Triangular Exploration
(Published on 10. August 2026, 10:12 by balpha)
This puzzle is reusing the constraint that I introduced in Triangular Growth. I've come to calling it “triangular lines” because by definition, the length of such a line is a triangular number. But if anyone has a better suggestion, or this constraint has in fact been used and given a name before, let me know!
Rules
Normal Sudoku rules apply.
Every line has a beginning and an end. The direction is to be determined by the solver.
Starting from the beginning, split a line into segments. The first cell is the first segment, the next two cells are the second segment, the next three cells are the third segment, and so on.
All segments on a line have the same sum. This sum may be different for different lines.
Solution code: Column 5, top to bottom
Comments
on 18. August 2026, 02:34 by Prof.Dori
Really nice puzzle, I quite enjoyed it!
on 11. August 2026, 11:35 by thegreatgazoo
Very fun constraint. It all flowed very smoothly until the satisfying resolution with the last line.
[balpha:] I love hearing that, thank you!
on 11. August 2026, 09:47 by faltenin
Very nice and more approachable than it seemed at first. Triangular works for me!
[balpha:] Thanks for weighing in on that :D I'm happy you enjoyed the puzzle.
on 11. August 2026, 01:39 by fallean
very cool rule
[balpha:] Great to hear you liked it, thank you for commenting!
on 10. August 2026, 22:53 by antiknight
Nice puzzle with a cool constraint!
[balpha:] Thank you, I appreciate the comment!
on 10. August 2026, 19:26 by fuxia
Very interesting, and surprisingly approachable. Thank you!
[balpha:] And thank you as well!
