are always so clear. :)
