Square of Squares
(Published on 12. May 2025, 21:33 by juggler)
Cracking the Cryptic
video
click on the puzzle image to play
LATIN SQUARE - Place the digits 1-9 once each in every row and column.
LATIN SQUARES - Subdivide the grid into smaller latin squares, which can be any size except 1×1. An N×N latin square contains exactly N unique digits selected from 1 to 9.
DISJOINT - Latin squares with the same size may not have the same digit in the same relative position. (Example: if a 4×4 latin square has a 7 in its upper left corner, no other 4×4 latin square may have a 7 in its upper left corner).
ARROWS - Digits on an arrow sum to the digit in the attached circle.
Author's note: the solution is still unique without the rule forbidding 1×1 squares... but that version is much harder and less enjoyable to solve.
Solution code: Row 1
Last changed on on 20. May 2025, 21:51
Solved by aqjhs, Ramez, steeto, NEWS, fkib, sandcu225, Dentones, Leaving Leaves, Palfly Kampling, Mr. Happy, mihel111, Default, bansalsaab, Ineffabilis, SKORP17, Isael, nighthawkranger, woody, SPring, lcy.30, ... Morisenseiisgod, zonka, Exigus, tuoni2, pmatos, Illuminated, Chishiri, widjo, jinkela114514, dpatti, Uhu, waltzoftheflowers, Yaqoobik, Noxy78, SZCrow, psams, CutieRainbow, dorverbin, cygne
Comments
on 27. July 2025, 16:04 by cygne
This is just fabulous. One of my all-time favorites. Kudos!
on 3. June 2025, 00:07 by Exigus
Seemed very hard so put it off for when I knew I had more time. Happy I came back to it. Very cool. Thanks!
on 21. May 2025, 00:21 by antiknight
Great idea!
on 15. May 2025, 21:48 by vitaminz
If puzzles like this don’t make you see the beauty of math I don’t know what will
Last changed on 13. May 2025, 13:29on 13. May 2025, 13:27 by mihel111
Beautiful logical steps. Lost a lot of time realizing a latin square is not a magic square.
on 13. May 2025, 12:23 by Mr. Happy
Wow. Tremendous
on 13. May 2025, 00:49 by Ramez
That was hard, but really beautiful. Thank you for setting and sharing this awesome puzzle.
on 12. May 2025, 22:47 by aqjhs
magnificent.