Logic Masters Deutschland e.V.

Arrow Mosaic

(Published on 6. July 2026, 16:00 by Blobz)

Oil and Water Puzzle Pack

X : Arrow Mosaic

Normal sudoku rules apply.

Each cage is either full of "oil" (even digits), full of "water" (odd digits), or a mix of both. In all cases, each "row" within a cage is of just one type (oil or water). Oil floats on water, so even digits will always be in rows above odd digits in mixed cages.

Digits in cages do not repeat.

Digits along arrows sum to the digit in the attached circle. Digits may repeat along arrows if allowed by other rules.

Have fun, leave a comment if you enjoy the puzzle!

Play this puzzle on SudokuPad

Oil and Water Puzzle Pack (Available Now...)
See Also...

Solution code: Row 4

Last changed on on 23. August 2026, 17:32

Solved by vollbesonderbar, jalebc, NeroChaos, Crul, Blake Saligia, Yahhavp, mcc, Mr_tn, tuturitu, DanishDynamite, jordanza, Tompzini, amirs, Baklin, edwardio0, marcmees, NEWS, TheCutmaster, Uhu, SKORP17, ... Kolobra, Ye Nay Myo Han, ly_ra17, KyleBaran, k2u5as, AvonD, ThymePass, GWilliams00, Wenir, Quent'1, quinnikins, PippoForte, itsid, jhsa, Motty, olegavibe, jsxft, SpeedHacked, leszeks, TheShubhi
Full list

Comments

on 1. September 2026, 02:30 by Motty
Very fun logic!

on 27. August 2026, 01:20 by itsid
that was a bit harder to scan (for me) for some reason.. I lost concentration quite a few times.

Only when I heavily recoloured my grid (over and over again) I was able to keep track.
I must have been missing an important bit midway through
sooo yet another third star in my book ;-)

on 12. August 2026, 17:29 by ThymePass
Colouring was fun. Working out the arrow sums was also interesting. Great puzzle!

on 21. July 2026, 18:24 by bhambells
Colouring easier than the numbers. Because information is spread so uniformly round the whole grid, the right pieces can be difficult to find.

on 9. July 2026, 21:56 by Anthony
I am a little surprised people are having a difficult time with this one. I typically have a hard time with 2 star puzzles, but this one to me felt on the very easy end of 2 stars, but still certainly not a 1 star breeze.

on 9. July 2026, 11:05 by LisaFr
After reading the comments, I was a little worried whether I'd be able to solve this, but to me once I had filled in the colors, the numbers didn't just jump out, but they also didn't feel that difficult to do. Might just depend on how you look at a sudoku, I guess. Thank you blobz for another nice puzzle!

on 7. July 2026, 14:03 by Franjo
Pouring in oil and water was nice and easy. Putting in the digits was much harder than expected. Anyway, thank you for creating and sharing another O&W- puzzle.

on 7. July 2026, 12:31 by VitP
this cannot be level 2.
working out the materials is easy enough, if you are familiar with these variants.
working out the values is not

on 6. July 2026, 22:39 by galium_odoratum
Interesting, my solving time (20min) indicates a 2*, but one deduction by contradiction felt like 3* to me. Overall still a fun puzzle which deserves a higher rating imo, thank for setting this delightful series!

on 6. July 2026, 17:36 by Yahhavp
Really liked the interaction of the arrows and the oil-water constraint, took me a bit to get my head around but solved very smoothly when I finally did!

Difficulty:2
Rating:90 %
Solved:135 times
Observed:0 times
ID:000T7U

Variant combination Online solving tool

Enter solution

Solution code:

Login