Chaining Line
(Published on 23. January 2026, 04:24 by rhyrhy)
Rules
Chaining Line- Position number starts at the diamond, which is position 1.
- If a cell contains digit N, the next cell you visit is the cell at position N on the same line.
- Starting from the diamond, the path must visit each cell exactly once and then return to the diamond.
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Let's look at the example 34512 :
- The digit in the position 1 is 3, go to 3rd cell. It has digit 5.
- Go to 5th cell, and it has digit 2.
- By this logic you visit 1st, 3rd, 5th, 2nd, 4th, and then come back to diamond.
- Cells separated by a black dot contain digits in a 1:2 ratio.
- Cells separated by a white dot contain consecutive digits.
NOTE: Not all possible kropkis are necessarily given.
Solution code: Row 9
Comments
on 24. January 2026, 05:11 by rhyrhy
Improved descriptions
on 24. January 2026, 01:07 by HeyItsErin
Big thanks to the friends who helped clarify the rules! Everything unrolls nicely once the logic clicks.
on 23. January 2026, 22:34 by Aronana
The chaining is just like cycle notation in from group theory, but definitely tricky to explain in just a sudoku ruleset.
on 23. January 2026, 20:36 by GorgeousNicko
This is a nice puzzle and really not that hard. But, I too found the rules difficult to follow.@firespire's description was helpful.
To express their take slightly differently, use the term LLine for any Line containing exactly the digits from 1 to its length. Any LLine can be subdivided into cycles where one digit indexes the position of the next. For instance, in 134265, these cycles would contain {1}, {2,3,4} and {5,6}.
A Chaining Line is a LLine whose digits form a single cycle.
on 23. January 2026, 20:07 by firespire
Didn't understand what the rules meant, I hadn't come across "index" and just saw two sets of example digits that seemed to increase by one then drop to 1 which has nothing to do with the puzzle.
Turns out it's a relatively simple puzzle. Each line has digits on that are no greater than the line length.
The number in the diamond means go the that number position on the line counting from the diamond, the next number will send you to another position and you need to visit each position on the line once and return to the start.
