Chaos Construction: Internal X-Sums
(Eingestellt am 11. Juli 2022, 23:23 Uhr von KNT)
She came up with this ruleset for chaos constructions a little over a week ago and I instantly thought it was fantastic, as it is a simple, elegant way to interweave pure region geometry logic with arithmetic, while still having strong control over the final grid and overall solve path.
This puzzle is my take on her ruleset, and I am exceedingly happy at how it turned out. I hope you are as surprised at the minimalism in this grid as I was when I set it, while still (hopefully) having well telegraphed steps throughout the solve.
The opening of this puzzle is also slightly inspired by Phistomefel's wonderful Killomino Sudoku, and for those who have solved that, you will likely understand why. I hope you enjoy this one, and I also hope solving it isn't a herculean effort like many of my other puzzles.
Rules:
Normal Chaos Construction rules apply.
A digit in a clued cell is an internal X-Sum clue. A digit X in a cell containing a number N in its top left corner indicates that cell sees X digits in its region and that those digits sum to N. Region borders obstruct vision.
Below is a 6x6 example to demonstrate the ruleset. A Penpa+ link can be found here.
Lösungscode: Column 4 followed by Column 8
Kommentare
am 22. Oktober 2023, 11:55 Uhr von StephenR
Lovely puzzle, thanks. I made some headway but then struggled yesterday but when I came back to it today it fell into place surprisingly smoothly.
am 22. Februar 2023, 21:11 Uhr von Piatato
Really nice and reasonably smooth solve. Excellently selected clues!
am 18. Oktober 2022, 06:30 Uhr von Xendari
I had such a fun time solving this, it's absolutely my favourite puzzle from you! The opening logic was stellar (beautiful telegraphing), and the flow throughout was very satisfying. Thank you!
am 5. Oktober 2022, 19:40 Uhr von ONeill
Such an impressive construction with so little clues. The deductions were really satisfying, thanks :)
am 31. Juli 2022, 16:50 Uhr von koba1917
Really amazing puzzle! I thought for sure the break in would stump me but I'm so glad I stuck with it!
am 30. Juli 2022, 18:22 Uhr von twobear
Great puzzle again. Thank you!
am 19. Juli 2022, 08:20 Uhr von Mip
KNT just keeps cranking out these super interesting puzzles.
am 15. Juli 2022, 10:38 Uhr von MagnusJosefsson
Wonderful puzzle, and a very impressive construction!
am 13. Juli 2022, 16:53 Uhr von Snookerfan
Great puzzle! When I first read the rules, I couldn't imagine that it would solve. Very well set!
——
Would you believe me if I told you it (while not really humanable) was still unique with the 23 and 24 as “?” clues instead? :)
--------------------
Wow, that is amazing! I guess those clues were a bit less important in the solve than the others, but still quite unbelievable!
am 13. Juli 2022, 09:03 Uhr von marcmees
an other top quality CC. thanks.
——
thanks marc, glad you enjoyed it!
am 12. Juli 2022, 23:19 Uhr von Jesper
A wonderful puzzle, thanks!
——
And thank you for solving, Jesper!
am 12. Juli 2022, 12:01 Uhr von Vebby
Fantastic! Loved the region construction logic. Thanks KNT! Your setting productivity and quality is remarkable. :)
----
I assure you, the frequency at which you solve is far more remarkable :)
----
Haha, thank you! =^_^=
am 12. Juli 2022, 11:39 Uhr von Christounet
Great puzzle again ! When I saw your comment on jovi_al's puzzle the other day, I knew you'd come up with a related puzzle in no time ! But that quick ?! You're a setting machine man !!
----
I wish I could say I made this in a couple hours but she mentioned this ruleset to me last week. I set this over the course of last weekend, so I don't think I qualify for the "machine" title quite yet :)
She also has made 3 puzzles with this ruleset in the meantime that I have tested, so I hope some of those end up here in the next week or so as well...
In case you (or anyone else) is curious, I set a draft of this in about 3 or 4 hours, but that draft was sadly nonunique, so I came back to it for a few hours here and there to fix it... so probably this set was about 6 or 7 hours total, which is definitely on the faster end for me. I'd say 8-10 hours is my average, though some (Aquatic Construction, Ariadne, Roadblock) have certainly taken me much longer to set.
am 12. Juli 2022, 06:30 Uhr von Agent
Cool puzzle but it needs more little killers. I'm disappointed.
——
you have problems
——
Yes
am 11. Juli 2022, 23:24 Uhr von Niverio
Very lovely opening!
——
Thanks, Niv!
