Border Square Sums
(Published on 15. March 2024, 05:49 by Phistomefel)
- Write each digit from 1 to 9 into exactly one cell in every row, every column and every 3x3 box.
- The digits in each 2x2-square that crosses at least one box border, sum to a multiple of eight - except for the digits in the square marked in grey.
- The digits on an arrow sum to the digit in the attached circle.
Solution code: First and last row
Comments
on 5. August 2024, 16:08 by JumpInSide
I had more problems with this one than with the diagonals sums but in the end i got it. Great puzzle!
on 4. May 2024, 02:49 by Samish
A puzzle of my favourite kind, minimalist and full of discoveries :)
on 12. April 2024, 16:51 by Prutsbeest
Not too hard but very intricate and beautiful!
on 25. March 2024, 05:43 by shteev
Very beautiful! Took me ages to solve tho because while resolving all the implications and complexities of the ruleset, I'd keep forgetting the 2x2 rule only applies over box borders...
on 22. March 2024, 07:31 by Klausku
Beeindruckend, wie ein so simples ruleset zu mir völlig neuartiger Logik und Zusammenhängen führt. Und nachdem ich irgendwann den Einstieg gefunden hatten lies es sich tatsächlich gut lösen. Danke!
on 19. March 2024, 02:33 by antiknight
Amazing idea! Good that you are back.
on 19. March 2024, 02:10 by cam
Late to the party on this one! Excellent puzzle :)
on 16. March 2024, 21:54 by Phistomefel
Thanks a lot for the nice feedback, folks! (:
on 15. March 2024, 21:19 by Fool on Hill
Solves like magic - complete control of the main constraint and placing of the arrows to do a precise job at the right time.
on 15. March 2024, 21:02 by Lizzy01
Amazing, one of the best puzzles I've ever solved! I found it relatively 'easy', but I can definitely see how it can be tricky if you don't find a good way of thinking about it.
Also... Hello Simon!
on 15. March 2024, 20:37 by QuiltyAsCharged
Excellent puzzle! The implications of that simple rule are fascinating. I found it quite challenging to grasp, but really satisfying when I did.
on 15. March 2024, 20:34 by samuel1997
This is absolutely amazing! Simon, don't miss this!
on 15. March 2024, 20:12 by SudokuExplorer
Lovely puzzle! Really liked how it all came together. Reminded me of a puzzle by ProwlingTiger with a similar divisibility ruleset, which others might also want to try: https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=0003VZ
on 15. March 2024, 18:57 by henrypijames
3⅔ star difficulty and 5 star Phistomefel magic. I mean, I've solved it, but I don't really understand what's happened - I just followed my pencilmarks right to the finish.
on 15. March 2024, 14:58 by SirJefferE
Went from "This constraint seems super restrictive, should be pretty easy" to "...Nevermind, this looks impossible" and eventually ended up somewhere in between the two.
Some very pretty logic going on in there, with the kind of minimal setting that always makes me wonder if there's any difference at all between creating a puzzle, and being the first person to discover one.
on 15. March 2024, 12:56 by Myxo
Really nice idea!
