Square of Squares
(Published on 12. May 2025, 21:33 by juggler)
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
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
on 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.
