Modropic Lines 2
(Published on 20. December 2025, 12:03 by GraphZahl81)
I have decided to use modropic lines for another puzzle. Not sure yet whether it will turn into a mini series.
Standard Sudoku rules apply: Every row, column, and 3x3-box contains the digits 1-9 exactly once.
Every line in this puzzle is both entropic and modular: Any set of three consecutive cells on a line contains a small digit (1,2,3), a medium digit (4,5,6), a large digit (7,8,9), and a digit from each of the sets (1,4,7), (2,5,8), and (3,6,9).
No two lines in this puzzle contain the same set of digits (i.e. there is at least one digit that lies on one of the lines, but not on the other). Furthermore, all lines are maximal in the sense that they cannot be extended without branching or meeting another line.
The letter V between two cells indicates that their digits have sum 5. For the letter X, their sum is 10. Not all possible letters are necessarily given.
Solution code: The digits of row 5 (9 digits)
Comments
on 25. December 2025, 12:24 by GraphZahl81
@L00ping007: Sorry for the late reply, I don't check my notifications as often during the holidays.
Your interpretation is exactly what that sentence means. For every line in the puzzle, if one were to continue in any direction from either of its ends while avoiding all other lines, the resulting line would violate at least one of the entropic/modular properties.
on 21. December 2025, 07:40 by GraphZahl81
Clarified the description of the solution code.
on 21. December 2025, 01:46 by Fisherman
Excellent puzzle.
