Hidden Arrow Sums - Yin Yang
(Eingestellt am 2. August 2026, 08:42 Uhr von Killer Joe)
Hello.
I wanted to revisit this ruleset because there was quite a bit of confusion surrounding my first version (Magnetic Yin Yang). This time I've rewritten the mechanic as Invisible Arrows, which I hope makes everything much clearer. The example image below should explain the idea at a glance.
I really wanted to avoid using diagonal clues for this second version. It took more than a few iterations, but I'm very happy with how it turned out. Testers on Discord rated it around ★★★, though I'd personally place it closer to ★★★★.
Normal sudoku rules apply.
Color each cell either green or red such that: Each color forms a single orthogonally connected region. No 2×2 block of cells is entirely one color.
Invisible arrows: Treat each clue cell as the bulb of one or more invisible straight arrows. A green clue sums the red digits on its arrow; a red clue sums the green digits on its arrow. Cells of the same color as the clue may lie on the arrow but are not counted.
Each arrow extends from the clue in the indicated direction.
Counting begins at the first cell of the opposite color and continues until the arrow terminates, either at the edge of the grid or on a cell of the same color as the clue (its cap).
An arrow may not terminate within a contiguous run of cells of the opposite color. Thus, if an arrow includes any cell from such a run, it includes the entire run.
All arrows are straight. Different arrows may cross or overlap.
If a clue points in more than one direction, each arrow independently sums to the clue digit.
Have fun.
Lösungscode: Row 9, first 6 digits.
Kommentare
am 5. August 2026, 10:49 Uhr von Wuschel
Very nice and smooth, thanks a lot!
This really deserves a much better rating than the current 88%. Rules were clear IMO, what made it difficult for me was that I set with a similar rule with its very own implications, which absolutely DON'T apply here...
am 3. August 2026, 06:22 Uhr von monaters
Rules imply to me that arrows end after the first continuous run of counted digits, and end when it reaches the same color as the bulb, but your example contradicts it. Not really sure what the point of even saying anything other than the "can't end within a run of counted digits" is, since thats the only real restriction.
Look, I'm trying my best to make things as understandable as possible. I'm referring to a previous puzzle with the same ruleset, but written differently. There are comments, there's an example image. The ruleset clearly states that cells of both colors can appear on arrows. Arrows can cross and even overlap. How else can I make it clear?!
am 2. August 2026, 20:14 Uhr von jmw
Loved it, and I think ★★★ is actually fair. If anyone's wavering over the difficulty, it's well worth a go.
am 2. August 2026, 11:11 Uhr von Elliott810
Brilliant puzzle! Thank you:)
