[Special thanks to Microstudy for help making this grid look as pretty as possible.]
Normal sudoku rules apply.
Each circle marks the head of a familiar line constraint which takes the form of a snake of length from 2 - 9. The specific constraint is indicated by the color of the circle (or by a letter on the color blind friendly version). The circle contains the length of the snake. The snakes move orthogonally through the centers of some cells, and do not touch themselves orthogonally. Snakes may freely touch each other, but do not share cells.
The gray cells in box 4 are not part of any snake.
The featured clue types are as follows:
Renban (purple - R) : The digits on a renban line form a permuted sequence of consecutive digits. Digits do not repeat along a renban.
Region Sum Lines (Blue - S ) : The cells along a region sum line in each box it passes through sum to the same total. Region sum lines always occupy at least two regions.
German Whispers (Green - W) : Adjacent digits along a German whispers line differ by at least 5.
Modular Lines (Yellow - M) : Each string of three adjacent cells along a modular line contains one of 147, one of 258, and one of 369. Length two modular lines contain one of each of two of these groups.
Entropic Lines (Orange - E) : Each string of three adjacent cells along a modular line contains one of 123, one of 456, and one of 789. Length two entropic lines contain one of each of two of these groups.
Parity Lines (Red - P): Adjacent digits along a parity line have opposite parity.
Ten Lines (Gray - T) : Digits along a ten line must be entirely divided into non-overlapping groups of adjacent cells which sum to 10. Digits may repeat within these sums if allowed by other rules.
Have fun, leave a comment if you enjoy the puzzle!
Play this puzzle in SudokuPad with letters to help tell the colors apart.
PS: I stream solving sudoku like puzzles three days a week. You can check out the channel, as well as some videos I have made about setting puzzles, at my YouTube channel here.
Solution code: Row 9
on 15. July 2024, 19:27 by wuc
On of my all time favorites of over 300 solved puzzles. So smooth. So constant in difficulty. Always fair. Great setting. Masterpiece. Thx.
on 7. June 2024, 22:55 by StephenR
Another corker from zetamath. The solve was a beautifully flowing path, peppered with lovely logic.
on 11. September 2023, 22:51 by Jolly Rogers
This was a pleasure to solve from start to finish, it always felt like there was something to work with and not strainingly difficult. Great interactions :)
on 10. August 2023, 21:47 by Christounet
Beautiful and fun ! Thanks :)
on 28. July 2023, 12:07 by Niverio
Very smooth, very fun!
on 28. July 2023, 03:03 by twototenth
Excellent work as usual - challenging but clean.
on 28. July 2023, 02:30 by HumanBirdsong
This felt like a ‘greatest hits’ album of all the best logic available for each line type. Just a fantastic experience to work through the puzzle and score my first four-star solve. Thank you so much, zetamath!
on 25. July 2023, 17:46 by DaniK
Wonderful puzzle! I was not initially convinced to try it because of the quantity of rules but I glad I did. It was super fun and with a great flow. Thanks!
on 24. July 2023, 19:16 by Silverbyte
Excellent! A lot of fun
on 23. July 2023, 21:50 by chalk235
great fun!
on 23. July 2023, 20:46 by samuel1997
Brilliant puzzle! Surprisingly approachable for me! I think this may be a 3* puzzle, and it could be a tutorial puzzle for those who are beginners for BYO puzzles.
on 23. July 2023, 15:07 by Fool on Hill
Great puzzle - enjoyed it lots: plenty to think about
on 23. July 2023, 00:16 by Nordy
Holy interactions, Batman!
on 22. July 2023, 23:30 by karlmortenlunna
Absolutely fantastic!
on 22. July 2023, 13:36 by erml
What a joy!
on 21. July 2023, 20:27 by redgecko
Absolutely brilliant. Loved every step and as a non expert would say fairly approachable for a 4*. Keep em coming Z.
on 21. July 2023, 19:47 by yttrio
I'm not sure there's much more that can be said that isn't already in the comments. This is one of my favorite puzzles that I've solved recently!
on 21. July 2023, 17:57 by Blashyrkh
Ridiculously good, so many clever little moments in a single puzzle.
on 21. July 2023, 07:33 by Silverscree
This puzzle just doesn't stop giving! Eureka!
on 20. July 2023, 22:54 by madhupt
Very sayisfying puzzle! Beautiful break-in and so smooth after that.
on 20. July 2023, 22:25 by tesseralis
absolutely amazing that this solves with nothing in the bottom. Another masterpiece with plenty of jaw-dropping moments!
on 20. July 2023, 21:12 by Bankey
Brilliant puzzle. Thanks, @ zetamath:).
on 20. July 2023, 20:19 by shteev
I didn't find this very hard, but it was fun!
on 20. July 2023, 19:51 by OutOfMyMindBRB
What a work of art! Beautiful :-)
on 20. July 2023, 18:48 by Snookerfan
Smooth as butter and very nice! Thank you
on 20. July 2023, 17:05 by GeorgeTheToad2
Great puzzle Zetamath. Took ages to break-in but once in it flowed smoothly. Thank you for sharing.
on 20. July 2023, 16:58 by Starlight
Another beautiful puzzle with perfect logic by the master. So glad I managed to get through this, it's hard but definitely doable.
It's possibly my favourite puzzle so far
on 20. July 2023, 16:08 by bansalsaab
Beautiful puzzle.
on 20. July 2023, 15:32 by OutOfMyMindBRB
What a work of art! Beautiful :-)
on 20. July 2023, 13:50 by Piatato
Cool puzzle!
on 20. July 2023, 13:50 by Myxo
Lovely puzzle!
on 20. July 2023, 13:46 by Steven R
Beautiful puzzle, thanks!
on 20. July 2023, 11:46 by ONeill
Neither link is working for me
on 20. July 2023, 09:07 by sasheo
What a great way to sssstart the day!
The flow was so nice, they felt like eels. :D
on 20. July 2023, 08:41 by MicroStudy
lovely snakery