Logic Masters Deutschland e.V.

Kropki Madness

(Published on 16. November 2025, 00:46 by Artham)

An experiment I made a while ago with some interesting kropki variations.

Normal sudoku rules apply.

Pairs of orthogonally connected cells that are in different regions contain consecutive digits. Digits cycle over, 9 and 1 are considered consecutive. The first and last cells of each row and column are considered orthogonally connected.

Cells separated by a black dot (orthogonally or diagonally) contain digits with a ratio of 1:2.

Cells separated by a white dot (orthogonally or diagonally) contain consecutive digits.

Not all black or white dots are given.

Try it on sudokupad

Solution code: first row from left to right

Last changed on on 16. November 2025, 02:31

Solved by Jagga, Marshal on Mars, Fisherman, Jarian Amone, soyorin, ymhsbmbesitwf, dkfan9, SKORP17, crwn, katze, TripleABattery, Mathemagier, brimmy, Starlight, Bordi, StevenS, gdc, TeddieMilo, connnor, ... vitaminz, saxdaddyj, OJPS, Shmartus, Chelo, teuthida, War, Caswell, Photyne, zuzanina, Nagesh, Gui48, Chiefredhawk, abihummel, timww572, Frank Puzzles, paranoid, tim_vermeulen, jgarber, Lovejoy
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Comments

on 18. November 2025, 00:59 by dzamie
After a brief hangup at the start (forgot that 9 and 1 are adjacent), this went quite quickly and smoothly! It was fun watching the numbers spread out from the start.
Very easy puzzle, but very enjoyable.

on 17. November 2025, 18:10 by Decapod
I had to re-read the rules when I got stuck in the late game; I had forgotten that the grid is toroidal (connected at the edges). Very nice ruleset and a smooth solve, once I knew all the rules!

on 17. November 2025, 02:00 by StevenS
Note that the "9 and 1 are consecutive" rule applies not only to orthogonally connected cells in different regions, but also to white dots.

on 16. November 2025, 16:22 by dkfan9
Very cool expansion of the kropki ruleset, nice puzzle, thanks!

on 16. November 2025, 11:51 by ymhsbmbesitwf
Pretty and fun!

Personally i'd use boxes instead of regions in rules description where applicable; it's not that it's incorrect, the rules are super clear and well phrased, just less precise wordings do happen and regions made me triple check there isn't any possibility of a chaos construction element here. Just a thought on clarity for future iterations.

on 16. November 2025, 05:58 by Fisherman
Outstanding and approachable.

on 16. November 2025, 02:31 by Artham
Thanks for pointing out, I corrected the link.

on 16. November 2025, 01:16 by StevenS
I'd love to try it on sudokupad, but the link goes to discord.com.

Difficulty:2
Rating:95 %
Solved:54 times
Observed:0 times
ID:000Q5F

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