Sissa's Lines
(Eingestellt am 30. August 2026, 18:19 Uhr von Kjupatrick)
Sissa's Lines by Patrick Junke
Rules:
The standard Sudoku rules apply: place the digits 1–9 exactly once in each row, column, and 3×3 box.
Each line has a beginning and an end, neither of which is indicated.
Each cell on a line has an associated value. Starting from the beginning of a line, each cell's value is twice that of the previous cell.
The digit in each cell on a line is the digital root of its value: repeatedly add its digits together until a single digit from 1 to 9 remains.
For example, a cell with value 32 contains 5 (3 + 2 = 5). The next cell has value 64 and therefore contains 1 (6 + 4 = 10 → 1 + 0 = 1).
On each line, exactly one cell match its value.
Here is a link to a SudokuPad version of the grid.
Lösungscode: The 9 digits of the last column, from top to bottom
Kommentare
am 28. Oktober 2026, 01:13 Uhr von Rjw78
Thank you for the new rule set. I came to this puzzle after completing your foggy version, which I found trickier as I was still learning the new rule. I did watch the start of the ctc video this helped me understand the rule and the root digits. Starting this puzzle with the root digits fresh in my head gave me a great start. I made an assumption at the start and as I coloured in the puzzle really flowed. I was a little nervous when assigning my numbers at the end that my original assumption would be wrong and I would need to restart but yay all was good. So not sure I fairly found the break so will need to do more of these and continue learning. Thank you very much really fun
Patrick > Thank you for your feedback!! Althought this first version was not what I intended first (I wanted a long line with these rules, came later with the "...towards infinity" version), I like this break also with the three lines of size seven. But after that I had a long line that was too easy, so I break it in two, making the deduction for the short line in box 4 less smooth. I think I know what assuption you felt three to make, and the way to make a cleaner deduction (the one I found, may be others) is to reduce down the candidates of the line of size three in box 8.
am 17. September 2026, 20:50 Uhr von palletpusher
I solved this immediately after The Winding Path to Infinity because I enjoyed the ruleset so much. This one is a bit tougher, but I think part of that is because I tried to use the same solution logic when one additional tool is actually needed here to disambiguate. Thanks for this puzzle and ruleset, Patrick
Patrick> Yes. This one is the first one I made with these rules with the first idea I could come up to disambiguate the ends which required lines interactions.
I finally discovered how to disambiguate the ends of only one long line, which was more what I wanted to achieve from the beginning when I thought of these rules, and it gave Winding Path to Infinity.
Thank you again for your support.
am 30. August 2026, 21:55 Uhr von Kjupatrick
Precizing the last rule
am 30. August 2026, 21:48 Uhr von biorycbyd
The last rule is not clear, maybe it should be 'EXACTLY one cell may match its value'.
Otherwise, the values may start from any number, then this rule will be meaningless.
Patrick> Thank you very much for your feedback! I think you're right.
