Third Order Logic
(Published on 26. October 2025, 22:57 by Die Hard)
Normal sudoku rules apply. Digits on a pink renban line form a consecutive set in any order. Box borders divide blue lines into regions of equal sums. Every three digit sequence on a teal modular line consists of one digit from each of the sets (1, 4, 7), (2, 5, 8), and (3, 6, 9). A digit on one side of a black kropki dot is double the digit on the other side. Digits on an arrow sum to the digit in the attached circle.
Please leave a comment if you enjoy this puzzle.
Solution code: All 9 digits in row 1.
Comments
on 7. December 2025, 17:28 by iwilliams001
Beginner here, can anyone give me any clue at all. At least explain what third order means. Thanks
Die Hard: As has been mentioned in other comments, the puzzle title does offer a clue as to how to start the puzzle. I won't explain this further as this would give it away. Since you have noted you are a beginner, I would recommend you find some 3 and 4 star puzzles to tackle and come back to this puzzle later once you have built up your experience. I'd also recommend watching the CTC channel - you will periodically see puzzles solved that require the same solving techniquies required in this puzzle.
on 7. November 2025, 17:47 by virus_dave
Very challenging but insanely fun, thank you!
on 6. November 2025, 00:06 by reformist
One of my favorites. Quite a while just staring at it looking for something--anything--to help me in. Then I saw it, and it was a beautiful and consistent solve.
on 1. November 2025, 11:13 by Djirt
Спасибо, великолепная идея! Очень красиво!
on 30. October 2025, 21:59 by Phistomefel
A beautifully constructed and very enjoyable puzzle! Thanks a lot, Die Hard! (:
on 28. October 2025, 23:09 by Fool on Hill
Really cool puzzle. It is one you can stare at for a long time making little progress but if you see the right thing it unlocks a really interesting puzzle which has depth and uses the clues beautifully. Everything works together through the solve.
on 28. October 2025, 16:03 by Playmaker6174
Very neat and cleverly set puzzle! It's a consistent flow till the end for me too, but I really like how well it made use of the main results throughout :)
on 28. October 2025, 14:56 by jwsinclair
Beautifully constructed, enjoyed this a lot :)
on 27. October 2025, 21:31 by CorpJigsQuand
Great puzzle. Including my favourite type of modular lines - ignorable till they solve themselves. Thanks for setting
on 27. October 2025, 21:02 by oskode
What an absolute gem, thank you so much for sharing!
on 27. October 2025, 20:22 by nunc
I found the break-in quite quickly, and then it was a beautiful, steady flow. Thanks a lot for this superb puzzle!
on 27. October 2025, 18:00 by Snookerfan
Sublime! I stared at the puzzle this morning in total wonder, gave up, noticed the title this afternoon and then suddenly understood what I was supposed to do. Really smooth and beautiful puzzle after the break-in. Thank you
Die Hard: I had hoped someone would get an ah-ha moment from the title, and I am glad it was you!
on 27. October 2025, 17:06 by sujoyku
I found it very tricky and possibly would not have gotten there without some assistance. (Thank you, Calvinball!) But what a fantastic ride this has been! If you keep asking questions, the grid gives and gives and gives. Thank you for this wonderful construction, Die Hard!
Die Hard: I especially liked how the kropkis interacted with the various types of lines. I'm so glad you enjoyed it and thank you!
on 27. October 2025, 16:35 by Myxo
Fantastic!
on 27. October 2025, 14:59 by Calvinball
This is crazy well put together, thank you so much for sharing this!
Die Hard: Thank you for your comments and for passing this on to Sujoyku and others. I'm so glad you enjoyed it.
on 27. October 2025, 14:15 by lmdemasi
Very enjoyable, and not actually so tricky.
