Rellik Loop
(Published on 9. February 2024, 19:17 by blackjackfitz)
Rellik Loop
Rules:
- Normal sudoku rules apply.
- Killer: Digits in the given killer cages must sum to the total in the top left-hand corner.
- Kropki: Digits separated by a black dot are in a 1 to 2 ratio. Digits separated by a white dot are consecutive.
- Rellik Loop: Draw a single one-cell wide loop that moves orthogonally through the centers of cells, and does not branch, overlap, or touch itself (not even diagonally). All of the purple diamond 'relliks' are on the loop. The loop creates a set of rellik cages where every discreet set of orthogonally connected digits on the loop and within a single box is considered a rellik cage. In a rellik cage, any combination of one or more digits CANNOT sum to the rellik cage value. A rellik cage value is equal to the number of cells in the rellik cage. If the loop passes through a box multiple times, each individual segment is its own rellik cage. e.g. A 6 cell rellik cage may not contain (1,2,3), (1,5), (2,4) or a 6.
I wanted to explore the rellik cage idea after seeing Sujoyku's Reliably Unreliable feature on CTC. I hope you enjoy my take on this ruleset! You can play Sujoyku's puzzle here.
Solution code: Row 9
Comments
on 21. January 2025, 13:00 by Visumation
Loved box 5. Lovely puzzle.
on 26. February 2024, 17:31 by Sapio
very enjoyable puzzle. Thank you so much!
on 26. February 2024, 08:48 by QuiltyAsCharged
Wonderful puzzle! Several great "aha" moments.
on 25. February 2024, 23:40 by blackjackfitz
clarified rules
on 25. February 2024, 22:04 by samuel1997
What an incredible idea! Fabulous!
on 17. February 2024, 23:02 by marty_sears
Really loved this, and was happy that it wasn't as difficult as it looked at first glance. Loved the box 5 deduction :)
on 17. February 2024, 20:29 by ViKingPrime
This is going on my "favourites" list immediately.
on 17. February 2024, 19:22 by blackjackfitz
Removed duplicate rule
on 15. February 2024, 10:09 by vollbesonderbar
Very nice Flow!
on 13. February 2024, 16:29 by cam
Really smooth solve. It's not a one trick pony--there were several nice bits of logic throughout.
on 12. February 2024, 19:47 by CaptZebraCakes
Concur with sujoyku... fantastic puzzle! Thanks!
on 12. February 2024, 18:19 by sujoyku
Thank you for this amazing puzzle, blackjackfitz! It is an honour that my Rellik cages were used for such a beautiful loop idea. As I often struggle with loop/drawing snakes puzzles, I was lucky to solve this one alongside with CaptZebraCakes. We both deeply enjoyed the solve. For me it felt harder than 3/5. (As mentioned above, I am not too confident when it comes to loop puzzles.) Anyhow, thanks again for setting and sharing this nice challenge!
on 9. February 2024, 22:15 by yttrio
Excellent puzzle! The Rellik logic proved to be very useful throughout the whole solve.
