Wrench Heads (Chaos Construction)
(Published on 26. May 2022, 09:00 by Agent)
After solving many of them, I decided to create my own chaos construction puzzle! I hope you enjoy :)
Rules:
- Normal chaos construction rules apply. Each row, column, and region must contain the digits 1 to 9 once each. Regions must be determined by the solver.
- Digits along an arrow must sum to the digit in that arrow's circle. Digits may repeat on an arrow, if allowed by other rules.
- Digits on an arrow (excluding its circle) have an equal sum N within each region it visits. It is possible that some arrows visit only one region.
- At any intersection between arrows, both arrows must continue straight, and they cannot overlap.
Watch Mark's solve on CTC channel.
Solution code: Row 3 (left to right) then row 9 (left to right)
Comments
on 8. January 2024, 22:31 by Mad-Tyas
Brilliant construction!
on 20. February 2023, 20:46 by StephenR
Brilliant puzzle, thanks, liked the 234 deduction.
on 9. November 2022, 15:12 by MagnusJosefsson
A brilliant work of beauty!
-- Thanks Magnus!
on 19. October 2022, 19:24 by codewizard
What a great puzzle. Maybe nothing in it was extremely hard, but every deduction made you feel like a genious :) I had a major hiccup though. For me branching arrows are never obvious, and here I assumed that R9C1 summed the three cells, which caused a lot of trouble later on :) In this case they are more like two independent arrows, in which case do they not actually overlap?
-- Thank you @codewizard! You're not the only one that got confused with the branching arrow, and you're right that there is an overlap in this case, the extra rule was related to intersections only.
on 8. October 2022, 00:34 by Vebby
Excellent puzzle through all phases!
-- Thank you @Vebby!
on 27. August 2022, 17:26 by Agent
Added link to Mark's solution video.
on 27. July 2022, 17:00 by cdwg2000
Sharing my favorite chaos constructions solving process, [partition arrow area sum number - 哔哩 哔哩 哔哩 哔哩] https://b23.tv/k9svtnm
-- Thank you for sharing! Great solve.
on 8. July 2022, 15:34 by twobear
Wonderful puzzle. Thank you!
-- Thank you for the solve and the kind comment!
on 20. June 2022, 00:30 by Christounet
Very nice puzzle ! Original idea of chaos construction, with an elegant design as well ! Loved the logic with the "arrow sum lines". Thanks
-- Thank you for the kind words! I'm pleased to see that you liked the rules and logic of this puzzle.
on 6. June 2022, 23:08 by Mip
Maybe its on me for not running into forking arrows enough, but I misinterpreted the arrow at the bottom left (tried to add up all cells on the arrow instead of each branch.)
It messed up my attempts to solve until I got someone to point that out. Otherwise, super fun puzzle!
-- You're not the only person that got confused with this. By normal arrow rules it is clear that R9C1 = R7C1+R8C2 = R8C2+R9C3. But I think the additional equal sum constraint makes it counter-intuitive.
Nevertheless, I'm glad this puzzle was to your liking!
on 2. June 2022, 21:48 by AFrayedKnot
Beautiful logic. Surprisingly complex logic for such simple rules.
-- Thank you for test solving the puzzle! I'm glad you liked it.
on 30. May 2022, 19:52 by wenchang
Very Enjoyable.
https://youtu.be/_Qx3Ae12W1I
-- Thank you for yet another feature! Always a pleasure to watch :-)
on 27. May 2022, 22:51 by DiMono
The puzzle is easier when you remember how counting works. :D Excellent puzzle, thank you for sharing it.
Thank you for the kind words and for solving the puzzle! I'm glad you enjoyed.
on 26. May 2022, 16:25 by Jesper
Cool puzzle, thanks!
-- Thanks for solving the puzzle, I'm glad you enjoyed!
on 26. May 2022, 16:17 by kolot
Absolutely wonderful puzzle with very beautiful logic all the way. I loved it.
-- Thank you for the humbling comment! I am glad you enjoyed the logic in the puzzle.
on 26. May 2022, 15:58 by purpl
I love the absurdly long arrow ;) also... I will leave a hidden comment about the step I really love
-- Thank you for the kind feedback! Speaking of absurdly long arrows... ;)
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=0009WB
on 26. May 2022, 14:48 by It's Starq Jr.
Challenging but not ridiculously hard, very original and reaaally satisfying puzzle, great job :D
-- Thank you for the great feedback! Good to hear it was a satisfying solve and the right level of challenge for you.
on 26. May 2022, 12:05 by Steven R
Very nice!
-- Thank you for the kind comment! I'm glad you enjoyed.
