This puzzle is based off of an idea I got from Nordy. A puzzle with a similar rule set by The Bard can be found here. Estimated difficulty is between 3 and 4 stars.
Rules:
Normal Sudoku rules apply.
Digits in cells separated by a black dot have a 2:1 ratio. Not all possible dots are necessarily given.
Slitherlink: Draw a single continuous loop along the borders of cells that never crosses itself and never branches. In this puzzle, the loop is NOT allowed to touch the outside border of the grid. Cells marked with a square act as slitherlink clues (i.e., the digit in a marked cell gives how many of its four sides are segments in the loop).
Any two cells separated by a loop segment must contain consecutive values. In other words, every loop segment acts as a white Kropki dot.
Lösungscode: Column 4 with hyphens between digits separated by the loop. (for example, column 4 with hyphens from the 6x6 example puzzle would be 2-1563-4)
am 1. Juni 2024, 21:53 Uhr von KNT
cool!
am 6. Mai 2024, 18:31 Uhr von dumediat
Incredibly smooth with some really nice logic, thank you!
am 13. April 2024, 13:23 Uhr von Krokant
Fantastic Puzzle. :)
am 29. März 2024, 06:19 Uhr von Nordy
Amazingly intricate solution path! Loved it
am 26. März 2024, 15:51 Uhr von Christounet
Enjoyed both puzzles. Quite the "tour-de-force" to find a valid grid with the myriad of white dots than comes with the ruleset ! Thanks :)
am 25. März 2024, 20:35 Uhr von goodcity
Great puzzle with some fantastic steps !
am 25. März 2024, 14:09 Uhr von ninjamunk
My first "slither"-puzzle. Absolutely brilliant! Really loved it.
am 25. März 2024, 06:14 Uhr von Phistomefel
This puzzle has such cool deductions and I have been laughing all the way through the solve. Also, I believe it was not easy to construct. I have to say I am a bit curious - if you want to share that piece of information: how long did it take you to find a constellation that didn't end in a contradiction?
------------------
Thanks for solving and for the kind comment! It definitely took quite a few iterations to get a working version. I'm don't recall the exact time, but it took multiple days spending a couple hours each day.
~yttrio
------------------
Ah, I see. I feared that constructing this beauty might have taken a while. Thanks for sharing, yttrio!
Phistomefel
am 24. März 2024, 23:17 Uhr von cam
My brain was already pretty damaged to begin with, so I don't think this had the same effect on me ;) It was a really smooth beautiful puzzle as always. You should be proud of this one.
am 24. März 2024, 20:13 Uhr von LeweLotki
This puzzle has demaged my brain. Amazing solution
am 23. März 2024, 21:28 Uhr von Myxo
Cool puzzle!
am 22. März 2024, 22:16 Uhr von kublai
Loved this combination! I wish I could give this puzzle better than a 'very nice' rating.
am 22. März 2024, 21:37 Uhr von Calvinball
This one molted my brain in the best ways possible.