Logic Masters Deutschland e.V.

Eye of the Beholder (w/ Calvinball)

(Published on 10. April 2026, 11:38 by oskode)

This puzzle was set in collaboration with Calvinball whom I want to thank for making this the enjoyable experience that it was. He's not only a clever setter, but also a very kind person. Here's for more collaborations in the future!

Rules:

  • Sudoku: Fill all rows, columns and marked 3x3 regions with the digits 1-9 without any repeats.
  • Question Marks: Each question mark acts as a stand-in for a digit, which must be deduced for each question mark.
  • Quadruples: Each circle contains 2 digits. The 2 digits must appear in at least one of the four cells surrounding that circle (if a digit repeats in a circle, it must appear twice).
  • Arrows: Digits along an arrow sum to a two-digit number. This number is a concatenation of both digits in the attached circle.

For clarity: A circle with the digits {1, 9} would be surrounded by at least one copy each of the digits 1 and 9 and could have arrows that summed to either 19 or 91. Its arrows could not sum to 11 nor 99, this would require a {1, 1} circle surrounded by two 1s or a {9, 9} circle surrounded by two 9s respectively.


Click here to play online!

Ratings and comments are very much appreciated. Thank you for playing!

Solution code: The digits in row 9 from left to right


Solved by Luaryo, tuturitu, Calvinball, SirWoezel, mihel111, Manta-Ray, sorryimLate, Qodec, ManlyPebbles, NEWS, lianarox, Wulture, kehan628, RebelSystem, mathhead, gdc, Jesper, wuc, SKORP17, M8tyw31, Exigus, ... pmays123, Elker, Crusader175, Snookerfan, farodin64, Franjo, AndiPandi, samuel1997, avishai, EFlatMinor, Mr. Happy, salsais, Vodakhan , thunderyspoon7, darkgently, mse326, Scojo, SennyK, Sotehr
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Comments

on 13. April 2026, 13:07 by darkgently
I like this ruleset! A smooth and pleasant solve, thank you.

on 11. April 2026, 14:37 by Franjo
Thank you both very much for creating and sharing this beautiful puzzle. A pleasure to figure out how these unusual arrows work.

on 11. April 2026, 09:36 by Snookerfan
Very nice! A beautiful ruleset and great setting make this a joy to solve, thanks

on 10. April 2026, 22:11 by zeniko
Clever combination of two familiar constraints. Thanks for sharing.

on 10. April 2026, 19:58 by sujoyku
Thank you for this lovely puzzle, oskode and Calvinball!

on 10. April 2026, 19:47 by Exigus
Very interesting stuff. Some a bit tricky but well worth it. Thanks!

on 10. April 2026, 19:03 by wuc
Very refreshing puzzle. Felt very handcrafted. Great setting thx.

on 10. April 2026, 13:39 by mihel111
Great concept. Nice to work with.
Well done.

on 10. April 2026, 12:59 by Calvinball
I had a great time working on this project with you oskode! Really pleased with how this puzzle turned out and excited to see what the future could hold :D

Difficulty:3
Rating:96 %
Solved:43 times
Observed:1 times
ID:000S9B

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